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Kate Jeffery on spatial cognition and grid cells

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How does the brain build a map of three-dimensional space when a full volumetric representation would be prohibitively expensive? Neuroscientist Kate Jeffery explains why the rat navigation system appears to favor flat maps stitched together into a mosaic , and what this reveals about the evolutionary trade-offs shaping spatial cognition. Subscribe for more from the Convergent Science Network podcast series. Kate Jeffery joins Paul Verschure and Tony Prescott at the BCBT summer school to discuss her research on how place cells, grid cells, and head direction cells handle the vertical dimension. Her laboratory has found that grid cells, which fire in periodic hexagonal patterns on flat surfaces, do not produce the same metric structure in the vertical plane. On a pegboard where rats move horizontally at different heights, grid fields extend into strips rather than grids. On a climbing wall where the body is parallel to the surface, something more grid-like appears. The implication is that the system maps space relative to the plane of the animal’s body rather than constructing a universal three-dimensional coordinate frame. The discussion addresses what this means for models of spatial cognition. Jeffery proposes a multi-planar model in which the brain tiles complex three-dimensional environments with locally two-dimensional map fragments, linked by some coarser three-dimensional information. She explains why this is an efficient evolutionary solution: a full 3D map would require vastly more neural resources, while a patchwork of flat maps supplemented with elevation cues handles most real-world navigation demands. The conversation also explores how the head direction system might cope with three dimensions , whether through a spherical attractor, three orthogonal ring attractors, or a simpler scheme that just tracks yaw on whatever surface the animal occupies. Key topics include the relationship between grid cells and contextual cues, the developmental sequence of spatial cell types, the influence of deep learning on thinking about modularity in the brain, and the practical constraints that ecology imposes on neural representations of space. Part of the Convergent Science Network podcast series from the BCBT Summer School.

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Both the triumphs of humanity and its most evil deeds have resulted from collaboration. In a time where humanity is required to aspire to the former and minimize the latter, the question arises of how collaboration arises and why it fails. Surprisingly, this phenomenon, so central to who we are, is not well understood. Hence, a collaborative effort is required to understand collaboration in its full biological, psychological, sociological, cultural, and economic complexity and to translate this understanding into operational impact. This series of podcasts is one step toward achieving these complementary goals. The Collaboration Podcast presents interviews with people who are central orchestrators of collaboration in various domains including business, government, science, art, health, sustainability, and the military. The discussions were conducted by Prof. Dr. Paul F.M.J. Verschure and members of the Program Advisory Committee of the Ernst Strungmann Forum on Collaboration (https://www.esforum.de/forums/ESF32_Collaboration.html) during 2021 and had the goal to sketch a map of opportunities, challenges, and obstacles in human collaboration. The forum took place in May 2022, and now we would like to share this series of interviews with a broader audience. The full report of the Forum will be published in 2023 by MIT Press. The podcast was produced by the Convergent Science Network (https://www.convergentsciencenetwork.org/). Context: The stability of social systems depends critically on realizing sustainable methods of “collaboration,” yet how and by which means collaboration is achieved is not clearly understood; neither are the conditions or processes that lead to its breakdown or failure. Collaboration can be understood as cooperation between agents toward mutually constructed goals. Part of the reason for our lack of understanding is that the phenomenon of collaboration is, by nature, a highly multidisciplinary problem, and effective research into its complexities has been difficult to achieve across the broad range of scientific and technical disciplines involved. The need for a fundamental understanding of collaboration, however, has become increasingly important. Not only does humankind demand answers as it attempts to address critical challenges at multiple scales (e.g., climate change, migration, enhanced automation, social and economic inequality), but ever-increasing technological and economic means of interconnecting people and societies are disrupting long-established, familiar patterns of how we interact. Radical technological changes that are ongoing have the potential to reshape collaboration in ways that are currently hard to predict or influence (e.g., by altering configurations in interaction, information creation, and modes of communication). On one hand, such changes could disrupt hitherto stable forms of collaboration by affecting critical communication channels and traditional roles, as can be observed in the rapidly changing patterns in governance, commerce, and social interaction. Conversely, technology could lead to the emergence of novel, successful forms of collaboration that deviate from traditional “hierarchical” architectures. Evidence of this can be seen in areas as diverse as highly automated manufacturing plants, the open science movement, collaborative software repositories, user-centered services, and the sharing of economy-based modes of organization. Without a fundamental understanding of the mechanisms, processes, and boundary conditions of collaboration, it is not possible to evaluate or predict which of these possible scenarios are sustainable or even plausible. The Forum “How Collaboration Arises and Why it Fails” (May 8–13, 2022, Location: Frankfurt am Main, Germany) Chairs: Andreas Roepstorff and Paul Verschure Program Advisory Committee: Jenna Bednar, Julia R. Lupp, Bhavani R. Rao , Andreas Roepstorff, Ferdinand von Siemens, and Paul Verschure

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  • fast_forward00:00:00 - All right, so you can wear the headphones and we all look more professional,
  • fast_forward00:00:03 - we feel more professional.
  • fast_forward00:00:05 - This is the Convergent Science Network. We do the flight of the Concorde's robots.
  • fast_forward00:00:10 - Reading researchers in the domain of neuroscience, brain theory and technology
  • fast_forward00:00:15 - are interviewed by Paul Boucher and Tony Preston.
  • fast_forward00:00:19 - No, it's you that's breathing. No, no, no, no. It is. No, no,
  • fast_forward00:00:22 - it's you. No, no, no, no. Honestly, check.
  • fast_forward00:00:27 - Okay, glad we settled that. Wear your headphones. This is Paul Vesure with the
  • fast_forward00:00:31 - Convergent Science Network podcast together with my colleague Tony Prescott,
  • fast_forward00:00:35 - BCBT 2015 in Barcelona. And we're here with Kate Jeffery.
  • fast_forward00:00:40 - And Kate, you were presenting your work, which is actually very exceptional
  • fast_forward00:00:46 - in the sense that you look at how three-dimensional space is represented in the brain.
  • fast_forward00:00:50 - So how did you come to studying three-dimensional space from the perspective of the rodent brain?
  • fast_forward00:00:55 - Are there flying rodents somewhere? There aren't flying rodents,
  • fast_forward00:00:59 - but I had been studying two-dimensional space for a long time,
  • fast_forward00:01:03 - as everybody else had been as well.
  • fast_forward00:01:06 - And I guess we just started to get interested in the question of whether this
  • fast_forward00:01:10 - map is really just a flat map, or whether it's actually got some three-dimensional
  • fast_forward00:01:15 - structure. The world is three-dimensional.
  • fast_forward00:01:18 - And we got into this line of work because I was talking with my friend and colleague,
  • fast_forward00:01:24 - Andre Fenton, who had been thinking along similar lines in New York and he had
  • fast_forward00:01:27 - built this fantastic spiral staircase and the idea had been to see if these
  • fast_forward00:01:34 - place cells would produce place fields on the spiral staircase and whether there
  • fast_forward00:01:37 - would be a vertical kind of structure to the place fields.
  • fast_forward00:01:41 - And he didn't have time to run the experiment so he said, look,
  • fast_forward00:01:44 - I'll bring it over to London and you can have a go with it.
  • fast_forward00:01:46 - So I sent my student Madeline Veriotis onto recording on this thing.
  • fast_forward00:01:50 - It was very, very difficult because the rats go round and round and round and
  • fast_forward00:01:53 - round and it's like running up and down a five-floor building all day long,
  • fast_forward00:01:58 - so they got quite tired, but she managed to get some really nice data.
  • fast_forward00:02:01 - And we found that place fields indeed seemed to extend into the vertical dimension.
  • fast_forward00:02:08 - And then around that time grid cells were discovered, and so it became a natural
  • fast_forward00:02:11 - question, do grid cells also show some vertical structure?
  • fast_forward00:02:16 - So she began recording grid cells on this spiral staircase, case,
  • fast_forward00:02:19 - and another student that I had started recording them on this other piece of
  • fast_forward00:02:24 - apparatus, a climbing wall.
  • fast_forward00:02:26 - And we found these results that were quite surprising and yet consistent with each other,
  • fast_forward00:02:32 - which is that the grid cells which fire in this periodic way in the horizontal
  • fast_forward00:02:36 - plane didn't do that in the vertical dimension on either of those apparatuses.
  • fast_forward00:02:41 - And so then that led us to do some thinking about why that might be and basically
  • fast_forward00:02:46 - the whole research program took off from there. Okay.
  • fast_forward00:02:49 - So you're in this laboratory, which also includes O'Keefe, who won the Nobel
  • fast_forward00:02:56 - Prize for his work on the play cells.
  • fast_forward00:02:59 - So the whole environment dedicated to understanding spatial cognition in the rat.
  • fast_forward00:03:04 - Um so were you i mean if you're looking at the opportunities you have within that playing field.
  • fast_forward00:03:14 - Which in some sense that the structure doesn't give you a
  • fast_forward00:03:17 - lot of different cells to look at because you would have your grid cells you should
  • fast_forward00:03:20 - play cells and you would have heading direction cells okay so
  • fast_forward00:03:23 - um now in
  • fast_forward00:03:26 - in the end if you look at the three-dimensional representation or in
  • fast_forward00:03:29 - the red brain you focus very much on on the grid
  • fast_forward00:03:32 - cells ultimately but but we're not there yet right but because
  • fast_forward00:03:35 - that's not necessarily where you started so how did
  • fast_forward00:03:38 - you work your way through that system and why did you make them the
  • fast_forward00:03:41 - different choices that you did make well it it was partly just chance so we
  • fast_forward00:03:46 - started with place cells because at the time we had placed cells and head direction
  • fast_forward00:03:49 - cells um and jeff talby who had been working very intensively with head direction
  • fast_forward00:03:55 - cells had already started looking at how they they behaved in three dimensions did some really
  • fast_forward00:04:01 - beautiful work, which I didn't fully come to appreciate until we started to
  • fast_forward00:04:04 - do something similar. I realised it's very, very difficult.
  • fast_forward00:04:08 - So play sales are the natural place to start, really.
  • fast_forward00:04:11 - But then grid cells came along, and the exciting thing about grid cells is that
  • fast_forward00:04:14 - they have this metric component to their activity where they are actually encoding distance.
  • fast_forward00:04:21 - So they are plausibly the fabric for this map, if you like, the thing that actually
  • fast_forward00:04:28 - gives it the capacity to do navigational calculations and things like that.
  • fast_forward00:04:33 - So when grid cells came along, it just became a very, very exciting question.
  • fast_forward00:04:36 - Do they measure out distances in three dimensions? And if they do do that, how do they do that?
  • fast_forward00:04:41 - And we know they need a compass to be able to do what they do in two dimensions.
  • fast_forward00:04:45 - So does that mean they need a three-dimensional compass?
  • fast_forward00:04:48 - We know that they form these beautiful hexagonal patterns on a flat surface.
  • fast_forward00:04:51 - Does that mean that they form a three-dimensional lattice pattern?
  • fast_forward00:04:55 - All sorts of questions came along following on from that discovery. So it was very exciting.
  • fast_forward00:05:01 - So you started out in your talk saying that to navigate, you need a map,
  • fast_forward00:05:05 - a compass, a way of measuring distance and a way to self-localize.
  • fast_forward00:05:09 - But then as your talk progressed it
  • fast_forward00:05:12 - seemed that maybe in the rat things aren't quite
  • fast_forward00:05:15 - so clear-cut because like you
  • fast_forward00:05:18 - say the grid cells when people first found them thought this is the metric this
  • fast_forward00:05:23 - is telling me how far i am in space relative to some starting point but then
  • fast_forward00:05:28 - as the evidence came in these grid cells also appear to depend upon contextual
  • fast_forward00:05:34 - cues and you talked about boundaries reason you talked about odors.
  • fast_forward00:05:38 - So, I mean, can you just explain how you think these other conceptual clothes
  • fast_forward00:05:44 - are affecting the grid cells and what impact that has on this.
  • fast_forward00:05:48 - Idea of how we navigate in space? Well, so contextual cues are things that characterize
  • fast_forward00:05:54 - a space but don't have spatial information in and of themselves.
  • fast_forward00:05:58 - So in the rat, we use the manipulations of the color of the environment or the
  • fast_forward00:06:04 - smell of the environment or things like that.
  • fast_forward00:06:06 - For ourselves, we could think of things like the decor in a room or something like that.
  • fast_forward00:06:11 - So that helps you know which room you're in, but doesn't really tell you where you are in the room.
