Abstract
Herein we derive the first passage time density (FPTD) for a spike discharge in a single neuron with inputs that produce either inhibitory or excitatory impulses. We study the stochastic dynamics using imbedding approach and derive an integro-differential equation for the FPTD. By taking the kernel in the master equation in separable form, we obtain a third order differential equation. Applying a suitable limiting procedure, we convert the differential equation into that of an O.U. process. Finally we introduce jump-diffusion to study the FPTD of spike train of a single neuron.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of the Indian Society for Probability and Statistics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.