Thermodynamics and signatures of criticality in a network of neurons.

TitleThermodynamics and signatures of criticality in a network of neurons.
Publication TypeJournal Article
Year of Publication2015
AuthorsTkačik, G, Mora, T, Marre, O, Amodei, D, Palmer, SE, Berry, MJ, Bialek, W
JournalProc Natl Acad Sci U S A
Volume112
Issue37
Pagination11508-13
Date Published2015 Sep 15
ISSN1091-6490
KeywordsAlgorithms, Animals, Brain, Entropy, Hot Temperature, Models, Neurological, Models, Statistical, Monte Carlo Method, Nerve Net, Neurons, Probability, Reproducibility of Results, Retina, Thermodynamics, Urodela
Abstract

<p>The activity of a neural network is defined by patterns of spiking and silence from the individual neurons. Because spikes are (relatively) sparse, patterns of activity with increasing numbers of spikes are less probable, but, with more spikes, the number of possible patterns increases. This tradeoff between probability and numerosity is mathematically equivalent to the relationship between entropy and energy in statistical physics. We construct this relationship for populations of up to N = 160 neurons in a small patch of the vertebrate retina, using a combination of direct and model-based analyses of experiments on the response of this network to naturalistic movies. We see signs of a thermodynamic limit, where the entropy per neuron approaches a smooth function of the energy per neuron as N increases. The form of this function corresponds to the distribution of activity being poised near an unusual kind of critical point. We suggest further tests of criticality, and give a brief discussion of its functional significance.</p>

DOI10.1073/pnas.1514188112
Alternate JournalProc. Natl. Acad. Sci. U.S.A.
PubMed ID26330611
PubMed Central IDPMC4577210
Grant ListR01 EY14196 / EY / NEI NIH HHS / United States