Information Capacity and Robustness of Stochastic Neuron Models

Part of Advances in Neural Information Processing Systems 12 (NIPS 1999)

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Authors

Elad Schneidman, Idan Segev, Naftali Tishby

Abstract

The reliability and accuracy of spike trains have been shown to depend on the nature of the stimulus that the neuron encodes. Adding ion channel stochasticity to neuronal models results in a macroscopic behavior that replicates the input-dependent reliabili(cid:173) ty and precision of real neurons. We calculate the amount of infor(cid:173) mation that an ion channel based stochastic Hodgkin-Huxley (HH) neuron model can encode about a wide set of stimuli. We show that both the information rate and the information per spike of the s(cid:173) tochastic model are similar to the values reported experimentally. Moreover, the amount of information that the neuron encodes is correlated with the amplitude of fluctuations in the input, and less so with the average firing rate of the neuron. We also show that for the HH ion channel density, the information capacity is robust to changes in the density of ion channels in the membrane, whereas changing the ratio between the Na+ and K+ ion channels has a considerable effect on the information that the neuron can encode. Finally, we suggest that neurons may maximize their information capacity by appropriately balancing the density of the different ion channels that underlie neuronal excitability.