1. Reducing the sequential dynamics of excitatory neural networks to cellular automata
- Author
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Vladimir I. Nekorkin, D. V. Kasatkin, Valentin Afraimovich, and A. S. Dmitrichev
- Subjects
Stochastic cellular automaton ,Excitatory synapse ,Quantitative Biology::Neurons and Cognition ,Physics and Astronomy (miscellaneous) ,Artificial neural network ,Computer science ,Cellular neural network ,Computer Science::Neural and Evolutionary Computation ,Continuous spatial automaton ,Graph (abstract data type) ,Biological system ,Cellular automaton ,Asynchronous cellular automaton - Abstract
We present a new approach for the description and analysis of sequential dynamics of excitatory neural networks. It is based on the reduction of dynamics of networks to the dynamics of cellular automata (CA) on the graph of connections. The attractors of the CA determine the different regimes of sequential dynamics of the original neural network. We illustrate our approach through Morris–Lecar and Hodgkin–Huxley neural networks.
- Published
- 2012
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