title: Simulation of a diffusion process with randomly distributed jumps in neuronal context.
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.
authors.affiliation: Institute of Biophysics, 3rd Medical School of Charles University, Prague, Czechoslovakia.
authors.forename: M
authors.initials: M
authors.lastname: Musila
authors.forename: P
authors.initials: P
authors.lastname: Lánský
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008564:Membrane Potentials / Q000502:physiology; D008959:Models, Neurological; D009010:Monte Carlo Method; D009474:Neurons / Q000502:physiology*; D012985:Software Design; D013269:Stochastic Processes