WEBVTT

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Huh? Okay.

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This is the Convergent Science Network podcast.

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Leading researchers in the domain of neuroscience, brain theory and technology

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are interviewed by Paul Verschoor and Tony Prescott.

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This is Paul Verschoor with the Convergent Science Network podcast together

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with my colleague Tony Prescott and with Murray Shanahan who was speaking this

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morning in our summer school here in Barcelona.

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And Murray, you presented, let's say, a bit more an abstract view on cortical

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dynamics and how we could think about cortical dynamics.

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So what are the key features of this model of cortex you're presenting and what

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are you trying to explain?

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So I think the key feature of the model, which reflects my current interests

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really, is the richness of the dynamics that it produces.

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Produces so um metastability is

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the was one of the main themes that i talked about this morning so

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that's one important feature uh which

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is related to um to the size

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of the of the repertoire of different states that the

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system can produce as well so metastability just to

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to spell that out so uh so a

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system is is metastable uh basically if

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it's instead of um instead of falling

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into a stable attractor it rather it

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sort of lingers in the vicinity of an attractor like state

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um without you know stabilizing and

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falling straight right into that attractor um and

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then maybe uh but then maybe moves on to a different attractor

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so um so for uh

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for listeners who who for whom that isn't very

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familiar uh terminology so uh so

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the idea would be uh or one kind of

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attractor state would would be where um where

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all the parts of the brain were all oscillating in synchrony all at the same

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time and of course this never happens and it would be it would be very very

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bad if it did but that would be that's one kind of attractor state that you

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get you can get in dynamical systems is where you've got a whole load of oscillators

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they're all completely synchronized with each other.

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In the brain, I think the kind of dynamics we see is where there's lots of oscillations going on,

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there's lots of patterns of synchrony, but what we're really interested in is

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we're interested in states of partial synchrony, where some parts of the brain

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are synchronized with other parts of the brain.

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That often represents that they're talking to each other.

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And we're also interested in metastable states of synchronization,

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so where it doesn't stay in that exact combination of synchronized parts,

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but that sort of coalition of synchronized parts is like that for a while,

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and then the coalition breaks apart and it finds another state.

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But now you could argue that this metastable state, which is defined in a state

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space, is in some sense arbitrary because as observer,

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I can decide at what level I define my state space and what's metastable at

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one level of description can just be a fixed point attractor at another level of description.

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So do you see that as a problem, this arbitrariness of how we define such a state space?

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Well, it certainly doesn't have to be so arbitrary and there are various ways

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that you can try to quantify it precisely.

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Precisely so uh so one way for example uh

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is to is to look at um uh

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in the case of these coupled oscillators if you

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have a whole collection of oscillators that are say that are that are decoupled

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um then um then there's no connection between them at all really and in that

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case that's that's the sort of um uh the trivial case where where there's not

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going to be any a any um you know,

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synchronization except coincidental synchronization.

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So that's the statistical baseline.

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So if you know, if you're looking at your system and things fall into synchrony.

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A lot more a lot more than you would expect them to uh in in the case of that kind of um,

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that kind of baseline statistics then you know that that's that's serious synchronization

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a serious sort of uh are you are you saying with this meta stability concept that let's say between.

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Stability and complete chaos it's in this intermediate zone that interesting

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things are happening yes that's certainly certainly like an edge of chaos kind

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of it's very much Much related to that, yeah, very much related to that.

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So there is a kind of criticality phenomenon there where the sort of systems

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that you're interested in or the dynamics that you're interested in is poised

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between order and disorder.

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So a highly ordered system will be one that was just, say, completely synchronized,

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and a highly disordered system will be one like the one I just described,

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completely decoupled, there's no relationship between the different oscillators.

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What you're interested in is this state which is between the two where there's

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a certain amount of order and a certain amount of disorder.

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So the parts are sort of interacting with each other, but there isn't one dominant state that persists.

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So now you were defining metastability also in relation to the physiology of

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people like Pascal Friess, who comes from the school of Wolf Singer,

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who sort of ascribe a lot of importance to, let's say, synchronization phenomena in the brain.

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Yeah. So how are these two things now related?

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Yeah, so that's very much the backdrop for the discussion we've just had,

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really, is, so Pascal, according to Pascal Friese's communication through coherence hypothesis.

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Which makes a lot of sense to me, you can think of two populations of neurons

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that are oscillating in synchrony as basically in a position to communicate

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with each other and cooperate with

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each other to influence each other and exchange information and so on.

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Because when the troughs and peaks of their activity coincide,

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then they're in a good position to exchange spikes, so long as all the delays work out and so on.

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So that's the reason why synchronisation is one hypothesis, but it's one reason

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why synchronised collections of neurons might be of interest if you're looking

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at populations on different parts of the brain.

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Counterintuitive because in some sense

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if i would look at these two neurons and i would plot

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their activity over time but against each

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other they might actually be in some sort

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of fixed point they might be in a very limit a limit cycle but it would not

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look like a very variable metastable state so how is then the coherence in gamma

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reflecting this metastability or this criticality phenomena yeah well first

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of all you've got to look at different time scales um.

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So, um, uh, and, and you're also looking at whole populations of neurons.

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So you're certainly not looking at just single neurons, but you're looking at

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populations of neurons.

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So, so you might look at one population of neurons. You might see that the overall

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firing rate, the mean firing rate is oscillating in a, you know,

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for, for a while is oscillating in a really, in a regular kind of way,

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say a gamma type frequency, 40 Hertz or something.

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And, um, and then you've got another population that maybe is also oscillating in the same kind of way.

