Simulation of a diffusion process with randomly distributed jumps in neuronal context.

M Musila; P Lánský

doi:10.1016/0020-7101(92)90007-f

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Simulation of a diffusion process with randomly distributed jumps in neuronal context.

M Musila·P Lánský

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Abstract

In stochastic neuronal models, an interspike interval corresponds to the time interval during which the process imitating the membrane potential reaches a threshold from an initial depolarization. For neurons with an extensive dendritic structure, a stochastic process combining diffusion and discontinuous development of its trajectory is considered a good description of the membrane potential. Due to a lack of analytical solutions of the threshold passage distribution for such a process, a method for computer simulation is introduced here. For the diffusion Ornstein-Uhlenbeck process with exponentially distributed moments of constant jumps a program is given. The relation between the simulation step, accuracy of simulation and amount of computing time required is discussed.

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Computer Simulation Diffusion Membrane Potentials Models, Neurological Monte Carlo Method Neurons Software Design Stochastic Processes Journal Article Research Support, Non-U.S. Gov't

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M Musila, P Lánský. 1992. Simulation of a diffusion process with randomly distributed jumps in neuronal context.. https://doi.org/10.1016/0020-7101(92)90007-f

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