An interaction model of a poisson and a renewal process related to neuron firing

✍ Scribed by A. H. Pooi; P. A. Lee

• Publisher: Springer-Verlag
• Year: 1975
• Tongue: English
• Weight: 372 KB
• Volume: 17
• Category: Article
• ISSN: 0340-1200
• DOI: 10.1007/bf00363946

✦ Synopsis

This paper discusses a neuronal model based on a model of Coleman and Gastwirth (1969). It is assumed that the excitatory input forms a Poisson process while the inhibitory input forms a stationary renewal process. The proposed interaction scheme is as follows: an inhibitor deletes at most N consecutive excitatory inputs and a response only occurs after the cummalative storage of M excitatory inputs. The Laplace transform of the probability density function (p.d.f.) of the inter-response intervals is derived together with results of the numerical inversions.