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And the oscillations are in are in synchrony and then

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then those two populations are in a position to

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exchange information um and so

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that's the kind of situation that that that you're interested in

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now the information is going to be exchanged during those

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little peaks of of of activation and

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during a peak of activation um then that

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whole population is going to be most receptive to incoming spikes

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and is going to be the individual neurons going to be more likely statistically

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more likely to fire than in a trough of

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of activation and so that's why the communication

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can take place you know in that in that time but surely that

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if you're thinking about maximizing the opportunity to fire the postsynaptic

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neuron you don't want to come when it's firing you want to come just a bit before

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that yeah okay that's absolutely true but but but you've uh in within 40 hertz

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you've got quite a few milliseconds uh it's quite a it's a

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it's a little window of opportunity so you want you know the

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timing's got to work out that's that's for sure uh you've

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got a window of opportunity you know um uh so quite

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a lot can happen in that in that little window um uh and uh and also you you've

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also got to worry about the delays so so you know the there are going to be

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delays between uh depending on the length of the connection and the type of

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connection and so on they're going to be delays as well so all of that's got to work out.

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But the point is that it's getting,

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the right relationship in the phase to work out is going to maximize the opportunity

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for information to be exchanged.

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And also, allows for competition.

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So you might have three populations. Two populations are trying to influence

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a third, and one is going to win out by entraining the downstream population.

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Once it's become entrained, then it can shut out the other guy who will end

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end up in the opposite phase of

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the relationship and that's when the information sort of gets exchanged.

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The dominant idea about gamma is that it's very much a locally generated response, right?

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So you have let's say cortical circuits or the hippocampus, it's actually the

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tight coupling of excitatory neurons with local fast GABA-A mediated inhibitory neurons.

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So as soon as you start to drive the excitatory cells they will drive the local

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inhibition that will shut down

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the whole population. So now you get the rhythmicity in the gamma range.

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So you could then first argue, okay, if I have a gamma in two areas,

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it means, okay, there's a drive onto these cells. This is the first thing.

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And then you can say, well, now if these two areas talk to each other,

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okay, by necessity it will happen within this gamma rhythm because they cannot

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fire at any other rhythm, but they become driven.

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Yeah. So then how meaningful is it really to talk about, let's say,

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enhanced communication between areas when gamma becomes more or less coherent?

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Yeah. Well, I think it's particularly meaningful in the context of this kind

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of competition. So where, indeed, you may have….

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You know several populations several neuronal populations are

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all as it were relevant to the ongoing situation so

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if you've got you've got uh uh well

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actually actually an example a potential example is

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binocular rivalry maybe you know about binocular rivalry so where

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you've got two um two gratings one

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horizontal one vertical uh presented to each eye and uh so the right eye can

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see the say the horizontal grating the left eye the vertical grating and uh

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and then there's this binocular rivalry phenomenon whereby you don't see the

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two gratings overlaid on each other, you don't see a crisscross pattern,

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but rather you tend to see consciously or become aware of either one or the other.

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The one will fade in and out while the other one fades in and out.

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So that's known as binocular rivalry.

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That's an example of where there's clearly some competition petition going on

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between rival neuronal populations.

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One way possibly to account for that is in terms of this communication through

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coherence idea, where one population temporarily entrains another population further downstream.

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That dynamics goes on for a little while, but then But then it can sort of burn

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itself out for statistical reasons, basically, because they're equally salient stimuli.

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And then the other population becomes entrained instead.

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And so you have this flickering in and out. And we had a paper in Frontiers

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in Computational Neuroscience paper.

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I had a paper with one of my PhD students, Mark Wildey, where we showed that

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kind of phenomenon in the context of Pascal Frese's ideas.

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So now we know a little bit, let's say, the physiological phenomena we would

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like to understand and explain, right?

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And what you told us is that actually you start to model.

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These large-scale network phenomena with fairly

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abstract oscillator models yeah so so

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why did you make that step yes um i

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think i made that step just because i just fell into it it wasn't really that

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i uh that i i took a uh you know a very carefully um a very careful decision

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about what i should look into next um uh but i mean my you know my background

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is in computer computer modeling.

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So, so my natural, my natural tendency is to tinker with my computer model.

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So I'm sitting there with MATLAB fiddling around and, uh, playing with my computer

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models. And that's what I, that's what I do.

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Um, and then, yeah, but, uh, but, but I'm always vulnerable to,

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you know, there's, so, so a lot of people are interested in that kind of thing

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in its own, in its own right.

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Physicists in particular, you know, kind of quite interested in that sort of thing in its own right.

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But then if you're trying to make a claim about its relevance to brain dynamics

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or cognition or anything like that, then of course you're instantly vulnerable

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to the criticism that, well, where's the data? How does it relate to data?

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And so of course it's very important to try and relate it to real data.

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But in my case it's been a bit back to front, so I was tinkering around with

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the models for a lot and only a little bit later did the opportunity to make

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it match up with real data come in.

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So what are the key parameters that you then fiddle with when you're sitting

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behind MATLAB on your desktop computer in your office?

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Ah, well, so in coming up with that particular model, the metastable chimera

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states, I tinkered with so many things, but particularly with the network construction.

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So, yeah, the sparsity of the network, lots of parameters to do with the network construction. Yeah.

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Yeah, the parameters of the oscillator models, the coupling.

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I mean, there are hundreds of them.

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And of course, if I was a good mathematician, I mean, I'm handicapped by being

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a mediocre mathematician, by not dealing with real data, not being a proper scientist.

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The only thing I'm any good at is programming. So, you know, so you end up tackling,

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it's like Dorothy just now was talking about, you know, if you're a capuchin

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and you see you've got a hammer stone, then you see everything is a nut.

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Well, it's a little bit like that with programming, you know,

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I see everything as a programming problem. Right.

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So, I tend to… But for the model to close that, I think the key parameters you're

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controlling is, let's say, the phase of your oscillators, I guess the transduction

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delay in their interactions,

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these would be roughly the key parameters that would be dominating the properties of your network.

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Yeah, so the coupling, so the two main parameters that we end up with fiddling

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around with are the coupling and the delays.

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I'd just like to go into those models a bit more because one of the things that

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surprised me in your talk was you described some of the history of the study

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of oscillators, which has been going on for hundreds of years.

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But then there's some fairly fundamental discoveries that you have made,

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and I think you mentioned a 2002 paper about properties of oscillators that we didn't know about.

