The De Young Keizer model for intracellular calcium oscillations is based around a detailed description of the dynamics for inositol trisphosphate (IP(3)) receptors. Systematic reductions of the kinetic schemes for IP(3) dynamics have proved especially fruitful in understanding the transition from excitable to oscillatory behaviour. With the inclusion of diffusive transport of calcium ions the ...

The fire-diffuse-fire model provides an idealized model of Ca2+ release within living cells. The effect of calcium pumps, which drive Ca2+ back into internal stores, is often neglected for mathematical simplicity. Here we show how to explicitly analyse such effects by extending the work of Keizer et al. [Keizer, J. E., G. D. Smith, S. Ponce Dawson and J. Pearson (1998). Saltatory propagation of...

model Igor Jacobs, Gustav Strijkers, Henk Keizer, Henk Janssen, Klaas Nicolay, and Matthias Schabel Biomedical NMR, Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands, Center for Imaging Research and Education, Eindhoven, Netherlands, SyMO-Chem BV, Eindhoven, Netherlands, Advanced Imaging Research Center, Oregon Health and Science University, Portla...

Oscillatory secretion of insulin has been observed in many different experimental preparations. Here we examine a mathematical model for in vitro insulin secretion from pancreatic beta cells in a flow-through reactor. The analysis shows that oscillations result because of an important interplay between flow rate of the reactor and insulin diffusion. In particular, if the ratio of flow rate to v...

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 IP3 concentration. A state--stochastic backfiring--was found in the regime of steady propagation. The model can be reduced by an adiabatic e...

Readers of the current issue will find something unfamiliar , perhaps tantalizing, perhaps unsettling. I am referring to the articles by Cha et al. (see " Ionic mechanisms and Ca 2+ dynamics... " and " Time-dependent changes in membrane excitability... "). The first of these articles is less exotic; it presents computer simulations of a model for bursting electrical activity in pancreatic  cel...

the ip3r calcium release channel has been simulated using a stochastic simulation algorithm (ssa;gillespie algorithm) and de young-keiser model. a set of different concentration for cat' and ip3 havebeen used. considering the number of molecules in each state, a non linear behavior of the system can beseen clearly. the inhibiting role of the ca+2 on the open state (x110) has been studied. the d...