Stochastic dynamical aspects of neuronal activity (Q1204339)

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scientific article; zbMATH DE number 130437
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Stochastic dynamical aspects of neuronal activity
scientific article; zbMATH DE number 130437

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    Stochastic dynamical aspects of neuronal activity (English)
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    15 March 1993
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    The authors use stochastic jump processes to study the behavior of the membrane depolarization potential of the neurons in McCulloch-Pitts type systems. This is done by looking at a time scale smaller than the mean interspike time. Some properties of the jump processes are obtained from generalized Ito calculus. An expression for the firing probability of a neuron in a time interval is derived. Finally, a stochastic model for memory loading is described.
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    memory effects
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    neuronal systems
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    weak convergence
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    chemical exchanges at synapses
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    generalization of Stein's model
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    jump processes
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    membrane depolarization potential
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    McCulloch-Pitts type systems
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    mean interspike time
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    generalized Ito calculus
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    firing probability
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    memory loading
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