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And uh can you say a bit more about those discoveries why

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didn't we know those things before and uh you

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know is there a lot much more to know about these simple oscillator systems

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i know there are large numbers of oscillators but there seems to be um potentially

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for areas like brain science lots of scope for more uh discoveries in this yeah

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i think i think it's because the so So it's physicists,

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you know, do all the serious,

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you know, legwork with all the heavy lifting with all of these oscillator models.

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And they have a particular mindset which tends to focus in on things like,

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oh, let's look at, you know, let's look at the limiting case where there's an

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infinite number of oscillators, for example.

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Or, you know, let's look at the total, you know, where everything is completely connected.

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And um and and also

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let's look at stability conditions let's look at all these bifurcation diagrams

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and the stability conditions and in fact there's kinds of um dynamics which

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i'm interested in i i don't think they're actually very surprised that they

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exist i just don't think they particularly thought that they were interesting

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uh as is what i i suspect and it's only um.

00:17:00.896 --> 00:17:03.496
But I mean, they seem to be getting interested, because that particular paper

00:17:03.496 --> 00:17:09.156
of mine has been quite well cited by physicists in looking at it, relatively speaking.

00:17:10.436 --> 00:17:14.856
But I think it's partly because they probably knew that these sorts of things

00:17:14.856 --> 00:17:19.836
went on, but they weren't interested in irregular networks that are not homogenous.

00:17:21.576 --> 00:17:24.616
But could you then elaborate a bit what you discovered with this model,

00:17:24.696 --> 00:17:28.236
the so-called Chimera states, and why they are interesting? And perhaps also

00:17:28.236 --> 00:17:31.756
how they relate to different network configurations, because that's obviously

00:17:31.756 --> 00:17:32.976
a key parameter. Yeah, sure.

00:17:33.256 --> 00:17:36.236
So why they're interesting is… Well, maybe first define what they are.

00:17:36.236 --> 00:17:44.056
So these chimera states is where you have a set of oscillators that basically

00:17:44.056 --> 00:17:47.556
partitions into two or more subsets,

00:17:47.636 --> 00:17:51.276
well, two subsets really,

00:17:51.376 --> 00:17:55.396
where one of them is synchronized and the other is desynchronized.

00:17:55.496 --> 00:17:56.796
So that's a chimera state.

00:17:57.976 --> 00:18:01.356
When these were first discovered by the physicists, I think they found it quite

00:18:01.356 --> 00:18:06.136
surprising that these things could exist, especially because they had very homogenous

00:18:06.136 --> 00:18:10.776
connectivity in those ones that they were looking at. So they were a bit surprised by that.

00:18:12.156 --> 00:18:15.416
This is certainly of interest from the perspective of brain dynamics,

00:18:15.516 --> 00:18:20.476
because you're not really interested in states either where there's no synchrony,

00:18:20.476 --> 00:18:23.596
because nothing's happening of interest at all there in the brain.

00:18:23.896 --> 00:18:26.536
Nor are you interested in the case where everything is synchronized because

00:18:26.536 --> 00:18:30.936
that's basically seizure and nothing interesting is happening either.

00:18:31.056 --> 00:18:35.476
You're interested in the case where some populations are synchronized and some

00:18:35.476 --> 00:18:39.136
are not, and the ones that are synchronized are the ones that are governing behavior.

00:18:40.650 --> 00:18:48.430
So we should try and relate this maybe a little bit to the behavior of animals,

00:18:48.750 --> 00:18:50.830
right? Because we've been talking very abstract terms so far.

00:18:51.230 --> 00:18:54.950
I think the key thing about your Chimera states was also you see there's a signature

00:18:54.950 --> 00:18:59.390
of, let's say, a network property, right?

00:18:59.430 --> 00:19:02.930
Where you would say, well, now I start to get minorities, if you want,

00:19:03.110 --> 00:19:06.790
in the whole population of oscillators that start to, let's say,

00:19:06.830 --> 00:19:10.250
be out of phase with the majority. Yeah, that's right.

00:19:10.750 --> 00:19:13.990
Well, actually, I think it's the minority that are going to be synchronized,

00:19:14.030 --> 00:19:17.890
and the majority are going to be… Oh, your data looks a bit different, I must say.

00:19:17.930 --> 00:19:22.150
The data, in that particular model, it's usually about half and half, actually.

00:19:22.330 --> 00:19:26.430
So in that particular model, about half the oscillators end up synchronized

00:19:26.430 --> 00:19:29.430
with each other, and about half end up desynchronized.

00:19:30.090 --> 00:19:34.390
But I think in real data, you probably expect a smaller set to be synchronized

00:19:34.390 --> 00:19:36.970
and to be governing the behavior of the animal at that time.

00:19:37.090 --> 00:19:39.710
That's also the link to your meta-stability, right? Where you say,

00:19:39.750 --> 00:19:44.430
look, we want to be in between order and chaos, which would roughly be expressed

00:19:44.430 --> 00:19:46.470
in such a network as these chimera states.

00:19:46.630 --> 00:19:50.050
You say, look, now I'm at this critical point where interesting stuff can happen.

00:19:50.230 --> 00:19:52.590
Yeah, but it's not just the chimera states, it's the metastability,

00:19:52.770 --> 00:19:57.330
because you don't want to be stuck in one chimera state either. Sure, absolutely.

00:19:57.510 --> 00:20:03.550
You want that particular coalition of synchronized oscillators,

00:20:03.670 --> 00:20:05.770
you don't want that to be the same one forever.

00:20:05.770 --> 00:20:08.710
It's doing its thing for a while and then you're expected

00:20:08.710 --> 00:20:11.470
to break apart and then another coalition of oscillators so a different

00:20:11.470 --> 00:20:14.990
chimera state to arise exactly but you've got this

00:20:14.990 --> 00:20:20.910
uh minority group of coupled uh oscillators and then you say these ones synchronize

00:20:20.910 --> 00:20:25.310
these ones that are desynchronized what do you think they're doing are they

00:20:25.310 --> 00:20:28.870
just well they're along in the background but not having any influence well

00:20:28.870 --> 00:20:32.990
that's i think that's exactly what they're what they're doing so So any evidence for that?

