Global bifurcation analysis of a pyramidal cell model of the primary visual cortex: Towards a construction of physiologically plausible model

Abstract

Many mathematical models of different neurons have been proposed so far, however, the way of modeling Ca2+ regulation mechanisms has not been established yet. Therefore, we try to construct a physiologically plausible model which contains many regulating systems of the intracellular Ca 2+, such as Ca2+ buffering, Na+/Ca2+ exchanger and Ca2+ pump current. In this paper, we seek the plausible values of parameters by analyzing the global bifurcation structure of our temporary model. © 2008 Springer-Verlag Berlin Heidelberg.