Simulation of a diffusion process with randomly distributed jumps in neuronal context
Language English Country Ireland Media print
Document type Journal Article, Research Support, Non-U.S. Gov't
- MeSH
- Diffusion MeSH
- Membrane Potentials physiology MeSH
- Monte Carlo Method MeSH
- Models, Neurological * MeSH
- Software Design MeSH
- Neurons physiology MeSH
- Computer Simulation * MeSH
- Stochastic Processes MeSH
- Publication type
- Journal Article MeSH
- Research Support, Non-U.S. Gov't MeSH
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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