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I wonder how stable the brain is as a dynamical system. In other words, how important the state (current activation) of the brain is for its further functioning. Would the brain recover from a state of zero or random activity given sensible inputs from the environment, e.g. visual and auditory input?

By zero activity I mean equilibrium potential everywhere and no spikes. By random activity I mean independent random potentials and thus an initially random spike pattern.

Of course, normal brain activity is needed to keep people alive (e.g. control breathing) but maybe there were cases where machines ensured vital control for brain-dead subjects or computer simulations of neuronal brain models. An answer from either view would be interesting.

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    $\begingroup$ @Christiaan I'm deliberately not talkig about dead brains. In a working brain, neurons are firing and that firing has a (complicated) underlying structure. By no activity I mean all neurons have equilibrium potentials and are not firing. By random activity I mean all the neuron's potentials being independently sampled from the same distribution, so some neurons will fire but the underlying structure is random. $\endgroup$
    – danijar
    Commented May 26, 2016 at 0:04
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    $\begingroup$ The zero activity is what I cannot place in a physiological context and hence makes this question pob. The stochastic random state is also ill-defined. They are both hypothetical states with no physiological reference and hence this question, imho, cannot be answered other than by opinion-based answers. $\endgroup$
    – AliceD
    Commented May 26, 2016 at 7:18
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    $\begingroup$ @Christiaan Then the answer to my question might not me known, but that doesn't make it ill-defined. In computational neuroscience people build models and simulate them. In those models, it might be possible to simulate zero/random states after normal simulation. It would also be interesting in what state those simulations start. $\endgroup$
    – danijar
    Commented May 26, 2016 at 8:39
  • $\begingroup$ Then again, I would recommend to expand on ...and assume machines ensuring the vital control and frame this question form a brain-death state. Good luck with this and thanks for the exchange. $\endgroup$
    – AliceD
    Commented May 26, 2016 at 8:46
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    $\begingroup$ This question seems related: Where would a cognitively separated person get their brain signals excited from? $\endgroup$
    – Steven Jeuris
    Commented May 26, 2016 at 13:04

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There is no such thing as "zero" activity in regards to brain circuits. Even when you record neurons from a brain slice in vitro, you have spontaneous network activity. There is a few studies that suggest that brain circuits are chaotic, where infinitesimal difference in the initial state will lead to exponentially diverging patterns of activity:

  • Banerjee, A., Seriès, P., & Pouget, A. (2008). Dynamical constraints on using precise spike timing to compute in recurrent cortical networks. Neural Computation, 20(4), 974–993.
  • London, M., Roth, A., Beeren, L., Häusser, M., & Latham, P. E. (2010). Sensitivity to perturbations in vivo implies high noise and suggests rate coding in cortex. Nature, 466(7302), 123–127.

To answer your question, the interaction between the internal state of a system and external stimuli is an important topic in neuroscience, and it is not clear how internally and externally generated dynamics interact. Here is a paper that discuss it under the term of "state-dependent computing":

  • Buonomano, D. V., & Maass, W. (2009). State-dependent computations: spatiotemporal processing in cortical networks. Nature Reviews Neuroscience, 10(2), 113–125.

And there are multiple studies investigating spontaneous brain activity:

  • Foster, B. L., He, B. J., Honey, C. J., Jerbi, K., Maier, A., & Saalmann, Y. B. (2016). Spontaneous Neural Dynamics and Multi-scale Network Organization. Frontiers in Systems Neuroscience, 10.

Hope it helps answer your question.

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Based on computational models of resting brain activity, it can be assumed that the brain is a multistable dynamical systems that operates on the edge of a "critical" bifurcation point seperating a low firing spontaneous state (which can be seen as more or less random low firing activity) from a state of high frequency activity.

see for example the work from Deco et al. or Hansen et al.:

  • Deco, G., & Jirsa, V. K. (2012). Ongoing cortical activity at rest: criticality, multistability, and ghost attractors. The Journal of Neuroscience : The Official Journal of the Society for Neuroscience, 32(10), 3366–75. doi:10.1523/JNEUROSCI.2523-11.2012
  • Deco, G., Ponce-Alvarez, A., Mantini, D., Romani, G. L., Hagmann, P., & Corbetta, M. (2013). Resting-state functional connectivity emerges from structurally and dynamically shaped slow linear fluctuations. The Journal of Neuroscience : The Official Journal of the Society for Neuroscience, 33(27), 11239–52. doi:10.1523/JNEUROSCI.1091-13.2013
  • Deco, G., Jirsa, V. K., & McIntosh, A. R. (2013). Resting brains never rest: computational insights into potential cognitive architectures. Trends in Neurosciences, 36(5), 268–74. doi:10.1016/j.tins.2013.03.001
  • Hansen, E. C. a., Battaglia, D., Spiegler, A., Deco, G., & Jirsa, V. K. (2015). Functional connectivity dynamics: Modeling the switching
    behavior of the resting state. NeuroImage, 105, 525–535.
    doi:10.1016/j.neuroimage.2014.11.001

This state is the most economic state since it is on the edge of stability, which means that small inputs will lead to a bifurcation where the spontaneous state becomes unstable and the high firing "task-activated" state becomes stable. This provides high flexibility to brain operations. The control parameter in most of the models is the coupling strength between neurons. As Philippe mentioned, there is always some degree of spontaneous activity in normal functioning (healthy) brains, and I'm only aware of models which simulate neurons by means of chaotic systems or realistic neuronal spiking networks which have some low degree of connectivity/coupling to simulate a low firing "random" state, but there may be other models, which I do not know about.

But let's assume you simulate a model just with random spontaneous activity. Then there would be no information exchange between neurons when there is a low coupling, thus there would not emerge any form of resting state network, which can be seen as a form of "ghost attractors" where brain areas exchange information by spike synchronization.

So to answer your question, I'd say that the normal healthy brain is wired in a way that it can respond to environmental stimuli very flexibly and is able to switch from a resting state (for example when closing eyes and relax without any form of stimulation) to a task-activated or stimulus activated state very quickly.

But this can all be different when there is some form of physical damage to central hubs of brain function (think of the brain as small world network), which can't be compensated or substance induced changes like LSD or Psilocybin. Or think about mental disorder like schizophrenia or psychosis with visual and auditory hallucinations asf. There are probably many ways of altering the optimal operation point of the brain.

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