Noise in integrate-and-fire neurons: from stochastic input to escape rates. Export

@article{citeulike:4810708, abstract = {We analyze the effect of noise in integrate-and-fire neurons driven by time-dependent input and compare the diffusion approximation for the membrane potential to escape noise. It is shown that for time-dependent subthreshold input, diffusive noise can be replaced by escape noise with a hazard function that has a gaussian dependence on the distance between the (noise-free) membrane voltage and threshold. The approximation is improved if we add to the hazard function a probability current proportional to the derivative of the voltage. Stochastic resonance in response to periodic input occurs in both noise models and exhibits similar characteristics.}, author = {Plesser, H. E. and Gerstner, W.}, citeulike-article-id = {4810708}, citeulike-linkout-0 = {http://view.ncbi.nlm.nih.gov/pubmed/10636947}, citeulike-linkout-1 = {http://www.hubmed.org/display.cgi?uids=10636947}, issn = {0899-7667}, journal = {Neural computation}, keywords = {analytic\_techniques, neuronal\_dynamics, noise, single\_neuron}, month = {February}, number = {2}, pages = {367--384}, posted-at = {2009-11-03 16:42:33}, priority = {3}, title = {Noise in integrate-and-fire neurons: from stochastic input to escape rates.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/10636947}, volume = {12}, year = {2000} }

TY - JOUR ID - citeulike:4810708 L3 - citeulike-article-id:4810708 N2 - We analyze the effect of noise in integrate-and-fire neurons driven by time-dependent input and compare the diffusion approximation for the membrane potential to escape noise. It is shown that for time-dependent subthreshold input, diffusive noise can be replaced by escape noise with a hazard function that has a gaussian dependence on the distance between the (noise-free) membrane voltage and threshold. The approximation is improved if we add to the hazard function a probability current proportional to the derivative of the voltage. Stochastic resonance in response to periodic input occurs in both noise models and exhibits similar characteristics. IS - 2 JF - Neural computation SN - 0899-7667 EP - 384 TI - Noise in integrate-and-fire neurons: from stochastic input to escape rates. VL - 12 SP - 367 KW - analytic_techniques KW - neuronal_dynamics KW - noise KW - single_neuron AU - Plesser, HE AU - Gerstner, W PY - 2000/02// UR - http://view.ncbi.nlm.nih.gov/pubmed/10636947 ER -