Leaky integrate-and-fire neuronal models with reversal potentials have a number of different diffusion approximations, each depending on the form of the amplitudes of the postsynaptic potentials. Probability distributions of the first-passage times of the membrane potential in the original model and its diffusion approximations are numerically compared in order to find which of the approximations is the most suitable one. The properties of the random amplitudes of postsynaptic potentials are discussed. It is shown on a simple example that the quality of the approximation depends directly on them.

• MeSH
• akční potenciály fyziologie   MeSH
• difuze MeSH
• lidé MeSH
• matematika MeSH
• membránové potenciály fyziologie   MeSH
• modely neurologické * MeSH
• neurony fyziologie   MeSH
• normální rozdělení MeSH
• počítačová simulace MeSH
• Poissonovo rozdělení MeSH
• pravděpodobnost MeSH
• stochastické procesy MeSH
• synaptické potenciály MeSH
• Check Tag
• lidé MeSH
• Publikační typ
• časopisecké články MeSH
• práce podpořená grantem MeSH

Equations for a diffusion neuronal model describing the production of nerve impulses have been derived for the case in which the noisy depolarizations of the membrane potential are restricted by the reversal potentials. Identifying neuron firing intervals with the first-passage-time distribution for the associated process allows us to compute the interspike interval statistics and relate them to the parameters characterizing the neuronal input. Methods for approximation of the first two moments of the interspike intervals are proposed. The analytical results are numerically illustrated and simultaneous computer simulations were performed for the same purpose. A comparison of the achieved results is made with those from other diffusion models or the models with discontinuous trajectories. The model is proposed mainly as an alternative to the Ornstein-Uhlenbeck neuronal model.

• MeSH
• akční potenciály fyziologie   MeSH
• difuze MeSH
• matematika MeSH
• membránové potenciály fyziologie   MeSH
• modely neurologické * MeSH
• nervový přenos fyziologie   MeSH
• neurony fyziologie   MeSH
• zvířata MeSH
• Check Tag
• zvířata MeSH
• Publikační typ
• časopisecké články MeSH
• práce podpořená grantem MeSH
• Research Support, U.S. Gov't, Non-P.H.S. MeSH
• srovnávací studie MeSH