  • fast_forward00:06:18 - My lab had been interested for quite some time in how those contextual cues,
  • fast_forward00:06:22 - those non-spatial cues, modulate the activity of place cells.
  • fast_forward00:06:26 - We had come up with a model that suggested that the place cells are getting
  • fast_forward00:06:30 - spatial information from somewhere that's fairly raw metric information about
  • fast_forward00:06:35 - boundaries and distances and directions.
  • fast_forward00:06:37 - They're getting contextual information through another pathway,
  • fast_forward00:06:41 - and those two pathways interact, act and the contextual cues act to select which
  • fast_forward00:06:47 - of the spatial inputs a given place cell will respond to,
  • fast_forward00:06:50 - so that was the model that we had at the time that grid cells were discovered
  • fast_forward00:06:54 - and then when they were discovered it seemed like they might be the spatial
  • fast_forward00:06:57 - component of this model so these are these things that seem to be spatial but not,
  • fast_forward00:07:02 - much more than that as far as we could tell,
  • fast_forward00:07:04 - so then we sort of became curious well what do they do when we change the context
  • fast_forward00:07:08 - and we actually thought changing the context would have very little effect on
  • fast_forward00:07:11 - grid cells because we thought Their job is just to mark out distances.
  • fast_forward00:07:14 - Why should they care about the colour or the odour of the environment?
  • fast_forward00:07:18 - So it was a little bit surprising when we found that they do actually respond.
  • fast_forward00:07:24 - So now, what we're thinking, trying to put together what we've observed together
  • fast_forward00:07:29 - with what makes adaptive sense, when you think about the evolutionary function of these things,
  • fast_forward00:07:34 - my thinking is that the contextual cues indeed interact with the spatial cues
  • fast_forward00:07:40 - to drive the place cells.
  • fast_forward00:07:41 - Cells the place cells in turn are helping the grid cells know where to fire
  • fast_forward00:07:45 - so we're thinking and it's not our idea it's something it's an idea that many
  • fast_forward00:07:50 - people have contributed to but we're thinking that there's this to and fro interaction
  • fast_forward00:07:53 - between the place cells and the grid cells where the grid cells help the place
  • fast_forward00:07:57 - cells remain oriented in the middle of a big open space,
  • fast_forward00:08:01 - and then the place cells help the grid cells to know which environment they're
  • fast_forward00:08:04 - in using the context XQs and all the rest of it.
  • fast_forward00:08:07 - And that makes sure that the grid cells will fire in the correct place for a given environment.
  • fast_forward00:08:12 - So the two cell types are kind of helping each other out.
  • fast_forward00:08:16 - And that is a little bit how people go about building simultaneous localization
  • fast_forward00:08:22 - and mapping SLAM systems in robots.
  • fast_forward00:08:25 - So I know that SLAM was actually informed by research on rodent navigation.
  • fast_forward00:08:33 - David Reddish actually was pointing this out to us a few weeks ago.
  • fast_forward00:08:37 - To what extent is your research now being influenced by these ideas from modeling
  • fast_forward00:08:43 - and maybe even from robotics? David Reddish,
  • fast_forward00:08:47 - Well, one of the things that's come along recently,
  • fast_forward00:08:50 - which I admit to not knowing very much about, but I'm finding increasingly intriguing,
  • fast_forward00:08:55 - are these deep neural networks that roboticists have started to use in some
  • fast_forward00:09:01 - of their kind of robot models of navigation.
  • fast_forward00:09:04 - And I was always sceptical about neural networks as a general kind of concept
  • fast_forward00:09:10 - because a neural network is a very homogeneous thing to my untrained eye.
  • fast_forward00:09:15 - Whereas we could see in the brain that it's very modular. There's a module for
  • fast_forward00:09:19 - processing compass information, there's a module for processing distance and
  • fast_forward00:09:22 - a module for processing this and that.
  • fast_forward00:09:24 - It just feels to me like the architecture is very much more intricate than you
  • fast_forward00:09:29 - get with a neural network.
  • fast_forward00:09:30 - So for a long time I had felt that neural networks
  • fast_forward00:09:33 - have their uses but they don't really explain how the brain works but it
  • fast_forward00:09:37 - transpires with these deep neural networks that have many many layers that when
  • fast_forward00:09:41 - you when you train them up and train them up and train them up they start to
  • fast_forward00:09:44 - acquire some internal structure actually and when you probe elements of these
  • fast_forward00:09:48 - things you do see things that look like they have subcomponents of the of the
  • fast_forward00:09:52 - cognitive computation so I guess what I'm
  • fast_forward00:09:56 - starting to take back from the robotic field is that maybe you can get something
  • fast_forward00:10:00 - that looks like a modular system out of something that started out fairly homogeneous
  • fast_forward00:10:03 - with some simple rules and a lot of parallel processing capability.
  • fast_forward00:10:07 - And I think that's kind of an intriguing idea.
  • fast_forward00:10:12 - I'm not sure how it would inform our experiments, but it certainly informed
  • fast_forward00:10:15 - how I think the brain might come to do what it does.
  • fast_forward00:10:19 - Right, so maybe it would inform experiments on the development of this system?
  • fast_forward00:10:25 - I don't know if there's a big literature on that yet, is there?
  • fast_forward00:10:27 - A literature is starting to develop. So recently, people from UCL and also from
  • fast_forward00:10:36 - Trondheim in parallel have been looking at development of the glugurud cell
  • fast_forward00:10:40 - and place cell in the head direction. system.
  • fast_forward00:10:43 - And these cells come on stream very early.
  • fast_forward00:10:47 - Interestingly, the grid cells seem to come on latest of all.
  • fast_forward00:10:50 - And the first thing to come along is the head direction cells.
  • fast_forward00:10:53 - Which makes a certain amount of sense, actually, because you can imagine that
  • fast_forward00:10:57 - compass direction is primary.
  • fast_forward00:10:59 - But we were starting to think that place cells emerged from the activity of grid cells.
  • fast_forward00:11:05 - And then when these developmental findings came along, we started to think, actually maybe
  • fast_forward00:11:08 - it's the other way around and maybe um maybe it's
  • fast_forward00:11:11 - far more interactive than we had realized um i
  • fast_forward00:11:15 - think the development development story
  • fast_forward00:11:19 - assumes a certain amount of hardwired modularity so i don't think it's completely
  • fast_forward00:11:24 - analogous to the deep deep learning networks quite yet but i think we will probably
  • fast_forward00:11:29 - be moving towards some kind of hybrid system where the deep learning networks
  • fast_forward00:11:32 - have a modularity to start with and then they take off and you probably know
  • fast_forward00:11:36 - far more about this food than I do.
  • fast_forward00:11:37 - Well, I think, yeah, we've had some interesting discussions about deep learning.
  • fast_forward00:11:42 - We've managed to avoid this as a topic for this summer school until now,
  • fast_forward00:11:45 - so I'm pleased it's come up.
  • fast_forward00:11:47 - I know Paul has some strong views on deep learning.
  • fast_forward00:11:51 - I thought I detected some raised eyebrows there, so it would be interesting
  • fast_forward00:11:53 - to hear the pros and cons, actually.
  • fast_forward00:11:56 - I think they're deeply overrated and overhyped in computational neuroscience,
  • fast_forward00:12:02 - these ideas years of, let's say, uniform computational principles giving rise
  • fast_forward00:12:07 - to cortical-like filter hierarchies are around since the late 80s,
  • fast_forward00:12:12 - where people have been calling them objective functions.
  • fast_forward00:12:15 - So we can think about building classifier hierarchies using.
  • fast_forward00:12:19 - Let's say, the reduction of redundancy in the course of sparse coding,
  • fast_forward00:12:25 - which Olshausen and Fields proposed first.
  • fast_forward00:12:27 - Other people like Peter Koenig, myself, have been emphasizing issues like smoothness,
  • fast_forward00:12:34 - like you can acquire a whole cortical-like hierarchy from V1 to hippocampus
  • fast_forward00:12:40 - by hippocampal-like place cells by just optimizing the slowly varying features
  • fast_forward00:12:46 - in your input and decorrelating them within layers.
  • fast_forward00:12:48 - So this stuff we know for at least 20 years.
  • fast_forward00:12:51 - And deep learning is a variation on that theme.
  • fast_forward00:12:54 - It's just done by people who tell a somewhat different story and who are a little
  • fast_forward00:13:02 - bit less informed about the neuroscience, so they have a tendency to overgeneralize.
  • fast_forward00:13:06 - Because the point is, what does it mean to explain the brain?
  • fast_forward00:13:10 - You can take inspiration from whatever you want. You can take inspiration from
  • fast_forward00:13:13 - this cup of water. You can take your inspiration from a deep learning network.
  • fast_forward00:13:17 - But explaining the brain also means that you have to account for the constraints
  • fast_forward00:13:20 - that you find in that system.
  • fast_forward00:13:21 - And if you look at the grid cell system as an example, just the anatomical structure
  • fast_forward00:13:27 - has very specific properties that you just don't get for free.
  • fast_forward00:13:32 - They have a very interesting dorsal ventral organization.
  • fast_forward00:13:35 - They are organized also in sort
  • fast_forward00:13:38 - of in the laminar sense in a very curious kind of way
  • fast_forward00:13:41 - these are the kinds of things you must explain right.
  • fast_forward00:13:44 - And that you can have a model that learns these grid-like properties
  • fast_forward00:13:49 - in some way okay but that's that's not really explaining
  • fast_forward00:13:51 - anything that tells you okay i can get a grid-like
  • fast_forward00:13:55 - response in something but i think you have to
  • fast_forward00:13:57 - also show that that you do it with networks that are
  • fast_forward00:14:00 - informed and constrained by the known physiology and anatomy
  • fast_forward00:14:03 - to me and that's usually not done for instance there are
  • fast_forward00:14:06 - a number of so-called attractor models of grid cells where people
  • fast_forward00:14:09 - show i can get grid-like responses if i
  • fast_forward00:14:12 - have an attractor which basically means i have the liberty
  • fast_forward00:14:14 - in the world to wire up a bunch of cells and now i have a
  • fast_forward00:14:17 - grid-like response but that's not the grid-like response you
  • fast_forward00:14:21 - have a grid-like response if you can show if you drive your map
  • fast_forward00:14:24 - with the velocity vector that is continuous and relates
  • fast_forward00:14:26 - to the movement of your agent that then you have a repetitive pattern
  • fast_forward00:14:29 - of firing that follows the a good cell structure and that's
  • fast_forward00:14:32 - a very different kind of of challenge than replicating
  • fast_forward00:14:36 - a picture you took from a journal of neuroscience or from
  • fast_forward00:14:39 - nature neuroscience in med lab it's not building a
  • fast_forward00:14:42 - model yeah right so in this sense i'm we have done it
  • fast_forward00:14:44 - we've seen it i don't think we are explaining much with it
  • fast_forward00:14:47 - yeah no i agree that i think
  • fast_forward00:14:50 - these one-size-fits-all models don't work because you know i i just think the
  • fast_forward00:14:55 - brain is far too complex but i think you can learn you can get insights from
  • fast_forward00:14:59 - some of these models that make you think about the system in a way that maybe
  • fast_forward00:15:04 - you weren't attending enough to certain kinds of things.
  • fast_forward00:15:09 - For example, you may have been postulating more complexity in the assumed wiring
  • fast_forward00:15:14 - than is necessary to get the complex wiring.
  • fast_forward00:15:18 - Kind of behaviors that you see like cell types with extremely
  • fast_forward00:15:21 - specific properties for example and um and
  • fast_forward00:15:24 - and so i think it just makes you think about things in a different
  • fast_forward00:15:27 - way as a physiologist you for example i've started to think maybe maybe our
  • fast_forward00:15:33 - parcellation of cells into these categorical um you know categories like like
  • fast_forward00:15:39 - grid cells and play cells maybe we're being constrained by our predetermined modular model.
  • fast_forward00:15:45 - And in fact, if we really approached it from a slightly different perspective,
  • fast_forward00:15:49 - we'd see that there's a continuum of response types in this area.
  • fast_forward00:15:53 - And when you look in entorhinal cortex, indeed, it's true there are grid cells
  • fast_forward00:15:56 - and there are head direction cells and there are border cells,
  • fast_forward00:15:58 - but there's everything in between as well.
  • fast_forward00:16:00 - And so we may have been over-egging the modular side of things.
  • fast_forward00:16:06 - Yeah, I think the point is that the interaction goes both ways.
