Control analysis of the Rose-Hindmarsh model for neural activity.

Abstract

It is well known that vasopressin cells fire action potentials in bursts, but also have the ability to continuously discharge or have long periods of silence. Experimentally, various external stimuli can be applied to the vasopressin cell in order to manipulate the patterns of discharge observed. In this paper, the Rose-Hindmarsh model is used to describe the discharging of a single vasopressin cell. The range of parameter values which makes the model display the various patterns observed in vivo are described. It is shown that the model can be controlled to follow desired patterns of discharge and thus mimic external stimulation.