00:20:34.470 --> 00:20:44.230
Well, I mean, things that are not synchronized or not even exhibiting regular oscillatory behavior,

00:20:44.530 --> 00:20:50.350
I mean, that's mostly what's going on in the brain, right? Right.

00:20:50.830 --> 00:20:55.590
But I mean, I wouldn't want to go as far and say that things that aren't oscillatory

00:20:55.590 --> 00:20:58.790
aren't of importance. Most of the sensory events aren't oscillatory.

00:20:59.010 --> 00:21:02.250
No, no, sure. Okay, sure, sure. Sure, sure, that's true.

00:21:04.710 --> 00:21:10.490
Yes, I think, I mean, I see it as, I mean, this is a hypothesis that,

00:21:10.510 --> 00:21:16.610
you know, demands empirical validation, but I see it as a mechanism for communication,

00:21:17.490 --> 00:21:22.470
and cooperation among populations that are anatomically distributed around the brain.

00:21:22.970 --> 00:21:26.510
So I think we should talk a bit about behavior, right? Because all this has been very abstract.

00:21:26.690 --> 00:21:29.890
Before we come to behavior, though, when you're saying, okay,

00:21:29.950 --> 00:21:35.390
the interesting stuff, happens in the synchronized oscillators yeah is that

00:21:35.390 --> 00:21:39.790
because you have some fundamental theory about brain hardware that you know.

00:21:40.551 --> 00:21:45.691
Perhaps goes beyond this information transmission thing i mean so what's happening

00:21:45.691 --> 00:21:49.611
in the oscillation is information is being passed across the network but these

00:21:49.611 --> 00:21:53.811
other decoupled ones are still processing information perhaps and passing it

00:21:53.811 --> 00:21:58.031
around and i'm just not clear why that wouldn't be important or.

00:21:58.411 --> 00:22:01.431
I'm not saying it's not important i mean i i i'm very

00:22:01.431 --> 00:22:04.431
much um uh you know against the idea

00:22:04.431 --> 00:22:07.391
of of saying there's one mechanism to

00:22:07.391 --> 00:22:10.551
rule them all in the brain because everything i mean

00:22:10.551 --> 00:22:13.231
i i come to the brain as an engineer and i'm

00:22:13.231 --> 00:22:16.111
constantly trying to do that and that's because that's

00:22:16.111 --> 00:22:19.131
my background and training you want some kind of set of engineering principles that

00:22:19.131 --> 00:22:22.171
you want to squeeze the brain into and i'm constantly being

00:22:22.171 --> 00:22:24.851
brought up short and made to realize that no in fact what you

00:22:24.851 --> 00:22:27.591
thought was a principle is only you know is only a

00:22:27.591 --> 00:22:30.251
statistical tendency and in fact there's much more of a

00:22:30.251 --> 00:22:33.551
mess there so uh so i think this is one mechanism that

00:22:33.551 --> 00:22:36.191
may be quite important you know in

00:22:36.191 --> 00:22:39.111
the brain but I wouldn't want to say it's the only one on by any

00:22:39.111 --> 00:22:42.091
means right I was just wondering if there's some kind of thing about clock speed

00:22:42.091 --> 00:22:46.211
or whatever going on in the brain here that you think might be interesting oh

00:22:46.211 --> 00:22:50.591
well I think there is actually as as Paul was saying earlier on there is actually

00:22:50.591 --> 00:22:55.571
an inherent tendency for these systems to enter oscillatory regimes when they're

00:22:55.571 --> 00:23:00.231
driven and if you when you build models you see this pretty quickly you build a

00:23:00.471 --> 00:23:02.591
model, say, with spiking neurons.

00:23:02.931 --> 00:23:09.671
And there's a lot of excitatory connections there, and you drive it,

00:23:09.731 --> 00:23:11.471
it's going to naturally start to oscillate.

00:23:11.551 --> 00:23:17.171
And if you've got broadly biologically accurate parameters for your spiking

00:23:17.171 --> 00:23:20.991
neurons, it does tend to oscillate in around about the gamma frequency.

00:23:21.211 --> 00:23:27.691
It just does that. So that probably falls a little bit out of the neurobiology,

00:23:27.691 --> 00:23:33.951
out of the biology and then I suspect that the brain is going to fight I think

00:23:33.951 --> 00:23:34.871
whatever rich technology.

00:23:35.384 --> 00:23:38.264
Possibilities for dynamics you've got in the brain the brain

00:23:38.264 --> 00:23:41.464
and evolution are going to find some way of exploiting them so so

00:23:41.464 --> 00:23:44.764
you've got these oscillating things going on and

00:23:44.764 --> 00:23:47.904
the brain is going to find a way of exploiting these potential the potential

00:23:47.904 --> 00:23:51.144
of this and i think one way is is that it facilitates

00:23:51.144 --> 00:23:55.264
competition and cooperation among anatomically

00:23:55.264 --> 00:23:58.004
distributed populations that raises on the next question right whether these

00:23:58.004 --> 00:24:01.104
chimera states would also just drop out

00:24:01.104 --> 00:24:04.244
of the kind of local circuitry of

00:24:04.244 --> 00:24:07.264
cortical networks in the same way gamma just you get

00:24:07.264 --> 00:24:10.064
it for free or whether something else is required

00:24:10.064 --> 00:24:15.744
for that yeah yeah yeah um that's a very good question i suspect that they probably

00:24:15.744 --> 00:24:22.124
do drop out but i would uh but i would that would that's a very good question

00:24:22.124 --> 00:24:27.044
it would be good to construct models that prove that prove that i mean one reason

00:24:27.044 --> 00:24:28.564
why they might drop out is is because,

00:24:28.664 --> 00:24:34.084
I mean, another thing I've noticed is that in competitive mechanisms,

00:24:34.224 --> 00:24:38.084
you try and build some kind of competitive winner-takes-all mechanism.