  • fast_forward00:16:09 - So the biologists learn from the people who are developing models and also AI
  • fast_forward00:16:19 - systems about the power of learning.
  • fast_forward00:16:21 - But also self-organization to restructure networks.
  • fast_forward00:16:27 - Networks um and then actually there's
  • fast_forward00:16:30 - a lot coming back the other way so that the um without
  • fast_forward00:16:33 - necessarily acknowledging where it came from people are
  • fast_forward00:16:36 - using ideas from the brain to develop these these new
  • fast_forward00:16:39 - intelligent self-organizing systems so um i
  • fast_forward00:16:43 - think we can all agree that that when
  • fast_forward00:16:46 - we look at deep learning systems as they are now they're not very
  • fast_forward00:16:49 - brain-like but what i think is has
  • fast_forward00:16:52 - been shown in the last decade say is
  • fast_forward00:16:55 - that with sufficiently powerful computers and the
  • fast_forward00:16:58 - brain is a very powerful computer some simple principles
  • fast_forward00:17:01 - can give you really powerful performance and
  • fast_forward00:17:04 - that's now coming through in the world of technology so
  • fast_forward00:17:07 - i'm just saying tony that we already knew that
  • fast_forward00:17:10 - well you know i'll start at old house in the
  • fast_forward00:17:13 - fields as a huge tradition look this
  • fast_forward00:17:16 - is the the whole problem right we're always riding this wave of amnesia like oh
  • fast_forward00:17:20 - i rediscovered something people i wrote up five years ago but
  • fast_forward00:17:23 - but the time constant of collective memory in the field is just so short
  • fast_forward00:17:26 - people all forgot about it but it's not just that i think that's deeply annoying
  • fast_forward00:17:29 - people dismissed it because they said well these things are limited in terms
  • fast_forward00:17:33 - of what they can do no they're not giving us the solutions we want let's go
  • fast_forward00:17:37 - and look elsewhere and then you see 20 years later the computers just get more
  • fast_forward00:17:41 - powerful and these things are delivering some of the things that Well,
  • fast_forward00:17:46 - there's a dirty trick, though, that people don't talk about.
  • fast_forward00:17:48 - The dirty trick is it's all supervised.
  • fast_forward00:17:51 - It's all supervised learning. The brain doesn't have this luxury.
  • fast_forward00:17:53 - There is no supervisor in the brain telling, oh, wait, no, no,
  • fast_forward00:17:56 - this grid cell response is actually wrong. No.
  • fast_forward00:18:00 - So, sure, great if you have the superpower of a supervisor who knows everything,
  • fast_forward00:18:06 - like God is training you to be a world champion.
  • fast_forward00:18:09 - Fabulous. But that's just not the luxury that the red brain has.
  • fast_forward00:18:13 - So, this is my whole point about constraints. So, we must satisfy the pertinent
  • fast_forward00:18:17 - constraints. And that's the discussion we have to have between the theatricians
  • fast_forward00:18:20 - and the biologists is not like, oh, let me overwhelm you with my mathematosis.
  • fast_forward00:18:24 - No, it's about what are the specific constraints that I'm satisfying that you
  • fast_forward00:18:29 - have identified as experimentalist and what are the testable predictions I'm giving back to you?
  • fast_forward00:18:33 - This is a dialogue that we need to establish. And that's not happening.
  • fast_forward00:18:36 - People make a lot of noise about how fantastic this all is.
  • fast_forward00:18:40 - And they can deliver even more cat videos to your doorstep with deep learning.
  • fast_forward00:18:45 - And it's deeply uninteresting. I think that's a good point to go back into your
  • fast_forward00:18:49 - talk because actually you were identifying some constraints because this whole
  • fast_forward00:18:53 - question around how does the rat brain actually generate these different elements
  • fast_forward00:19:00 - of a system that can map space.
  • fast_forward00:19:02 - And there's this interesting question as to whether, for instance,
  • fast_forward00:19:06 - they really have a full 3D map, even if they live in a 3D world.
  • fast_forward00:19:09 - And you began by talking about the problem of just encoding head direction when
  • fast_forward00:19:14 - you're moving on something that's not just a flat plane.
  • fast_forward00:19:17 - And there I think you were also arguing that this isn't a system that can represent
  • fast_forward00:19:22 - orientation sort of in a universal way.
  • fast_forward00:19:26 - It's very much grounded in the ecology of the rat and the kind of life that it has.
  • fast_forward00:19:31 - Yes, well we're still collecting data on this, it's early days, but certainly.
  • fast_forward00:19:36 - What we're seeing in the grid cells and the head direction cells are sort of
  • fast_forward00:19:39 - hints that the system is preferring to just make a flat map of local space.
  • fast_forward00:19:45 - And that makes a lot of sense from an evolutionary perspective,
  • fast_forward00:19:49 - because supporting a brain is enormously expensive in terms of energy.
  • fast_forward00:19:55 - And to make a 3D model of the world, to make a full 3D model of the world,
  • fast_forward00:19:59 - you need vastly more neural resources than to just make a flat model of the world.
  • fast_forward00:20:04 - Of course, a flat model has a lot of limitations, and I did talk about some
  • fast_forward00:20:08 - of those. You can only get so far with a flat map when you're on a hilly surface.
  • fast_forward00:20:12 - It would be not very good for planning optimal routes across hilly terrain, for example.
  • fast_forward00:20:18 - But if you take a flat map and then inject a little bit of three-dimensional
  • fast_forward00:20:22 - information into it, then you might have something that works pretty well for
  • fast_forward00:20:27 - all practical purposes.
  • fast_forward00:20:28 - And that's really what the problem that RAT has to solve is how to practically
  • fast_forward00:20:32 - get by in the world with the minimal expenditure of energy.
  • fast_forward00:20:35 - Yeah, I think you distinguish different ways in which you could think about three dimensions.
  • fast_forward00:20:41 - You could say, well, I'm interested in surface structure, so if it's undulations,
  • fast_forward00:20:45 - I care about whether I'm going up and down.
  • fast_forward00:20:47 - And then you talked about if I'm in the ocean or in the air,
  • fast_forward00:20:51 - I'm interested maybe where I'm in a 3D volume,
  • fast_forward00:20:54 - which would then, as you say, require more space to encode all of the information about that volume.
  • fast_forward00:21:02 - And then you talked about some mixture models. And I think where you're going
  • fast_forward00:21:06 - in your work is towards more of a mixture model. Is that right?
  • fast_forward00:21:09 - Yes, I think so. So we call it a multi-planar model.
  • fast_forward00:21:12 - I don't know if that's the best word for it, but the intuition is that the map
  • fast_forward00:21:17 - of three-dimensional space, at least, I should qualify it and say that we're
  • fast_forward00:21:21 - studying surface-dwelling animals like rats and mice and probably humans.
  • fast_forward00:21:26 - So the map of a complex three-dimensionally, topologically undulating world is a lot of,
  • fast_forward00:21:35 - we think of it as like mosaic fragments, each local one of which is two-dimensional,
  • fast_forward00:21:40 - but which are related to each other with some three-dimensional structure.
  • fast_forward00:21:45 - And we are in the process of collecting data about how that might work and for
  • fast_forward00:21:49 - example how the head direction system could cope with a system like that and
  • fast_forward00:21:54 - how it would avoid accumulating errors and so on.
  • fast_forward00:21:57 - The acid test is really going to be what happens when we get rats to move through a volumetric space.
  • fast_forward00:22:02 - And we've started these experiments in my laboratory at the moment where we're
  • fast_forward00:22:06 - training rats to move through a lattice that's conceptually like moving through
  • fast_forward00:22:10 - the branches of trees in a forest or something like that.
  • fast_forward00:22:13 - So where the rat really can move in all three dimensions. and then we'll have
  • fast_forward00:22:18 - to see what the grid cells particularly do in that situation right so but then um,
  • fast_forward00:22:24 - If we now look at this situation from also this perspective of modularity,
  • fast_forward00:22:28 - in some sense you can also say that head direction cells and grid cells have also great redundancy.
  • fast_forward00:22:33 - Because in some sense, the grid cell gives you a spatial representation of the
  • fast_forward00:22:37 - temporal signal you get from your head direction cells.
  • fast_forward00:22:39 - It's the velocity vector that is driving the grid cells, right?
  • fast_forward00:22:43 - So there's really redundancy there.
  • fast_forward00:22:45 - So would you find cells that are, let's say, partially head direction cell and partially grid cell?
  • fast_forward00:22:49 - Would you have mixtures? Well, it's certainly the case that there are so-called
  • fast_forward00:22:54 - conjunctive cells, like grid cells that only produce their grids when the rat's
  • fast_forward00:22:59 - facing in a particular direction.
  • fast_forward00:23:02 - So I don't know if that was the kind of cell you meant, but they certainly have been well reported.
  • fast_forward00:23:09 - But the other interesting thing is that if you deprive ordinary multidirectional
  • fast_forward00:23:15 - grid cells of their place cell input, then what's left seems to be a head direction signal.
  • fast_forward00:23:22 - So this is work from the MOSA lab where they inactivated the hippocampus.
  • fast_forward00:23:27 - And so it looks like the head direction signal may be a sort of a fundamental
  • fast_forward00:23:30 - input to grid cells, and that helps the grids to become oriented.
  • fast_forward00:23:34 - But I'm not sure that you could function only with well-oriented grid cells
  • fast_forward00:23:39 - in the absence of head direction cells, because of course there's the six-fold
  • fast_forward00:23:43 - redundancy or replication ambiguity, I suppose is the word.
  • fast_forward00:23:48 - You wouldn't know which of the six directions you were moving in necessarily
  • fast_forward00:23:51 - if you didn't have a proper head direction system.
  • fast_forward00:23:54 - But now your reference model for the head direction cells to now jump to three-dimensional
  • fast_forward00:23:58 - space is the ring attractor, right? So basically you have a bunch of neurons
  • fast_forward00:24:04 - that are coupled together in a ring.
  • fast_forward00:24:06 - Every neuron is an encoding, a heading direction, and activity is just moving
  • fast_forward00:24:10 - through this ring, exploiting the fact that heading directions also continuously change.
  • fast_forward00:24:15 - So and then the question is, okay, how could I exploit such a ring attractor
  • fast_forward00:24:19 - that works great in a planar space for a three-dimensional space?
  • fast_forward00:24:23 - So your idea then is that the ring becomes a sphere, so I'm covering now also
  • fast_forward00:24:28 - all elevation values, values?
  • fast_forward00:24:30 - Or do you have another model in mind? Well, if the brain tries to form a fully
  • fast_forward00:24:38 - volumetric 3D map, then I think you would want something,
  • fast_forward00:24:41 - by extension from what we know in two dimensions, I think you would want a fully
  • fast_forward00:24:45 - three-dimensional compass, which is to say a spherical attractor.
  • fast_forward00:24:49 - Which also, unlike in two dimensions, also has to take into account the orientation
  • fast_forward00:24:55 - of the body of the animal, because of course in three dimensions it can roll
  • fast_forward00:25:00 - around the long axis of its body.
  • fast_forward00:25:04 - So, theoretically speaking, I think that's what one would need.
  • fast_forward00:25:07 - Now, we've not tried to model a spherical attractor,
  • fast_forward00:25:11 - but it seems to me that it would be vastly more complicated than a ring attractor
  • fast_forward00:25:17 - because of the problems that I talked about with things like the non-commutativity
  • fast_forward00:25:20 - of rotations and all of these things.
  • fast_forward00:25:23 - The problem of extracting azimuth from your rotations when the animal is not
  • fast_forward00:25:29 - actually in a horizontal plane and all of these things that make it very complicated.
  • fast_forward00:25:32 - So if we're thinking that this is a system that's trying to be economical,
  • fast_forward00:25:36 - a more economical solution would be to just stick with your ring attractor
  • fast_forward00:25:39 - and just to have it work on whatever plane you happen to be
  • fast_forward00:25:41 - on regardless of its orientation and then figure
  • fast_forward00:25:45 - out a way to map that signal back onto the horizontal and i i suspect that's
  • fast_forward00:25:51 - what's happening with the so but an alternative might be that i just take my
  • fast_forward00:25:56 - cardinal axis of movement and have single rings for those and maybe i take two
  • fast_forward00:26:00 - populations that are tuned to this cardinal axis of movement and I have a little offset between them.
  • fast_forward00:26:04 - And then via interpolation, I could actually extract all my possible heading
  • fast_forward00:26:08 - directions in three dimensions.
