Abstract
A stochastic model of neuronal activity is proposed. Some stochastic differential equations based on jump processes are used to investigate the behavior of the membrane potential at a time scale small with respect to the neuronal states time evolution. A model for learning, implying short memory effects, is described.
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Blanchard, P., Combe, P., Nencka, H. et al. Stochastic dynamical aspects of neuronal activity. J. Math. Biol. 31, 189–198 (1993). https://doi.org/10.1007/BF00171226
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DOI: https://doi.org/10.1007/BF00171226