Abstract:

Propagation of firediffusefire Ca²⁺ waves through a cylindric domain is considered. Ca²⁺ concentration is an analytic solution derived from the diffusion equation in the domain. Existence and stability are shown to be dependent on the radius and the Ca²⁺ pump rate. It is also shown that the threshold of fire increase as radius increasing in finite interval. The results provides better understanding about the roles of endoplasmic and Ca²⁺ pumps in the intracellular Ca²⁺ dynamics of cells. 

Key words:  fire-diffuse-fire model; Ca²⁺ waves; calcium release