  • fast_forward00:26:11 - So why did you not consider this more, let's say, simplified version?
  • fast_forward00:26:16 - Yeah, it's a possibility too. You mean like to have three orthogonal ring attractors?
  • fast_forward00:26:20 - Yeah, exactly. Yeah, that would be a possibility.
  • fast_forward00:26:21 - And Cynthia Moss has shown that
  • fast_forward00:26:23 - that would account quite well to make a three-dimensional compass signal.
  • fast_forward00:26:29 - I think that's entirely possible. It doesn't fully solve the problem because
  • fast_forward00:26:33 - if you're on a plane that's not orthogonal to any of those three ring attractors,
  • fast_forward00:26:42 - then you need to kind of map the yaw rotation that you're making onto one of those.
  • fast_forward00:26:45 - So you've still got a transformation that's modulated by the angle between the
  • fast_forward00:26:49 - surface that you're on and the three now ring attractors.
  • fast_forward00:26:53 - So it's still not an entirely simple problem.
  • fast_forward00:26:55 - On the other hand, the brain is quite good at solving non-simple problems.
  • fast_forward00:26:59 - So I wouldn't rule it out at all.
  • fast_forward00:27:01 - But now the intuition would be that we, so let's say, whether it's just a set of rings or a sphere,
  • fast_forward00:27:07 - let's say we have now a 3D heading direction system, and then the intuition
  • fast_forward00:27:11 - would be, okay, if these guys now drive my grid cells, I would have 3D grid
  • fast_forward00:27:14 - cells, right? This is roughly the idea.
  • fast_forward00:27:18 - But this is not exactly what you found. Right.
  • fast_forward00:27:22 - Brad, you didn't literally find grid cells that are tuned in 3D.
  • fast_forward00:27:27 - It was a bit more complicated than that. It's a bit more complicated than that,
  • fast_forward00:27:31 - but we haven't done the acid test.
  • fast_forward00:27:33 - So that's the experiment I mentioned a moment ago where the animal really can
  • fast_forward00:27:36 - move freely in all three dimensions.
  • fast_forward00:27:39 - So the experiments that we've done with grid cells in three dimensions have
  • fast_forward00:27:42 - been with the animal on a surface that extends into the vertical dimension.
  • fast_forward00:27:46 - Mentioned. And we don't know how that surface is constraining the signal and
  • fast_forward00:27:52 - how it's producing a signal that might not be there if the rat was really able to move freely.
  • fast_forward00:27:59 - So what we see is on a vertical surface, the pattern depends on the orientation of the animal's body.
  • fast_forward00:28:05 - So if the animal is oriented horizontally, as it is on the pegboard where it's
  • fast_forward00:28:10 - standing on pegs that stick out of a wall.
  • fast_forward00:28:13 - So it's oriented horizontally, but it's moving up and down as well as in horizontal dimension.
  • fast_forward00:28:20 - There we see that the grid cells don't seem to map out distances in the vertical dimension.
  • fast_forward00:28:25 - So they're not, in that case, mapping out distances in the direction orthogonal
  • fast_forward00:28:29 - to the plane of the body of the animal.
  • fast_forward00:28:33 - If, on the other hand, the plane of the body of the animal is parallel to the
  • fast_forward00:28:36 - wall, so the rat's actually walking around on the wall and climbing around on chicken wire.
  • fast_forward00:28:42 - Now we see something that looks more like a grid. So it looks like there's some
  • fast_forward00:28:46 - attempt by the system to perform odometry.
  • fast_forward00:28:49 - So the relationship of the animal to the surface is really important,
  • fast_forward00:28:54 - at least in these particular environments.
  • fast_forward00:28:56 - Now whether that generalizes to a fully volumetric environment, we don't know.
  • fast_forward00:29:01 - There was something interesting about the pack board result.
  • fast_forward00:29:05 - So you have this wall with these little sticks sticking out,
  • fast_forward00:29:08 - and the animal can make horizontal trajectories essentially across this wall.
  • fast_forward00:29:14 - Essentially, what you would sort of see there is sort of a strip-like organization
  • fast_forward00:29:18 - of the grid cell response, right?
  • fast_forward00:29:21 - So does it imply that in that case,
  • fast_forward00:29:25 - the medial entorhinal cortex is cutting through the three-dimensional plane
  • fast_forward00:29:32 - a bunch of horizontal planes and saying, okay, actually, this is like a number
  • fast_forward00:29:36 - of alleys that I'm running through,
  • fast_forward00:29:38 - and I just ignore then the third-dimension part of it.
  • fast_forward00:29:42 - I just map out every local horizontal stretch.
  • fast_forward00:29:45 - Yes, I think that's one interpretation. That seems to be the likeliest interpretation.
  • fast_forward00:29:52 - As to what it is about the dimension that the grid cell is not mapping out,
  • fast_forward00:29:57 - so in the vertical dimension,
  • fast_forward00:29:59 - I don't know, because we haven't done all the various control experiments,
  • fast_forward00:30:03 - I don't know whether the system just doesn't like to do odometry that's not
  • fast_forward00:30:08 - in the direction that the rat's running, which is a possibility,
  • fast_forward00:30:10 - or if it's something specific to the direction that's orthogonal to the plane of the animal.
  • fast_forward00:30:16 - So there are various experiments we need to do to distinguish between those possibilities.
  • fast_forward00:30:20 - It may turn out the grid cells, they really only are interested in counting
  • fast_forward00:30:24 - footsteps in the direction that the animal's running or something quite simple.
  • fast_forward00:30:28 - Modulated, of course, by a running direction.
  • fast_forward00:30:30 - But if the rat were to run sideways, we might also see that grid cell odometry fails.
  • fast_forward00:30:35 - So we haven't tried that yet, nor backwards.
  • fast_forward00:30:38 - I think going back to your suggestion that the grid cells are maybe being driven
  • fast_forward00:30:44 - by the head direction cells,
  • fast_forward00:30:46 - these results maybe make sense in the light of the study that you told us about
  • fast_forward00:30:52 - where a rat is climbing, I think, on chicken wire around a sort of square pillar.
  • fast_forward00:30:58 - And you're looking at the head direction cells when the rat is on either side
  • fast_forward00:31:04 - of the pillar and how those changes it moves around the pillar. And you are saying.
  • fast_forward00:31:10 - That it wasn't changing in a way consistent with having a full 3D compass,
  • fast_forward00:31:19 - and it wasn't changing in a way consistent with having an entirely local compass.
  • fast_forward00:31:23 - It was something that you called, I think, it was either locally global or globally local.
  • fast_forward00:31:29 - Can you explain what you mean by that? Well, so what we found,
  • fast_forward00:31:33 - which is very similar to results from Jeff Tauby a few years ago, show.
  • fast_forward00:31:39 - But what we've done is show that this is an active modulation process rather than a passive one.
  • fast_forward00:31:45 - So what Taobi's group showed is that if a rat walks from a horizontal surface
  • fast_forward00:31:50 - to a vertical surface, then the head direction cells essentially remain unchanged.
  • fast_forward00:31:56 - So as the animal walks towards the wall, the head direction cell that's active
  • fast_forward00:32:00 - while it's on the floor will continue to be active as the rat walks up onto
  • fast_forward00:32:04 - the wall and is now facing upwards.
  • fast_forward00:32:06 - And then when the rat does yaw rotations on the wall, then the activity moves
  • fast_forward00:32:10 - around the ring of head direction cells in the usual way.
  • fast_forward00:32:14 - So what we have done is take that experiment a step further and shown that when
  • fast_forward00:32:19 - the animal moves from one vertical surface to another differently oriented vertical surface,
  • fast_forward00:32:24 - then the head direction cells actively rotate their signal by 90 degrees as
  • fast_forward00:32:30 - the rat goes around a 90-degree corner.
  • fast_forward00:32:34 - So that the...
  • fast_forward00:32:38 - The representation is still essentially related to the representation that would
  • fast_forward00:32:44 - be on the horizontal surface, but it's been updated by a movement that wasn't a yaw rotation.
  • fast_forward00:32:50 - So in other words, non-yaw rotations around the vertical axis can update the
  • fast_forward00:32:54 - head direction signal when the rat's not on a horizontal surface.
  • fast_forward00:32:57 - Surface and the the consequence of that
  • fast_forward00:33:00 - is that when the rat goes back down
  • fast_forward00:33:02 - onto a horizontal surface then the signal has been appropriately
  • fast_forward00:33:05 - updated such that it's consistent and still pointing
  • fast_forward00:33:09 - the correct way so so what
  • fast_forward00:33:12 - we have is a very simple rule basically for updating the head
  • fast_forward00:33:14 - direction signal as the rat goes around vertical corners so what
  • fast_forward00:33:18 - the rat really cares about is uh knowing
  • fast_forward00:33:22 - where it is in the horizontal plane is that right
  • fast_forward00:33:25 - i i would say that's a fair interpretation that's certainly
  • fast_forward00:33:28 - our working hypothesis and that's the
  • fast_forward00:33:30 - main thing if that then is the signal driving the grid cells then does
  • fast_forward00:33:35 - that perhaps explain some of the grid cell results because now the head
  • fast_forward00:33:37 - direction cells don't care so much about where you
  • fast_forward00:33:40 - are vertically but they care a lot about where you are horizontally so inevitably
  • fast_forward00:33:44 - the grid cells are going to be coding much more strongly for the horizontal
  • fast_forward00:33:49 - uh dimensions well so the the head direction cells I'm not sure we could say
  • fast_forward00:33:55 - that they don't care about the vertical encoding because,
  • fast_forward00:33:57 - in fact, the specificity of the signal on the vertical wall is just as good
  • fast_forward00:34:01 - as it is on the horizontal.
  • fast_forward00:34:05 - Maybe it's not vertical versus horizontal, but it's something about the surface
  • fast_forward00:34:09 - that you're on, but then how that surface is relative to the true horizontal,
  • fast_forward00:34:14 - which you know through gravity.
  • fast_forward00:34:16 - So those are the things that the head cells care about, is that right?
  • fast_forward00:34:19 - Well, yes. Yes, I think that ultimately the consistency that the system is trying
  • fast_forward00:34:23 - to maintain is consistency in how they encode azimuth.
  • fast_forward00:34:28 - So in other words, horizontal direction, compass direction, essentially.
  • fast_forward00:34:31 - So I think that these rules about updating the signal for rotations around the
  • fast_forward00:34:38 - vertical axis, I think the function of those rules is to maintain horizontal consistency.
  • fast_forward00:34:44 - Now how that maps to what the grid cells are doing, it's not quite so clear,
  • fast_forward00:34:48 - because the head direction signal is very much the same on the vertical wall
  • fast_forward00:34:53 - as it is on the horizontal floor.
  • fast_forward00:34:55 - But the grid cell signal seems to be quite different. So the scale is expanded.
  • fast_forward00:34:59 - The space between fields is relatively much larger than it should be.
  • fast_forward00:35:05 - And something has changed about the oscillatory activity, the theta rhythm and so on.
  • fast_forward00:35:12 - Something is different about how the grid cells are computing distances on the
  • fast_forward00:35:15 - wall. and yet the head direction cells are just doing what they,
  • fast_forward00:35:19 - should do. So there's a slight dissociation there, which we haven't yet understood.
  • fast_forward00:35:22 - But isn't that Tony's point?
  • fast_forward00:35:23 - Because I think the point you're making is that if I'm on this vertical wall,
  • fast_forward00:35:27 - I'm still mapping my head direction cell back to a horizontal plane.
  • fast_forward00:35:32 - So now I get also sort of rounding errors and I get imprecisions in that mapping
  • fast_forward00:35:37 - because my head direction cell is still believing we're moving around on this
  • fast_forward00:35:41 - horizontal plane, but actually it's a vertical plane.
  • fast_forward00:35:44 - So that means if this is now the key driving input of my grid cells,
  • fast_forward00:35:48 - this also will get distorted.
  • fast_forward00:35:50 - And that might lead to sort of a collapse or a remapping of the grid cell response.
  • fast_forward00:35:57 - I think this is what you had in mind, Tony, roughly.
  • fast_forward00:36:01 - That wasn't quite my idea, but my thought was that if you had a perfect 3D compass,
  • fast_forward00:36:06 - the grid cells might automatically develop a nice volumetric mapping.
  • fast_forward00:36:10 - But I don't know how we would test that. Okay, it's the other extreme then, okay.
