Biology – Quantitative Biology – Neurons and Cognition
Scientific paper
2007-12-13
Phys. Rev. Lett. 100, 238701 (2008)
Biology
Quantitative Biology
Neurons and Cognition
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.100.238701
We present a general information theoretic approach for identifying functional subgraphs in complex networks where the dynamics of each node are observable. We show that the uncertainty in the state of each node can be expressed as a sum of information quantities involving a growing number of correlated variables at other nodes. We demonstrate that each term in this sum is generated by successively conditioning mutual informations on new measured variables, in a way analogous to a discrete differential calculus. The analogy to a Taylor series suggests efficient search algorithms for determining the state of a target variable in terms of functional groups of other degrees of freedom. We apply this methodology to electrophysiological recordings of networks of cortical neurons grown it in vitro. Despite strong stochasticity, we show that each cell's patterns of firing are generally explained by the activity of a small number of other neurons. We identify these neuronal subgraphs in terms of their mutually redundant or synergetic character and reconstruct neuronal circuits that account for the state of each target cell.
Bettencourt Luis M. A.
Gintautas Vadas
Ham Michael I.
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