00:24:38.224 --> 00:24:41.444
I mean, Tony might well know about this as well. But you've got to build it

00:24:41.444 --> 00:24:44.624
in a very particular kind of way to make the winner persist,

00:24:44.924 --> 00:24:46.644
really persist indefinitely.

00:24:46.864 --> 00:24:49.864
And it doesn't take much, especially if you've got small populations of neurons,

00:24:49.944 --> 00:24:54.844
for a bit of statistical variation to flip the winner to the other one,

00:24:55.244 --> 00:24:57.324
if you've got two, you know, you've got two rivals.

00:24:58.224 --> 00:25:01.444
And so that's, again, I think is a natural property.

00:25:01.584 --> 00:25:10.204
So that does lead pretty naturally to these kind of chimera states and flipping between them.

00:25:10.564 --> 00:25:15.024
But now the next thing you did is essentially you took like the state of the

00:25:15.024 --> 00:25:21.244
art, if you want, on human brain connectivity, like the human connectome and

00:25:21.244 --> 00:25:22.564
its different statistical properties.

00:25:22.564 --> 00:25:26.344
And we had an interesting discussion about how to interpret that this morning,

00:25:26.444 --> 00:25:28.124
but we don't have to get into that.

00:25:30.424 --> 00:25:37.744
If you now combine these dynamics and the notions of criticality with our understanding

00:25:37.744 --> 00:25:41.164
of the human brain, right? So you build these kinds of models. What happened?

00:25:42.144 --> 00:25:49.504
Well, so the credit really has to go to the people from here in Barcelona who did this first of all.

00:25:49.724 --> 00:25:54.924
Gustavo Deco's group and Joanna Cabral, who built a model based on the Hagman

00:25:54.924 --> 00:25:58.104
dataset, where they used the Hagman connectivity dataset.

00:25:58.104 --> 00:26:02.284
Set and basically put one of these oscillators, Kuramoto oscillators of the

00:26:02.284 --> 00:26:06.844
type that I was playing with, one on each of the nodes in Hagman's network.

00:26:07.184 --> 00:26:11.124
So it's very, very similar to the thing that I built, but the thing that I built

00:26:11.124 --> 00:26:13.884
used a completely synthetic network.

00:26:14.144 --> 00:26:19.224
It was a synthetic network that had some brain-like features such as modularity,

00:26:19.304 --> 00:26:21.804
but it was just a little constructed by an algorithm.

00:26:22.024 --> 00:26:26.904
Now, they did it with a real DTI-based dataset.

00:26:27.644 --> 00:26:33.084
Then the interesting thing was that they showed that they were able to produce

00:26:33.084 --> 00:26:39.784
a strong correlation with resting-state fMRI data.

00:26:41.504 --> 00:26:46.044
I have to say that it did rather surprise me, and it pleased me enormously that

00:26:46.124 --> 00:26:50.324
this only happens when it's in this metastable chimera state,

00:26:51.304 --> 00:26:53.324
exhibiting this metastable chimera state dynamics.

00:26:53.644 --> 00:26:59.544
So the kind of dynamics that I had found in my model, and nobody really had

00:26:59.544 --> 00:27:02.784
published anything showing that Kuramoto models could produce this.

00:27:02.884 --> 00:27:05.164
Although, as I say, I think the physicists really knew it. They just didn't

00:27:05.164 --> 00:27:05.904
think it was interesting enough.

00:27:06.164 --> 00:27:09.984
But the amazing thing was just to find that somebody could show that it could

00:27:09.984 --> 00:27:13.204
be used to model real data, and only if it was in that regime.

00:27:13.204 --> 00:27:18.444
I would like to push you on that a little bit more, because you could argue,

00:27:18.504 --> 00:27:22.324
look, to get to something like the dynamics of a resting state network.

00:27:23.538 --> 00:27:27.838
The key thing is that you get your connectivity defined. So then in this case,

00:27:27.858 --> 00:27:32.318
you take this notion of functional connectivity, which is a statistical structure of interactions.

00:27:33.978 --> 00:27:39.918
You exploit that to seed the topology of your network.

00:27:40.238 --> 00:27:42.178
But in this case, it's structural connectivity.

00:27:42.518 --> 00:27:45.358
So they were using a structural connectivity. So you have your structural connectivity,

00:27:45.658 --> 00:27:48.538
and you start to drive it now.

00:27:49.318 --> 00:27:54.538
Couldn't you argue that any kind of activity model, Even a rate-based model,

00:27:54.698 --> 00:27:57.318
a linear threshold unit,

00:27:57.538 --> 00:28:02.298
would be able to give you a resting state kind of pattern because the secret

00:28:02.298 --> 00:28:04.978
is in the connectivity and not in the dynamics of the nodes.

00:28:04.978 --> 00:28:07.278
Yeah, that may well be the case.

00:28:07.398 --> 00:28:12.538
And indeed, other people, including, again, Gustavo Deco's group,

00:28:12.598 --> 00:28:15.758
have used different kinds of dynamical models.

00:28:17.318 --> 00:28:21.038
But few of them are simpler than this Kuramoto model.

00:28:21.318 --> 00:28:28.138
I mean, it's about as simple as you can get and produce interesting kinds of results, I think.