  • fast_forward00:36:15 - Because for instance, Kate, you showed this really beautiful experiment where
  • fast_forward00:36:19 - you had these animals crawling around this cube on the chicken wire.
  • fast_forward00:36:24 - And then what you showed is that as the animal turns the corner in these two
  • fast_forward00:36:28 - vertical planes, goes from one vertical plane to the other vertical plane,
  • fast_forward00:36:31 - there's a very rapid shift of the heading direction response with 90 degrees.
  • fast_forward00:36:35 - So you would expect that if you then look in that condition to the grid cells,
  • fast_forward00:36:39 - that there should be some massive change in the response of the grid cells.
  • fast_forward00:36:41 - Well, we might predict that all other things being equal, that the grid pattern on the.
  • fast_forward00:36:51 - The two vertical walls would be 90-degree rotations of each other.
  • fast_forward00:36:56 - But there are all sorts of qualifications to that. One is that,
  • fast_forward00:37:00 - as I've mentioned, the pattern of the grid cells on the vertical wall is so
  • fast_forward00:37:05 - different that it's not even clear that it's a hexagonal close-packed array.
  • fast_forward00:37:09 - So we don't even know that we could determine what the orientation was of the
  • fast_forward00:37:14 - grids. The other thing is that we've shown that the grid cells are somewhat
  • fast_forward00:37:19 - sensitive to context information.
  • fast_forward00:37:21 - And of course, the east wall and the south wall could, to the system,
  • fast_forward00:37:26 - seem like different contexts.
  • fast_forward00:37:27 - So maybe the grid cells would just do something entirely different.
  • fast_forward00:37:31 - So it's a little difficult to predict what we would see. And I'm not sure how
  • fast_forward00:37:36 - easy it would be to interpret what we saw.
  • fast_forward00:37:39 - So right now, we're really analyzing this three-dimensional representation of space.
  • fast_forward00:37:44 - Or the representation of three-dimensional space from the heading direction system perspective.
  • fast_forward00:37:51 - So the heading direction response is, again, very much predicated on what your
  • fast_forward00:37:55 - vestibular system will tell you.
  • fast_forward00:37:56 - So it's maybe this inability to really map out three-dimensional space accurately
  • fast_forward00:38:01 - in the rodent dependent on just getting signals that are less reliable or more
  • fast_forward00:38:07 - noisy or less precise in the vertical plane as opposed to the horizontal plane.
  • fast_forward00:38:11 - So it's just a matter of the sensory front end, the sensory apparatus,
  • fast_forward00:38:15 - not providing you with the information to actually have an accurate head direction
  • fast_forward00:38:20 - response in the third dimension.
  • fast_forward00:38:22 - Well, the vestibular system is pretty good at providing information.
  • fast_forward00:38:27 - So, you know, it's sensitive to angular and linear information in the various different directions.
  • fast_forward00:38:34 - But the hypothesis that we're toying with at the moment is that the vestibular
  • fast_forward00:38:43 - signals that are feeding into the grid cell system that normally work on the horizontal plane,
  • fast_forward00:38:49 - they comprise all of the semicircular canal information,
  • fast_forward00:38:52 - so all of the rotational information,
  • fast_forward00:38:55 - together with linear information from the otolith organ.
  • fast_forward00:38:59 - So our kind of working hypothesis is that on the vertical surface,
  • fast_forward00:39:02 - now the otolith organ, which is sensitive to acceleration in the horizontal
  • fast_forward00:39:07 - plane and normally has the gravity vector orthogonal to that,
  • fast_forward00:39:11 - is now in a different state of alignment and that perhaps the system copes with that.
  • fast_forward00:39:18 - And rather than developing a whole new way of processing the signal,
  • fast_forward00:39:23 - just says, let's just do without the otolith signal.
  • fast_forward00:39:25 - So we'll just work with the semi-circular canals and let's forget the whole
  • fast_forward00:39:29 - linear acceleration thing.
  • fast_forward00:39:31 - So that may be why the grids are expanded on the wall because they're missing
  • fast_forward00:39:35 - one of their vestibular inputs. Right, that would give quite a bias,
  • fast_forward00:39:37 - right, because if we now go to these annoying bats that show actually a three-dimensional
  • fast_forward00:39:42 - representation in their place cell system and they're.
  • fast_forward00:39:47 - Do they have an oscillate type canal also running in the orthogonal axis, in the vertical axis?
  • fast_forward00:39:55 - Is that what helps them to develop a three-dimensional representation?
  • fast_forward00:39:58 - I think, as far as I know, the vestibular system is pretty similar. Okay.
  • fast_forward00:40:04 - And we don't fully know the details about the three-dimensional nature of their representation.
  • fast_forward00:40:09 - So Nakamulanovsky and his group have done some really beautiful work showing
  • fast_forward00:40:14 - that place cells seem to form place fields that pack of volume,
  • fast_forward00:40:18 - as you would predict for a three-dimensional map.
  • fast_forward00:40:21 - The head direction cells are sensitive to all three of the directions, but not equally.
  • fast_forward00:40:28 - So there are many more azimuth-sensitive cells than there are cells sensitive
  • fast_forward00:40:33 - to pitch, and there are very few cells sensitive to roll.
  • fast_forward00:40:37 - There are a small handful that are sensitive to combinations of all three of
  • fast_forward00:40:42 - those angles, so they are true 3D compass cells but there are very few of them.
  • fast_forward00:40:48 - So I don't think that even the bat which moves a lot through three-dimensional
  • fast_forward00:40:52 - space really has a true volumetric compass that works evenly in all three of the dimensions.
  • fast_forward00:40:58 - I think it's still biased towards encoding the horizontal plane.
  • fast_forward00:41:02 - The story for grid cells and bats we're waiting with bated breath to see what
  • fast_forward00:41:06 - happens there and I think that'll raise some very interesting questions.
  • fast_forward00:41:10 - I'm looking forward to those data coming. But then if we take a rat and we sort
  • fast_forward00:41:16 - of glue it to a drone and we have the rat fly around in the lab to get its food.
  • fast_forward00:41:22 - Would you predict that it would develop three-dimensionally tuned play cells as the bat?
  • fast_forward00:41:30 - So you're asking a question about experience and is experience enough to create
  • fast_forward00:41:34 - a 3D bat? Right, because apparently the periphery is, as far as we know, rather comparable.
  • fast_forward00:41:39 - Yes, yes. So I guess the answer would have to be, I don't know.
  • fast_forward00:41:45 - No, we want the prediction. Well, so we have been raising rats in a fairly three-dimensional
  • fast_forward00:41:51 - environment so as to have subjects that are as 3D competent as we possibly can.
  • fast_forward00:41:56 - So they spend all of their time climbing through climbing frames and up and
  • fast_forward00:42:01 - down things, and they're pretty competent. They don't fly, and we've not put
  • fast_forward00:42:05 - them on a drone, but in all other respects, they're pretty good at this volumetric.
  • fast_forward00:42:10 - Navigation. But we don't see any difference in the encoding of their neurons.
  • fast_forward00:42:16 - So if I had to guess, I would say that I don't think experience is going to
  • fast_forward00:42:20 - create a 3D map if there isn't one there already.
  • fast_forward00:42:22 - But now we know that maybe in the rats that you're allowing to develop in a
  • fast_forward00:42:29 - 3D spatial space in the lab, they could still get away with just slicing it
  • fast_forward00:42:33 - up in many horizontal planes in which they operate, no?
  • fast_forward00:42:36 - Right, because they move around on surfaces. Exactly. So if I glued a rat to
  • fast_forward00:42:41 - another bat or to a drone, I have linear motion, but then really in three-dimensional
  • fast_forward00:42:45 - space. Yeah, I don't know.
  • fast_forward00:42:47 - I think we'd have to do it. I mean, there are hand-waving arguments for why
  • fast_forward00:42:51 - they might be able to do that.
  • fast_forward00:42:53 - One of them being that we all evolved from fully 3D-competent animals,
  • fast_forward00:42:57 - so fish, which move around in a volumetric space.
  • fast_forward00:43:01 - And it's quite possible that all of this evolved eons ago and that it's become
  • fast_forward00:43:07 - somewhat vestigial, or at least we don't use it.
  • fast_forward00:43:09 - Surface-dwelling animals like us and rats and mice and things don't use it,
  • fast_forward00:43:15 - but it's still there. So that's possible.
  • fast_forward00:43:18 - In support of that, there's research on astronauts, or observations on astronauts,
  • fast_forward00:43:24 - not formal studies as far as I know.
  • fast_forward00:43:26 - No, but observations of astronauts find that in the first few days of weightlessness,
  • fast_forward00:43:30 - they tend to try and form a flat map, if you like, where they reference their
  • fast_forward00:43:37 - knowledge of the layout of the environment to a notional floor.
  • fast_forward00:43:42 - So they define a nearby surface as the floor and then the surface opposite it as the ceiling.
  • fast_forward00:43:46 - And then if they drift across that space in their weightlessness and find themselves
  • fast_forward00:43:50 - too close to the ceiling, then they suddenly reorient their sense of direction
  • fast_forward00:43:53 - and now the ceiling becomes the floor.
  • fast_forward00:43:55 - So that suggests to me that they didn't start out with a three-dimensional map
  • fast_forward00:43:59 - because why would you have this reorientation if you were really quite happy
  • fast_forward00:44:04 - floating around in a space and just able to encode X, Y and Z with equal facility?
  • fast_forward00:44:10 - On the other hand, this disorientation abates over time, as far as I know.
  • fast_forward00:44:14 - So it's possible that they do develop some competency.
  • fast_forward00:44:17 - Whether it's a kind of a kludge, or it's just a kind of a hack,
  • fast_forward00:44:22 - not really a fully three-dimensional map, but one that functions like one,
  • fast_forward00:44:26 - I think we'd have to do probably some electrophysiology on them,
  • fast_forward00:44:30 - and I'm not sure we'd be allowed to.
  • fast_forward00:44:32 - But yeah, it's an open question. It's an interesting question,
  • fast_forward00:44:34 - I think, whether we have the capacity to do that, even if we don't use it.
  • fast_forward00:44:39 - One thing I think is quite potentially interesting is when we move to virtual
  • fast_forward00:44:42 - reality and we become more competent in navigating virtual environments where
  • fast_forward00:44:47 - we don't have the same constraints,
  • fast_forward00:44:49 - could we engage a fully three-dimensional map and could we even create a four-dimensional
  • fast_forward00:44:54 - one or more higher dimensional representations?
  • fast_forward00:44:57 - And that I think would be interesting to play around with. Are we being taken
  • fast_forward00:45:02 - in too much by this concept of a map?
  • fast_forward00:45:06 - Because yeah, if I have a good map, I have a compass, I can count steps,
  • fast_forward00:45:11 - I can know where I am in space, but now...
  • fast_forward00:45:14 - Uh if i if i'm in
  • fast_forward00:45:17 - the wrong place if i'm not where i'm on my map i can get lost but usually
  • fast_forward00:45:20 - there are ways of recovering from that for instance uh
  • fast_forward00:45:24 - i can look and see where some tall building is
  • fast_forward00:45:27 - or if i'm you know a bird i can
  • fast_forward00:45:30 - look at the constellation of the stars or where
  • fast_forward00:45:32 - the sun is in the sky or i can tell from the direction
  • fast_forward00:45:35 - the wind is blowing you know if i'm a seal maybe
  • fast_forward00:45:38 - it's water currents you know thermal gradients uh gravity
  • fast_forward00:45:42 - of course is always there as a queue so these systems
  • fast_forward00:45:45 - give us queues that will help us localize
  • fast_forward00:45:49 - ourselves or at least get something like a homing vector even when
  • fast_forward00:45:52 - the uh the hippocampal map fails so
  • fast_forward00:45:56 - maybe is it possible the hippocampal map is is just part of this bigger navigation
  • fast_forward00:46:01 - system and it's one of the things that are constraining our choices about going
  • fast_forward00:46:05 - the world but we're not tied to it in such a strong way yeah i think that's
  • fast_forward00:46:10 - exactly right i think there are you know there's quite a lot of research to
  • fast_forward00:46:13 - suggest that there are multiple spatial systems and what we've been calling map-based navigation,
  • fast_forward00:46:19 - which really refers to using constellations of cues to extract distance and
  • fast_forward00:46:24 - direction metrics for navigation.
  • fast_forward00:46:27 - I think that's only one of several different strategies, and you've mentioned some.
