Neuron firing in driven nonlinear integrate-and-fire models |
| |
Authors: | Kostur Marcin Schindler Michael Talkner Peter Hänggi Peter |
| |
Institution: | Institut für Physik, Universit?t Augsburg, D-86135 Augsburg, Germany. |
| |
Abstract: | Statistical properties of neuron firing are studied in the framework of a nonlinear leaky integrate-and-fire model that is driven by a slow periodic subthreshold signal. The firing events are characterized by first passage time densities. The experimentally better accessible interspike interval density generally depends on the sojourn times in a refractory state of the neuron. This aspect is not part of the integrate-and-fire model and must be modelled additionally. For a large class of refractory dynamics, a general expression for the interspike interval density is given and further evaluated for the two cases with an instantaneous resetting (i.e. no refractory state) and a refractory state possessing a deterministic lifetime. First passage time densities and interspike interval densities following from the proposed theory compare favorably with precise numerical simulations. |
| |
Keywords: | 87 19 La 05 40 −a 02 70 Rr 89 75 Hc 82 20 Uv |
本文献已被 ScienceDirect PubMed 等数据库收录! |