00:28:28.218 --> 00:28:31.058
So that's what strikes me. so the the data

00:28:31.058 --> 00:28:33.858
set that you're looking at there is fmri which of course

00:28:33.858 --> 00:28:36.798
doesn't really have the temporal resolution to look at

00:28:36.798 --> 00:28:39.538
things like oscillations so i mean can

00:28:39.538 --> 00:28:43.578
you impact unpack for us a little bit how

00:28:43.578 --> 00:28:46.338
that data really validates the model because obviously you're looking

00:28:46.338 --> 00:28:49.178
indirectly for evidence for the kind of states that

00:28:49.178 --> 00:28:52.118
your model is creating yeah so so so

00:28:52.118 --> 00:28:55.478
we're looking at so in this kind of this kind of work um

00:28:55.478 --> 00:28:58.298
you're looking at how the you know the model over

00:28:58.298 --> 00:29:01.438
a long run over quite a long run so the

00:29:01.438 --> 00:29:04.258
model itself is oscillating at a gamma a gamma

00:29:04.258 --> 00:29:07.858
frequency but it's producing a phenomena at

00:29:07.858 --> 00:29:11.158
a much slower um you know it's producing dynamical

00:29:11.158 --> 00:29:14.238
phenomena at a much slower rate as well where where large you

00:29:14.238 --> 00:29:18.178
know groups will synchronize for a while and then that synchrony will then go

00:29:18.178 --> 00:29:23.198
away so that is happening at a much slower rate so there's a slower dynamics

00:29:23.198 --> 00:29:27.058
which you can then look so there's slower dynamics yeah so so so so the actual

00:29:27.058 --> 00:29:31.158
model is constructed at the level of this faster dynamics,

00:29:31.338 --> 00:29:33.398
but the results that you produce.

00:29:34.158 --> 00:29:37.498
Are at the level of the slower dynamics. So that's where you're making the matches.

00:29:38.257 --> 00:29:42.837
And what are the phenomena at this slower rate that you're matching on?

00:29:43.157 --> 00:29:47.397
So, well, you'd have to ask my co-authors exactly what's going on.

00:29:47.397 --> 00:29:48.597
But there's an issue here, right?

00:29:48.617 --> 00:29:52.177
Because, as you know, there's quite a discussion again now about what are we

00:29:52.177 --> 00:29:53.857
really measuring with fMRI. Yeah, sure.

00:29:54.077 --> 00:29:57.077
And there's some correlation with blood flow.

00:29:57.197 --> 00:30:00.557
But actually, the link to neural activity is still being debated.

00:30:00.557 --> 00:30:05.977
So now, at best, with your oscillator model, you capture, let's say,

00:30:06.037 --> 00:30:11.197
the hemodynamics that are sort of indirectly reflecting something neural that

00:30:11.197 --> 00:30:12.677
we don't really understand yet.

00:30:13.337 --> 00:30:16.677
On the other hand, the origin of your model was neurophysiology,

00:30:16.937 --> 00:30:21.217
a very different level of description, both spatially and temporally,

00:30:21.257 --> 00:30:24.317
because now we're talking about single cells doing things.

00:30:24.317 --> 00:30:27.377
Things right so isn't it quite a stretch to actually

00:30:27.377 --> 00:30:33.117
first say ah and i capture pascal frees's synchronization gamma range communication

00:30:33.117 --> 00:30:38.217
data and explain it yeah and on top of that i also give you now here the whole

00:30:38.217 --> 00:30:41.877
human fmri yeah well actually the origin of the model is a little bit higher

00:30:41.877 --> 00:30:46.797
level than that so you're really talking about populations of of neurons so if you're,

00:30:47.357 --> 00:30:50.477
so what you what you might maintain that one oscillator

00:30:50.477 --> 00:30:53.217
represents would be the activity of a quite a

00:30:53.217 --> 00:30:56.537
large population of of neurons exhibiting a

00:30:56.537 --> 00:30:59.437
gamma type uh uh bit uh you

00:30:59.437 --> 00:31:02.137
know dynamics right but but uh you know i have to say

00:31:02.137 --> 00:31:06.737
i have to i completely agree with you i i i it came as a total surprise to me

00:31:06.737 --> 00:31:10.997
that you could use this kind of model in this sort of way and that it would

00:31:10.997 --> 00:31:17.737
actually um uh match uh the data you know um so but your closest link with the

00:31:17.737 --> 00:31:19.597
data is more at this fMRI level.

00:31:20.277 --> 00:31:24.177
Than at the neurophysiological level where we look at direct cell...

00:31:24.177 --> 00:31:28.637
Well, indeed, but that's only because those are the only experiments that people

00:31:28.637 --> 00:31:32.357
have, where they've tried to make the match, as far as I'm aware.

00:31:32.777 --> 00:31:36.997
I'd be very interested indeed to do it at a lower level.

00:31:38.337 --> 00:31:41.657
Right, but now the other thing is that if you go for the whole,

00:31:41.717 --> 00:31:46.417
let's say, populations, where we talk about, let's say, cubic millimeters of

00:31:46.417 --> 00:31:51.077
cell volume that we're measuring with fMRI.

00:31:52.537 --> 00:31:57.177
So if we describe that as an oscillator model, then what we're capturing is

00:31:57.177 --> 00:32:00.017
the activity of millions of neurons of very heterogeneous types.

00:32:03.589 --> 00:32:07.569
Also, the dynamics of these neurons might be much more heterogeneous than your model captures.

00:32:07.709 --> 00:32:11.709
Absolutely, yeah. Like if you look at gamma, and say, okay, gamma is locally driven, right?

00:32:11.749 --> 00:32:14.969
You might actually have all sorts of subpopulations of cells and all sorts of

00:32:14.969 --> 00:32:20.849
complex dynamical relations, metastable or not, that you're completely blind to. Yeah, absolutely.

00:32:21.249 --> 00:32:24.529
So how are we going to cross that bridge now? Well, I think by,

00:32:24.669 --> 00:32:29.429
I mean, as I said quite early in my talk today, that I did actually start off

00:32:29.429 --> 00:32:34.649
with spiking neuron models and showed how the spiking neuron models produced

00:32:34.649 --> 00:32:37.249
a kind of dynamics that I was interested in,

00:32:37.289 --> 00:32:40.009
or complex dynamics that I was interested in.

00:32:40.089 --> 00:32:44.229
And people were saying to me, oh, why do you need all the complexity of these spiking neurons?

00:32:44.369 --> 00:32:48.149
Why not do it with a simpler model? So I thought, okay, I'll give that a go.

00:32:48.309 --> 00:32:53.589
And so I moved, I went up a layer of abstraction and moved to these oscillator

00:32:53.589 --> 00:32:57.389
models and kind of got drawn into that because it's a whole world in itself.