  • fast_forward00:46:31 - So beacon navigation, for example, where you just head towards the nearest tall
  • fast_forward00:46:34 - building or whatever it was.
  • fast_forward00:46:36 - You may not necessarily know where you are, but you can see where you need to
  • fast_forward00:46:39 - get to, and so you just head towards it.
  • fast_forward00:46:43 - Or remembering sequences of left-right turns that you have to make.
  • fast_forward00:46:48 - I think a lot of our navigation is this stimulus-based, route-based navigation,
  • fast_forward00:46:54 - where we're not really thinking about where we are within the global scheme
  • fast_forward00:46:57 - of things and not really computing directions, but remembering patterns of behavior anchored to landmarks.
  • fast_forward00:47:02 - When I go to work in the morning, I drive to the corner and I turn left.
  • fast_forward00:47:05 - I don't think about the overall direction I'm going. I just know my route, you know.
  • fast_forward00:47:11 - So, yeah, I think the brain has multiple systems, and I think it's possible
  • fast_forward00:47:16 - to exploit that for various purposes.
  • fast_forward00:47:18 - For example, I think it's something that robotics could usefully do,
  • fast_forward00:47:21 - is to have these parallel multiple systems that interact.
  • fast_forward00:47:26 - And one of the things that's emerged from animal studies is that certainly the
  • fast_forward00:47:31 - root-based and the map-based systems seem to operate almost,
  • fast_forward00:47:35 - I mean, not in opposition, but in an either-or fashion.
  • fast_forward00:47:38 - So you tend to use one or the other. You switch between them.
  • fast_forward00:47:41 - But wouldn't there be some of these other mechanisms could be involved in stitching
  • fast_forward00:47:45 - together these sort of globally local hippocampal maps?
  • fast_forward00:47:49 - Because what I got from your talk is that if I'm exploring on a piece of flat
  • fast_forward00:47:55 - ground, I have a map for this.
  • fast_forward00:47:58 - But then if I decide to run up this tree, I'm into another map.
  • fast_forward00:48:02 - But I need then to know how these maps fit together in sort of bigger space and.
  • fast_forward00:48:08 - It seems less likely that I have a global map, maybe at a coarser scale,
  • fast_forward00:48:12 - but maybe I'm using other sets of cues to try and integrate between these local patches.
  • fast_forward00:48:18 - Yeah, I think there's probably more than one way of creating a larger scale patchwork map as well.
  • fast_forward00:48:25 - I think you've identified one, so it is quite possible that there could be these
  • fast_forward00:48:31 - root-based ways of stitching together your behavior, if you like.
  • fast_forward00:48:36 - As for stitching together
  • fast_forward00:48:39 - the actual fragments of the map to make a larger map i think there
  • fast_forward00:48:43 - you would want a brain system that had some notion
  • fast_forward00:48:46 - about about direction because ultimately even if you're using a coarse more
  • fast_forward00:48:53 - topological map where you've not got fine-grained distance information you still
  • fast_forward00:48:58 - need some general idea of which direction to go and so i think it's more
  • fast_forward00:49:03 - likely that it would be some brain system that's interacting with the head direction system.
  • fast_forward00:49:07 - So we think that route-based navigation depends on the striatum,
  • fast_forward00:49:10 - which is involved in controlling behavior in response to stimuli in the environment.
  • fast_forward00:49:16 - But I think a more spatial, a more globally spatial system, more connected with
  • fast_forward00:49:22 - the compass system, would be likely for the larger scale map.
  • fast_forward00:49:25 - And we've been looking quite a lot at retrospinal cortex and other cortical
  • fast_forward00:49:30 - regions, which talk to the hippocampal system, but they also talk to the head
  • fast_forward00:49:36 - direction system and also quite a lot to other sensory systems.
  • fast_forward00:49:40 - It seems to be quite a waypoint for many converging information streams.
  • fast_forward00:49:45 - What about humans? Because I know some that have no sense of direction.
  • fast_forward00:49:49 - I mean, I don't know about myself, but yeah. Members of my family,
  • fast_forward00:49:53 - for instance, have no idea which direction they should go in.
  • fast_forward00:49:56 - There's a lot of interesting research on humans.
  • fast_forward00:49:59 - It's quite an enormous literature.
  • fast_forward00:50:01 - And people vary a lot in their spatial capabilities.
  • fast_forward00:50:06 - And one person who's been doing some interesting work on this is Eleanor McGuire,
  • fast_forward00:50:10 - who has been looking recently.
  • fast_forward00:50:14 - She's done a lot of work over many years looking at different aspects of navigation.
  • fast_forward00:50:18 - But recently she's been looking at how people encode landmarks and use them in navigation.
  • fast_forward00:50:23 - And she's found that people vary in their ability to decide how permanent a
  • fast_forward00:50:29 - landmark is, which is an odd thing to have doubts about.
  • fast_forward00:50:33 - But apparently people vary along this continuum.
  • fast_forward00:50:36 - And she finds that people who are not very good at specifying how permanent
  • fast_forward00:50:39 - landmarks are also not very good at navigating.
  • fast_forward00:50:42 - They perform quite poorly in tests. and interestingly the brain structure that
  • fast_forward00:50:46 - lights up when people are deciding about permanence of landmarks is retrospinal cortex.
  • fast_forward00:50:52 - Now that's a brain structure that my lab has been interested in recently because
  • fast_forward00:50:55 - it's very interested in landmarks and it has a lot of head duration cells and
  • fast_forward00:51:00 - we think that it may be doing the job of processing landmarks and deciding to
  • fast_forward00:51:06 - what extent they're useful to the head duration system and then attaching them
  • fast_forward00:51:09 - or not attaching them to the the head direction signal.
  • fast_forward00:51:12 - So this is work that's just beginning, but I think we're slowly starting to
  • fast_forward00:51:16 - build up this picture that it's not really all about the hippocampus.
  • fast_forward00:51:19 - The hippocampus is the core of a much bigger system.
  • fast_forward00:51:24 - That's also what you argued towards the end, right?
  • fast_forward00:51:27 - Because, okay, so in some sense, I guess you were hoping to find a clean three-dimensional
  • fast_forward00:51:33 - tuning of, let's say, the grid cells, although we didn't really talk too much
  • fast_forward00:51:38 - about the place cells in this context.
  • fast_forward00:51:39 - But in some it doesn't come out so clean right and
  • fast_forward00:51:42 - then you propose that maybe these are like the grid
  • fast_forward00:51:45 - cells could be could be thought of as cylinders that cut through
  • fast_forward00:51:48 - it of a uniform way the third dimension but
  • fast_forward00:51:52 - the physiology was maybe not always that clean
  • fast_forward00:51:55 - with respect to then still a grid-like structuring of the response because i
  • fast_forward00:52:00 - remember on some of the walls you get a huge clustering of the response in one
  • fast_forward00:52:03 - corner or the other corner right right and then And the point you made is that
  • fast_forward00:52:08 - the modulation of this response is strongly dependent on gravity and the orientation of the body.
  • fast_forward00:52:14 - So how does this now come in to the modulation of this grid cell response that you recorded?
  • fast_forward00:52:22 - Well, the hypothesis, and it's really only a hypothesis, we don't have any data
  • fast_forward00:52:27 - on the role of gravity, but the hypothesis is that the grid cell system The
  • fast_forward00:52:32 - system wants to create a grid,
  • fast_forward00:52:36 - and the grid is essentially a flat thing, and it needs to decide what surface
  • fast_forward00:52:42 - is it going to lay its grid on.
  • fast_forward00:52:45 - And normally, in a normal environment,
  • fast_forward00:52:47 - we were just walking around on the floor, then it uses the floor.
  • fast_forward00:52:49 - And of course, when we record rats in the laboratory, normally they're walking
  • fast_forward00:52:52 - around on the floor and we see grids on the floor.
  • fast_forward00:52:55 - But it's when we start to have rats walking around on things that aren't the
  • fast_forward00:52:58 - floor, that we start to see this slight modulation of what the grid cells are doing.
  • fast_forward00:53:03 - And the simplest explanation for
  • fast_forward00:53:06 - the patterns we see is that the grid cell system sometimes chooses the wall
  • fast_forward00:53:10 - as its reference plane and it's trying to produce a grid on the wall and sometimes
  • fast_forward00:53:15 - it uses the floor even if the rat's walking around on a wall if the rat is actually
  • fast_forward00:53:20 - oriented horizontally and the floor is beneath it and it can see it.
  • fast_forward00:53:24 - So the pattern that we see on the pegboard with the stripes,
  • fast_forward00:53:28 - we think that's happening because the grid cell system has decided to use the
  • fast_forward00:53:31 - floor as its reference plane and not the wall.
  • fast_forward00:53:33 - Even though the rat's climbing on the wall.
  • fast_forward00:53:38 - That kind of simple model has to be qualified because of this finding that when
  • fast_forward00:53:42 - the rat is walking around on the wall, we don't see these neat grids.
  • fast_forward00:53:46 - Possibly they're neat grids if we could have a huge wall and have the rat walk around on it.
  • fast_forward00:53:51 - I'm trying to persuade my PhD student, Julia, to do that experiment.
  • fast_forward00:53:56 - It would be a very difficult one. Okay.
  • fast_forward00:53:58 - So then the grid cells, the story
  • fast_forward00:54:02 - is not finished. In which perspective is tuning in the third dimension.
  • fast_forward00:54:06 - However, I think there's this strong conviction by everybody in the field that
  • fast_forward00:54:11 - they do represent a metric, right?
  • fast_forward00:54:13 - They really contribute to having a metric representation in this case of distance.
  • fast_forward00:54:17 - But then in some of the heuristic is often like, well, you know,
  • fast_forward00:54:21 - grid cells give you this great representation of space.
  • fast_forward00:54:23 - And with those, we can build place cells. So that's fantastic.
  • fast_forward00:54:27 - This was the original intuition, and then it came out that also if you look
  • fast_forward00:54:32 - at development, it actually not occurs in that order.
  • fast_forward00:54:34 - It's much more that the play cells help you to structure grid cells.
  • fast_forward00:54:38 - So that raises a question about
  • fast_forward00:54:40 - also the directionality of the information processing in this system.
  • fast_forward00:54:45 - So you could also argue, look, if we take the cortical sheet,
  • fast_forward00:54:48 - then at one end we will have this entorhinal cortex running across it,
  • fast_forward00:54:54 - and then from there hangs our hippocampus.
  • fast_forward00:54:56 - So we have now this interface between hippocampus and cortex through entorhinal
  • fast_forward00:55:00 - cortex where we have this metric.
  • fast_forward00:55:05 - It could also actually be a metric that helps Cortex to read out what the hell
  • fast_forward00:55:08 - is going on in hippocampus.
  • fast_forward00:55:10 - Is that an option you would consider? Yes. Yeah, I think the system is unlikely
  • fast_forward00:55:16 - to have a directionality.
  • fast_forward00:55:18 - I think the system is very bidirectional, very highly interconnected, in fact.
  • fast_forward00:55:25 - The only exception to that really is this relatively one-way flow of information
  • fast_forward00:55:30 - through the hippocampus itself.
  • fast_forward00:55:33 - But even then, there are multiple shortcuts. So information coming from the
  • fast_forward00:55:36 - entorhinal cortex to the dentate gyrus also takes a shortcut to CA3 and information
  • fast_forward00:55:41 - going to CA3 also takes a shortcut to CA1 and so on.
  • fast_forward00:55:45 - But then the output goes back to the entorhinal cortex and then it goes back out to cortex.
  • fast_forward00:55:50 - So I agree that I think that the information flow goes both ways.
  • fast_forward00:55:56 - I think all the structures depend on each other to some extent.
  • fast_forward00:55:58 - So I think that the play cells, they're getting lots of information other than the grid cell input.
  • fast_forward00:56:05 - In fact, you could knock out the grid cell signal and the place cells still
  • fast_forward00:56:08 - produce quite nice fields, so they're quite capable of forming place fields.
  • fast_forward00:56:12 - But I think what we will find if we do the relevant experiments is that in that
  • fast_forward00:56:18 - situation, there's not really metric information.
  • fast_forward00:56:21 - So the animal, for example, can't path integrate.
  • fast_forward00:56:24 - And in fact, there's some work from Marseille that shows that if If you lesion
  • fast_forward00:56:30 - into a rhino cortex, then animals lose the ability to calculate distances properly.
  • fast_forward00:56:34 - So I think that right now,
  • fast_forward00:56:39 - I would probably favor a model in which the place cells form a sort of a,
  • fast_forward00:56:46 - what I think of as almost like a pixel map of the environment.
