Stochastic spreading of intracellularCa2+release

We study the spreading of calcium-induced calcium release with the stochastic DeYoung-Keizer-model of the inositol 1,4,5-trisphosphate receptor channel. The model shows a transition from isolated release events to steadily propagating waves with increasing ${\mathrm{IP}}_3$ concentration. A state—stochastic backfiring—was found in the regime of steady propagation. The model can be reduced by an adiabatic elimination of the partial differential equation for the ${\mathrm{Ca}}^{2+}$ concentration to a lattice of stochastic channel clusters.