00:32:57.949 --> 00:33:03.489
But I do very much think it's a good idea to go back down again and to build

00:33:03.489 --> 00:33:06.829
larger scale spiking models than the ones I was doing before.

00:33:07.009 --> 00:33:10.169
And I have a PhD student, David Baumig, who's done a lot of work.

00:33:10.389 --> 00:33:13.989
And there's a PLOS paper last year that describes exactly that.

00:33:14.069 --> 00:33:17.669
So you've got a much richer variety of phenomena, in fact, with lots of different

00:33:17.669 --> 00:33:21.769
frequencies interrelating in different ways. Right, exactly.

00:33:22.009 --> 00:33:26.169
Is there some possibility that you might see metastability at different spatial

00:33:26.169 --> 00:33:28.189
scales in the brain? Oh, absolutely.

00:33:28.469 --> 00:33:31.169
In fact, I would be astonished if you didn't.

00:33:31.849 --> 00:33:36.889
Right. So here we are. You still have a model that's actually pretty powerful

00:33:36.889 --> 00:33:41.249
in capturing data and describing and interpreting some of this data on the brain.

00:33:41.409 --> 00:33:45.329
And now you're also applying that to sort of pretty extreme states in which

00:33:45.329 --> 00:33:49.629
we can push your brain like under a cello bison.

00:33:50.089 --> 00:33:52.589
Celocibin, yeah. Celocibin, sorry. Yeah.

00:33:54.263 --> 00:33:58.343
So how has the model helped you to understand the dynamics that you would induce

00:33:58.343 --> 00:34:00.423
with magic mushrooms? Yeah.

00:34:01.183 --> 00:34:04.223
Can I give a little bit of background there?

00:34:04.403 --> 00:34:09.323
One of my colleagues at Imperial College, Robin Carr-Harris,

00:34:09.443 --> 00:34:15.303
has done some pioneering work with psilocybin, which is the active ingredient of magic mushrooms,

00:34:15.583 --> 00:34:21.363
where subjects are administered with a psilocybin preparation,

00:34:21.503 --> 00:34:25.263
and then you do functional MRI on the subjects.

00:34:25.263 --> 00:34:35.363
And you can interpret the results as an increase in metastability,

00:34:35.723 --> 00:34:45.643
which in turn you can interpret in terms of a larger variety of states being produced,

00:34:45.963 --> 00:34:50.743
flipping between a larger variety of states.

00:34:50.743 --> 00:34:54.883
So you can kind of explain some of these results, some of the dynamics that

00:34:54.883 --> 00:35:00.303
you see under psilocybin as moving to a more extreme version of the metastable

00:35:00.303 --> 00:35:03.003
regime that was identified in this model.

00:35:03.843 --> 00:35:10.223
And Robin Carhart-Harris is quite amenable to this kind of interpretation,

00:35:10.423 --> 00:35:14.443
and we had a joint paper in Frontiers describing that kind of interpretation.

00:35:14.443 --> 00:35:17.983
Interpretation and um um so but

00:35:17.983 --> 00:35:20.663
i think the uh i think a lot of and so we're trying to

00:35:20.663 --> 00:35:24.403
apply the model to that as well but i think that it's it's very much work in

00:35:24.403 --> 00:35:28.523
progress and we have to in fact i think the application of this whole methodology

00:35:28.523 --> 00:35:33.763
is very much a work in progress i mean we have to uh uh you know um refine it

00:35:33.763 --> 00:35:38.943
a good deal before it becomes really accepted okay you said before

00:35:39.063 --> 00:35:43.163
you wanted to bring this back to behavior and one of the ways that i expect

00:35:43.163 --> 00:35:47.183
you will do that is through the work that you've done on on cognitive architecture

00:35:47.183 --> 00:35:52.623
which is thinking much more about function of brain circuits particularly cortical

00:35:52.623 --> 00:35:57.283
circuits so could you say a bit more about first of all.

00:35:57.945 --> 00:36:01.705
The ideas of cognitive architecture that you're interested in and how that might

00:36:01.705 --> 00:36:03.545
mesh with this work on oscillators.

00:36:03.765 --> 00:36:07.905
Yeah. Well, one of the really fundamental problems that I've been interested

00:36:07.905 --> 00:36:16.405
in for a while is how it is that a novel coalition of processes can form,

00:36:16.745 --> 00:36:18.225
can sort of coalesce out of,

00:36:18.825 --> 00:36:23.845
nowhere to deal with a situation that's never been encountered before.

00:36:24.345 --> 00:36:30.945
And that's clearly, Clearly, I think that's clearly at the root of human level cognition.

00:36:31.225 --> 00:36:36.985
Well, actually, maybe even some animals, some non-human animals can do this as well.

00:36:37.805 --> 00:36:46.065
And so I see the rich dynamics that I've been talking about here as a way of

00:36:46.065 --> 00:36:47.345
maybe addressing that kind of problem.

00:36:47.505 --> 00:36:51.365
And it also relates to the kind of cognitive architecture that I've been interested in.

00:36:52.465 --> 00:36:56.265
So I've been interested in global workspace architectures,

00:36:56.285 --> 00:37:00.045
you can relate global workspace architectures to a certain kind of connectivity

00:37:00.045 --> 00:37:06.765
in the brain where you have a connective core of hub regions which perhaps can

00:37:06.765 --> 00:37:10.125
facilitate coalition formation,

00:37:10.405 --> 00:37:14.885
in particular the formation of novel coalitions to deal with a new kind of situation.

00:37:15.205 --> 00:37:19.825
So it's this formation of novel coalitions which I

00:37:19.825 --> 00:37:22.565
i think is quite difficult to account for and that's the kind of thing

00:37:22.565 --> 00:37:25.285
that i'm that ultimately i'd really like to be able

00:37:25.285 --> 00:37:28.245
to model so that the connective core that you're talking about

00:37:28.245 --> 00:37:30.945
there is is the bit that's actually active when we're

00:37:30.945 --> 00:37:33.865
not doing anything which has you know external where

00:37:33.865 --> 00:37:36.585
we seem to be thinking rather than attending yeah and is

00:37:36.585 --> 00:37:41.705
that right so what kinds of activities that humans do do you think we're going

00:37:41.705 --> 00:37:45.385
to understand better through this well it probably Probably the kinds of activities

00:37:45.385 --> 00:37:51.225
where you're confronted with a novel situation and you have to pause for a second

00:37:51.225 --> 00:37:56.045
and sit back and think and stare at it and then suddenly, aha,

00:37:56.385 --> 00:38:01.525
a solution has come as if from nowhere.