  • fast_forward00:56:50 - So they sort of respond to the constellation of sensory cues that are present
  • fast_forward00:56:55 - at each particular point in space.
  • fast_forward00:56:58 - Together with a grid cell input, but they don't have to have the grid cell input.
  • fast_forward00:57:02 - And the grid cells, in turn, use the place cells to know how to attach their
  • fast_forward00:57:06 - grids to a given environment.
  • fast_forward00:57:08 - And they do need the place cells. So if you knock out the place cells,
  • fast_forward00:57:11 - the grids become very unhappy.
  • fast_forward00:57:13 - And so the function of the grid cells is to help the place cells appropriately
  • fast_forward00:57:19 - position their fields, for example, in the middle of a large open field where
  • fast_forward00:57:22 - you're not near any boundaries and you've not got a lot of other information
  • fast_forward00:57:25 - and so on. or if you close your eyes and walk around in the dark or something.
  • fast_forward00:57:28 - So the grid cells are basically providing metric information that can substitute
  • fast_forward00:57:33 - for the sensory cues to the place cells if the sensory cues drop out for some reason.
  • fast_forward00:57:38 - So yes, I think it's very bidirectional. I think there's a lot of mutual dependency
  • fast_forward00:57:42 - and the brain is highly interconnected and systems are all helping each other all the time, I think.
  • fast_forward00:57:49 - But then the grid cell is the system that now can bidirectly interact between the two.
  • fast_forward00:57:54 - It's driven by a velocity signal. This velocity signal also comes through quite
  • fast_forward00:57:58 - a cascade of processing stages, including the thalamus.
  • fast_forward00:58:02 - So this might suggest that there are other systems than your vestibular system
  • fast_forward00:58:06 - that might grab hold of driving this velocity signal.
  • fast_forward00:58:09 - So it means I could actually start to distort this metric or I could even impose
  • fast_forward00:58:14 - a completely different kind of metric.
  • fast_forward00:58:15 - Yes. Do you consider that option?
  • fast_forward00:58:18 - Yes. So a lot of very elegant work has been done using virtual reality to independently
  • fast_forward00:58:26 - manipulate various aspects of the signals that the brain could be using to extract velocity.
  • fast_forward00:58:33 - So that includes things like motor cues. So how many footsteps and how quickly
  • fast_forward00:58:39 - are they being produced?
  • fast_forward00:58:41 - How quickly is the optic flow signal moving past the eyes and so on?
  • fast_forward00:58:46 - So there are other cues than just the vestibular signal.
  • fast_forward00:58:49 - And so people have played around with independently varying these to see what happens.
  • fast_forward00:58:55 - And I think the story that's emerging is a little bit complex.
  • fast_forward00:58:59 - One of the things that is quite striking to me is that nobody has yet shown
  • fast_forward00:59:04 - a head direction signal in virtual reality.
  • fast_forward00:59:09 - So I think the head direction signal is possibly quite dependent on the vestibular signal.
  • fast_forward00:59:15 - Of course, the vestibular signal is the thing that's missing in virtual reality. Exactly. Usually.
  • fast_forward00:59:19 - At least that's true for animals where the head is fixed. If there are some
  • fast_forward00:59:23 - variants of virtual reality, for example, David Tank's group has a virtual reality
  • fast_forward00:59:27 - setup where the animals can rotate, but they can't move in linear space.
  • fast_forward00:59:33 - So they're running on a ball and they can freely rotate so they can get the
  • fast_forward00:59:36 - angular component of the vestibular signal and there there are head direction
  • fast_forward00:59:40 - cells and indeed they see grid cells and place cells but the grids are quite expanded,
  • fast_forward00:59:47 - which I think is interesting because.
  • fast_forward00:59:51 - And slightly analogously to the findings that we have on the wall,
  • fast_forward00:59:56 - the thing that's missing in
  • fast_forward00:59:57 - that apparatus is a linear acceleration signal from the vestibular system.
  • fast_forward01:00:01 - And that was one of the things that made us start thinking maybe that's what's
  • fast_forward01:00:04 - wrong with our grid cells on the wall is the absence of the signal.
  • fast_forward01:00:06 - So I think the vestibular system is not the only velocity signal.
  • fast_forward01:00:11 - It's not necessarily even the most important velocity signal,
  • fast_forward01:00:15 - but I think it normally is there and it normally is quite supportive to the system.
  • fast_forward01:00:20 - It's it's a little bit worrying that you're
  • fast_forward01:00:23 - not getting head direction cells given what we've talked about uh in
  • fast_forward01:00:27 - these virtual reality environments where you know
  • fast_forward01:00:30 - animals are running on balls and things because that's uh one way in which the
  • fast_forward01:00:35 - field has moved quite a lot just in the last decade you have an animal head
  • fast_forward01:00:39 - fixed so you can do a lot of detailed recording but you've thrown away um perhaps
  • fast_forward01:00:45 - quite a significant amount of the ethological relevance,
  • fast_forward01:00:47 - to what those actual recordings might mean yeah and it's
  • fast_forward01:00:51 - it's it struck me as well listening to your talk today that you're actually
  • fast_forward01:00:55 - using uh very enriched environments but uh and the system you're you're looking
  • fast_forward01:01:00 - at is then perhaps a bit closer to the you know the natural animal and its free
  • fast_forward01:01:06 - state than some of these other environments that um.
  • fast_forward01:01:10 - People have been using to look at the hippocampal system before.
  • fast_forward01:01:14 - And you also, you know, you noted that when we went from testing animals in
  • fast_forward01:01:17 - small boxes to testing animals in slightly bigger boxes, two meters,
  • fast_forward01:01:21 - which isn't huge, then we discovered grid cells.
  • fast_forward01:01:24 - So I'm just wondering, you know, what else are we going to discover when we
  • fast_forward01:01:30 - really take seriously the lifestyle of the animal?
  • fast_forward01:01:33 - You know, sort of these animals live in tunnels a lot. So, you know,
  • fast_forward01:01:37 - they move around nocturnally most of their time, and we're testing them under lighted conditions.
  • fast_forward01:01:42 - Are we missing other important things?
  • fast_forward01:01:45 - I think that's a really, really important point. And I totally agree that the
  • fast_forward01:01:50 - conditions that we're recording in at the moment are not very ethologically valid.
  • fast_forward01:01:55 - And there are pluses and minuses to that. So one of the things that you do,
  • fast_forward01:01:59 - of course, is to reduce the complexity, and that enables you to look at factors in isolation.
  • fast_forward01:02:03 - But, of course, what you lose is the real-world relevance. So ultimately,
  • fast_forward01:02:09 - you have to start putting all of the stuff back together again.
  • fast_forward01:02:12 - And I think one of the big outstanding questions for me is what do grid-in-place
  • fast_forward01:02:16 - cells do in a normal cluttered environment like a burrow system or a field with
  • fast_forward01:02:22 - trees and rocks and things like that? it.
  • fast_forward01:02:24 - And my belief, which we've not tested yet, but it'd be relatively easy to test, is that.
  • fast_forward01:02:34 - A day in the life of a grid cell wouldn't result in a nice hexagonal close-packed array of firing fields.
  • fast_forward01:02:42 - I think if you just recorded a grid cell for a week or two in a rat,
  • fast_forward01:02:45 - you'd find it almost never produced a hexagonal close-packed array of firing fields.
  • fast_forward01:02:49 - Most of the time it would produce blobs scattered at what look like random places
  • fast_forward01:02:53 - around the environment because of course the rat is, you know, walking.
  • fast_forward01:02:56 - Rats, they have these very stereotyped kind of behaviours in familiar territory
  • fast_forward01:03:00 - where they have these little rat runs, you know, little paths that they like to follow and so on.
  • fast_forward01:03:04 - They don't tend to forage in an even way across the surface of the environment.
  • fast_forward01:03:09 - So I think when we start to think about what are these cells actually doing
  • fast_forward01:03:14 - for the animal, we need to bear that in mind, that we're very captivated by
  • fast_forward01:03:21 - the regularity of the pattern that we're able to elicit.
  • fast_forward01:03:23 - But the regularity of the pattern may not be the thing that the brain really
  • fast_forward01:03:26 - cares about with grid cells. It may be something else.
  • fast_forward01:03:30 - It may be, for example, the function of a grid cell is just to separate out
  • fast_forward01:03:34 - pieces of the environment so that the representations of them don't kind of
  • fast_forward01:03:39 - bleed into each other or something like that that's kind of a bit different
  • fast_forward01:03:42 - from how we've been thinking.
  • fast_forward01:03:44 - So we really don't know what they're for yet.
  • fast_forward01:03:46 - And so I think your ethological point is extremely valid.
  • fast_forward01:03:50 - So they might as well be de-correlating spatial representations given that they
  • fast_forward01:03:55 - have only, let's say, interleaved responses to space.
  • fast_forward01:03:59 - Possibly, possibly. I think it's a hypothesis worth considering.
  • fast_forward01:04:04 - So, Kate, I mean, you have attacked these really complicated problems of, you know, rats in space.
  • fast_forward01:04:12 - And you're going to be busy with that for a little while. You also have been
  • fast_forward01:04:17 - very close, if you want, to the discovery of grid cells.
  • fast_forward01:04:20 - You've been exposed to all this work around spatial cognition, place cells.
  • fast_forward01:04:25 - So, in that sense, you really represent a very specific tradition in neuroscience,
  • fast_forward01:04:30 - a systems neuroscience. science, trying to link behavior to the neural substrate.
  • fast_forward01:04:34 - So if we now would like to follow in your tradition, what would be Kate's Law
  • fast_forward01:04:38 - that we have to write on the wall and read every morning when we wake up?
  • fast_forward01:04:43 - Kate's Law. Ooh. Um.
  • fast_forward01:04:48 - Okay, you've caught me on the back foot there. I'd have to go away.
  • fast_forward01:04:51 - I mean, I can, I've, you mean, you mean a law as in a law about the functioning of the brain?
  • fast_forward01:04:56 - No, a law that we have to adhere to in terms of studying and understanding the brain.
  • fast_forward01:05:00 - It's kind of your advice to your new grad student.
  • fast_forward01:05:03 - I think. Look at me as a new grad student.
  • fast_forward01:05:08 - Well, one law is the brain is very complicated. The other, the other thing is
  • fast_forward01:05:14 - the brain is very simple.
  • fast_forward01:05:15 - I think the brain is made of these very slowly computing blobs of jelly.
  • fast_forward01:05:28 - And I think wherever possible, it's trying to optimize the problems it's trying
  • fast_forward01:05:30 - to solve so as to save itself as much work as possible.
  • fast_forward01:05:33 - And I think we have to remember that, particularly when we're designing artificial
  • fast_forward01:05:36 - intelligent machines and things like that, we have to think to what extent are
  • fast_forward01:05:40 - the systems biologically realistic and to what extent should they be?
  • fast_forward01:05:44 - Because biology really is just trying to keep the animal alive and it may not
  • fast_forward01:05:47 - be trying to do it in the most elegant way so much as the way that works for
  • fast_forward01:05:51 - the environment of the animal at the time. So I guess that would be it.
  • fast_forward01:05:55 - Okay. So then Tony actually likes trains a lot and he also likes to take the
  • fast_forward01:06:00 - train often from Sheffield to London and five years from now I'll buy him a
  • fast_forward01:06:04 - train ticket to go to London, visit you,
  • fast_forward01:06:06 - and he will visit your lab and he will come with a piece of paper that says, okay, Kate,
  • fast_forward01:06:10 - five years ago you made this prediction and today we want to know whether it
  • fast_forward01:06:15 - was verified or not or rejected so what's the most important prediction you
  • fast_forward01:06:20 - would like to make today in this time window of five years that you really want
  • fast_forward01:06:25 - to see tested in that time frame um,
  • fast_forward01:06:31 - Well, several predictions. I mean, five years is not very long,
  • fast_forward01:06:33 - so I should hedge my bets.
  • fast_forward01:06:37 - Don't, you can't wait that long, Kate, sorry. Sorry. Important prediction.
  • fast_forward01:06:42 - So one thing I think is I really like this idea that the vestibular cerebellum
  • fast_forward01:06:48 - provides a signal that modulates the updating of the head direction signal in
  • fast_forward01:06:56 - three dimensions and allows us to essentially to relate all of our frames of reference.
  • fast_forward01:07:01 - So I think that the function of the cerebellum may well be thought of as a way
  • fast_forward01:07:06 - of transforming between reference frames, and that it uses the gravity signal
  • fast_forward01:07:11 - and the other vestibular signals to do that.
  • fast_forward01:07:12 - So that's something that I would like to have at least started on in five years,
  • fast_forward01:07:17 - and we're just thinking about how we might do that.
  • fast_forward01:07:20 - Second thing, grid cells. I would like to have found out by then whether grid
  • fast_forward01:07:26 - cells form a hexagonal close-packed lattice in three dimensions.
  • fast_forward01:07:29 - And I'm honestly agnostic about that. I've been selling this multi-planar idea,
  • fast_forward01:07:33 - but I have an open mind about whether that's really true.
  • fast_forward01:07:38 - And then the third thing is that we're very interested in the retrosplenial cortex.
  • fast_forward01:07:44 - I think it's a really interesting and barely understood structure.
  • fast_forward01:07:48 - And I'm I'm hoping that we will have made a big step towards understanding what
  • fast_forward01:07:53 - it's doing with all that information that it's getting.
  • fast_forward01:07:56 - Great. Okay, Jeffrey, thank you so much for this conversation.
  • fast_forward01:07:59 - Thank you. Thank you. Thank you.
  • fast_forward01:08:02 - The CSN podcast was produced by the Convergent Science Network of Biometrics
  • fast_forward01:08:08 - and Biohybrid Systems, a project funded by the European Sevens Research Framework
  • fast_forward01:08:15 - Programme. Oh, that was fun.
  • fast_forward01:08:16 - Yeah. You did so well. For more interviews, recorded lectures,
  • fast_forward01:08:20 - or upcoming conferences in the field of biometrics and biohybrid systems, go to csnnetwork.eu.
  • fast_forward01:08:28 - Thank you for listening.
  • fast_forward01:08:33 - I'm trying to think of all the people I've insulted along the way write all
  • fast_forward01:08:38 - these apologetics oh I didn't mention so and so oh I attributed this to them no don't worry,
  • fast_forward01:08:45 - now it's interesting that indeed the system is indeed not as clean as we would
  • fast_forward01:08:52 - like it to be and how we want also how it is represented in literature,
  • fast_forward01:08:57 - right this is I think we have to be so careful with that Because we built this
  • fast_forward01:09:03 - caricature of what this is.
  • fast_forward01:09:04 - I mean, of course, as soon as you get closer to more realistic task conditions,
  • fast_forward01:09:08 - it will not look at all like this. So maybe even take the wolf situation.
  • fast_forward01:09:13 - Maybe this big blob you see in the corner is much closer to an ecologically
  • fast_forward01:09:17 - valid response of your grid cells than the beautifully, nicely, right?
  • fast_forward01:09:21 - It's definitely possible. We cannot exclude that right now.
  • fast_forward01:09:23 - Yeah, yeah. And it's sort of a scary thought.
  • fast_forward01:09:27 - Yes. Well, scary, but also interesting. I mean, I think the field tends to attract
  • fast_forward01:09:35 - a lot of engineers and physicists and people who have a certain way of thinking about things.
  • fast_forward01:09:41 - And I think the sort of niche that I inhabit is a slightly unusual one because
  • fast_forward01:09:45 - I'm more of a psychologist slash ethologist by inclination.
  • fast_forward01:09:50 - I look at these beautiful elaborate models of interacting oscillations and this,
  • fast_forward01:09:56 - that and the other. And I think there's a spectacular intellectual achievement.
  • fast_forward01:10:01 - But is that really what it's for? You know, in the messy real world when an
  • fast_forward01:10:05 - animal is climbing up and down over rocks?
  • fast_forward01:10:07 - Have we really got this, you know, these fine, great, maybe we have.
  • fast_forward01:10:11 - But I do think we need some people who are slightly more grounded in the psychology
  • fast_forward01:10:16 - and the behavior and stuff.
  • fast_forward01:10:19 - Well, this is also the point that I think also the point Tony made about the
  • fast_forward01:10:23 - robots, for instance. So to just try to convince people, look,
  • fast_forward01:10:27 - if you want to build models of these kinds of things, link it to a robot because
  • fast_forward01:10:30 - it gets you a little bit closer to real behavior.
  • fast_forward01:10:32 - Because Leash, this is also a bit my beef earlier about these grid cell models,
  • fast_forward01:10:36 - these attractive grid cell models.
  • fast_forward01:10:38 - They all came out in 2006. We also produced one. Yeah.
  • fast_forward01:10:44 - The only one that actually was linked up to a robot and showed,
  • fast_forward01:10:47 - look, this gives you a grid-like response over time, doesn't want to be produced
  • fast_forward01:10:52 - because it was linked to a robot. Right.
  • fast_forward01:10:53 - All the others are more conceptual models. Like, okay, yes, you can imagine
  • fast_forward01:10:57 - that, but the stability conditions are dramatically different. Right, right.
  • fast_forward01:11:02 - So I think this is really a contribution that this more robot-oriented thing can make.
  • fast_forward01:11:06 - You can say, look, consider the computational principles in the context of this
  • fast_forward01:11:10 - embodied real-world system. Yeah, yeah. It has to satisfy all these constraints.
  • fast_forward01:11:14 - If the robot doesn't give you behavior that looks plausible, forget the model.
  • fast_forward01:11:18 - Yeah, because I mean, I think it's a really important point.
  • fast_forward01:11:20 - Because, you know, when you're building a computational model,
  • fast_forward01:11:23 - you can have perfect senses.
  • fast_forward01:11:25 - You know, you can have an absolutely veridical velocity signal,
  • fast_forward01:11:27 - but the real world isn't like that. Sensors are very imperfect.
  • fast_forward01:11:30 - They accumulate error quickly. There's a lot of, you know, uncertainty and conflict
  • fast_forward01:11:35 - and this, that, and the other.
  • fast_forward01:11:36 - I mean, so you asked me what, you know, robotics has taught me.
  • fast_forward01:11:39 - And one of the things I learned early on, so my husband,
  • fast_forward01:11:43 - Jim, who is a roboticist, who was trying to get robots to integrate sensory
  • fast_forward01:11:50 - inputs from different sensory modalities.
  • fast_forward01:11:53 - And it seemed like a really simple problem.
  • fast_forward01:11:55 - It just turned out to be incredibly difficult because when you look at what
  • fast_forward01:11:58 - raw sensory data look like, it's just a mess.
  • fast_forward01:12:02 - And how do you extract spatial signals from all of that? And so I think you're absolutely right.
  • fast_forward01:12:07 - Right, I think if you want your computational model to have any kind of credibility,
  • fast_forward01:12:11 - you need to show that it could work in the messy real world,
  • fast_forward01:12:14 - given the constraints of noisy sensors and this, that, and the other.
  • fast_forward01:12:18 - Right, and I think that's why you need the robustness of multiple systems.
  • fast_forward01:12:21 - Yeah. So I think the grid cell data is beautiful, that you have this multi-module
  • fast_forward01:12:27 - system that the Moses have shown that gives you an actual location in space.
  • fast_forward01:12:33 - But that's still only one way of understanding,
  • fast_forward01:12:37 - of of working out where you are and it could be wrong and then
  • fast_forward01:12:39 - what's your backups and i think the beautiful thing
  • fast_forward01:12:42 - about animals is they have lots of different backups
  • fast_forward01:12:46 - and they're potentially independent because
  • fast_forward01:12:49 - you might want them to be you don't want you don't want everything to depend
  • fast_forward01:12:52 - on your head direction system and people without a good sense of direction get
  • fast_forward01:12:56 - around perfectly well in everyday life so you know how they do well some do
  • fast_forward01:13:00 - some do some well they make mistakes But they generally have strategies for compensating.
  • fast_forward01:13:07 - And that's what I think biological things are good at, is compensating for the
  • fast_forward01:13:12 - lack of perfect information, compensating when some parts of the system fail.
  • fast_forward01:13:17 - And that's where robots fall down right now. We usually have one way of doing stuff.
  • fast_forward01:13:21 - For instance, we're trying to build driverless cars now.
  • fast_forward01:13:25 - And some people, like Elon Musk, say five years away we'll have it.
  • fast_forward01:13:29 - But what he's got is a system that works when you've got nice white lines down
  • fast_forward01:13:34 - the edge of the road, then you can drive.
  • fast_forward01:13:36 - But he doesn't have anything like the multiple systems that actually give you
  • fast_forward01:13:41 - a robust, fail-proof, fail-safe system that's never going to crash.
  • fast_forward01:13:47 - And other people will say, look, we're 50 years away from having that for driverless cars.
  • fast_forward01:13:51 - Another example of that is the importance
  • fast_forward01:13:55 - of this more embodied ecologically valid approach take
  • fast_forward01:13:58 - all this noise we had about uh what's
  • fast_forward01:14:01 - called deep q learning like now we have a deep learning network that can
  • fast_forward01:14:04 - also act and then it can learn these atari games um okay that's cute but actually
  • fast_forward01:14:10 - what you see is that in order to make that work they have to randomly sample
  • fast_forward01:14:15 - the input space now think about that right that's great when you write an algorithm
  • fast_forward01:14:19 - when i'm a behaving system My input stream is continuous.
  • fast_forward01:14:22 - I cannot jump around like a frog and make sure I have an even sampling.
  • fast_forward01:14:27 - This has been documented since the early 90s in these more embodied models.
  • fast_forward01:14:32 - This has also been shown to be a major weakness in these sort of hierarchical
  • fast_forward01:14:36 - classifier systems that people also exploit in deep learning.
  • fast_forward01:14:41 - That means as soon as he thinks, and this is not considered a problem right
  • fast_forward01:14:44 - now, because no one is thinking it through in behavioral terms.
  • fast_forward01:14:47 - And I think that's a real problem.
  • fast_forward01:14:49 - Because now, in some sense, we're getting a lot of noise in the literature,
  • fast_forward01:14:52 - a lot of people being distracted.
  • fast_forward01:14:54 - And also, I think, misinformed because we're not imposing the right constraints.
  • fast_forward01:15:00 - And in my opinion, in these models, we must insist on bringing together behavior,
  • fast_forward01:15:05 - anatomy, and physiology.
  • fast_forward01:15:06 - Any model must answer that. And if you're not able to do that,
  • fast_forward01:15:10 - it's under constraint and for me, it's noise.
  • fast_forward01:15:13 - It's not necessarily helping, but it's not, of course, it makes life more difficult.
  • fast_forward01:15:20 - Replicating colorful pictures in MATLAB is a lot easier. I mean,
  • fast_forward01:15:23 - it sort of depends what you're trying to do though.
  • fast_forward01:15:25 - I mean, some people are trying to understand the brain, but some people are
  • fast_forward01:15:28 - trying to build neural networks that do things and looking at the brain,
  • fast_forward01:15:33 - it may give you some ideas, years but replicating the brain
  • fast_forward01:15:35 - is not necessarily a good thing to do because it is that's
  • fast_forward01:15:38 - fine but they shouldn't claim that they explain anything yeah
  • fast_forward01:15:41 - so but as the people you know i can i can see you know i could see that the
  • fast_forward01:15:45 - discipline is full of all sorts of people doing stuff that's just totally useless
  • fast_forward01:15:49 - but i do think that there are um there are kind of insights that you can get
  • fast_forward01:15:54 - from stuff like this as well but it's also a matter of being being upfront about
  • fast_forward01:15:59 - what your constraints are.
  • fast_forward01:16:01 - Of course, anyone is free to play around to get an idea about some competition.
  • fast_forward01:16:05 - Great. Yeah. Right, but be clear about it. Don't pretend that suddenly now we
  • fast_forward01:16:09 - have an explanation for how a brain might do something.
  • fast_forward01:16:12 - Yeah, yeah. People are overconfident. Yes, absolutely. And there's too much
  • fast_forward01:16:15 - methamphetosis going on. Yeah.
  • fast_forward01:16:17 - In my opinion. Yeah. But anyway, behavior is the way forward.
  • fast_forward01:16:21 - Well, you know, yeah. You need all of these different approaches.
  • fast_forward01:16:25 - Would you do any modeling yourself?
  • fast_forward01:16:27 - Um, not, not much. I've done a little bit. Okay.
  • fast_forward01:16:31 - Um, and I've just hired a modeling person actually, who's, who's worked on the ring tractor network.
  • fast_forward01:16:38 - And so we're going to get him to try and model a fair color tractor and just play around with it.

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