00:38:01.525 --> 00:38:14.045
And so I think that probably is engaging a sort of mode, a dynamical mode, that enables.

00:38:15.945 --> 00:38:19.785
Processes to talk to each other and form a novel coalition that otherwise they

00:38:19.785 --> 00:38:20.685
wouldn't have been able to do.

00:38:20.865 --> 00:38:27.265
And I suspect that they can do this via these sort of centralized regions in

00:38:27.265 --> 00:38:32.685
the human human brain but then we still don't have behavior so what's it we have a kind of a.

00:38:33.729 --> 00:38:36.849
An unobservable behavior so you've got reflection so

00:38:36.849 --> 00:38:40.009
that's the point we want to get to what's the overt behavior

00:38:40.009 --> 00:38:42.969
we're going to then explain with that right yeah well i mean uh so

00:38:42.969 --> 00:38:45.969
so i i say you know i was caricaturing a

00:38:45.969 --> 00:38:49.049
little a little bit by saying you take you sit back and you say

00:38:49.049 --> 00:38:51.929
aha but i think if i mean you've probably seen

00:38:51.929 --> 00:38:55.589
this famous uh video of betty the crow uh bending

00:38:55.589 --> 00:38:59.089
the hook for the first time to retrieve the bucket and

00:38:59.089 --> 00:39:01.909
i you know of course you can ask questions about

00:39:01.909 --> 00:39:04.629
that experiment because it's hard to reproduce that kind of experiment but

00:39:04.629 --> 00:39:07.909
if we take that that bit of behavior at face value i think

00:39:07.909 --> 00:39:10.669
something interesting is going on there or when

00:39:10.669 --> 00:39:14.589
children solve the same problem because you can reproduce that that they'll

00:39:14.589 --> 00:39:18.129
they'll play around they'll play around and maybe there's a you know maybe you'll

00:39:18.129 --> 00:39:21.369
see this physically but maybe i'm not maybe you won't but there'll be a little

00:39:21.369 --> 00:39:26.389
moment when uh when their brain is going to when maybe they actually pause but

00:39:26.389 --> 00:39:29.329
their brain is going to go into a um a mode where.

00:39:30.029 --> 00:39:37.089
Where a new combination of processes can come together and then it's going to lock onto that.

00:39:37.509 --> 00:39:40.669
Somehow the brain, as it were, knows that that's the right solution.

00:39:40.689 --> 00:39:44.229
That's the sort of aha moment. It locks onto that possibility and of course

00:39:44.229 --> 00:39:45.369
it's going to do it straight away.

00:39:46.009 --> 00:39:53.329
And that phenomenon in the brain, I think, is key, absolutely key to understanding

00:39:53.329 --> 00:39:55.209
human-level cognition.

00:39:55.689 --> 00:40:00.129
I think it's as important as insight. It's as important as language,

00:40:00.329 --> 00:40:04.229
I think, and if not more important than language.

00:40:04.369 --> 00:40:09.189
And that's what I'd really like to be able to understand and capture in a model. Okay.

00:40:09.909 --> 00:40:16.029
So then, Murray, being an engineer and trying to understand the brain using

00:40:16.029 --> 00:40:21.889
these kinds of models and actually covering quite a range of phenomena, phenomena,

00:40:22.009 --> 00:40:29.109
what would be Murray's law that we have to adhere to to study the brain?

00:40:30.084 --> 00:40:38.464
I don't think i'm entitled to coin you are now you're now uh i think i think it would be,

00:40:39.204 --> 00:40:42.284
um play one word law

00:40:42.284 --> 00:40:45.564
play play with your models and make

00:40:45.564 --> 00:40:48.804
your models play okay i think playfulness in

00:40:48.804 --> 00:40:51.744
in as as a scientist uh and engineer

00:40:51.744 --> 00:40:54.644
um and playfulness in the models they're

00:40:54.644 --> 00:40:58.964
in a sense they're the same thing right we're being creative and

00:40:58.964 --> 00:41:02.144
create the root of creativity and the creative things

00:41:02.144 --> 00:41:05.604
we want to create is playfulness now the

00:41:05.604 --> 00:41:08.464
other thing is that tony and i trying to control the

00:41:08.464 --> 00:41:14.464
future so um that's why we have tony check the predictions people make and since

00:41:14.464 --> 00:41:18.164
he can just take a train from sheffield to london so we can save money that

00:41:18.164 --> 00:41:21.724
way the question is four years from now tony's tony's going to come visit your

00:41:21.724 --> 00:41:24.944
lab there at imperial and he's going to say look Look, you know,

00:41:24.964 --> 00:41:26.544
four years ago on this podcast interview,

00:41:26.724 --> 00:41:29.664
you made this prediction to them checking whether it was validated.

00:41:29.924 --> 00:41:33.024
What's the one prediction, concrete prediction you could make?

00:41:33.164 --> 00:41:37.444
I think it's that I'll have no more funding to address this issue than I do now.

00:41:40.884 --> 00:41:45.364
We hope that isn't true. All right, Ray Shannon, thank you very much for this conversation.

00:41:48.764 --> 00:41:54.604
I was queued up for that question. The CSN podcast was produced by the Convergent

00:41:54.604 --> 00:42:00.724
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00:42:00.724 --> 00:42:03.324
European Sevens Research Framework Program.

00:42:04.904 --> 00:42:10.204
For more interviews, recorded lectures, or upcoming conferences in the field

00:42:10.204 --> 00:42:16.444
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00:42:16.400 --> 00:42:25.360
Music.