Hysteresis and bistability in a realistic model for $\rm IP_{3}$-driven$\rm Ca^{2+}$ oscillations

• Published in: Europhysics letters Vol. 55; no. 5; pp. 746 - 752
• Main Authors: Torres, J. J., Willems, P. H. G. M., Kappen, H. J., Koopman, W. J. H.
• Format: Journal Article
• Language: English
• Published: EDP Sciences 01.09.2001
• Subjects: 87.10.+e; 87.16.-b; 87.16.Ac
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/epl/i2001-00477-3

We present a new model for inositol triphosphate $\rm (IP_{3})$-induced cytosolic $\rm Ca^{2+}$ oscillations in non-excitable cells. The model includes the various $\rm Ca^{2+}$ in- and efflux pathways reported to exist in these cells. In particular, it features the complex regulation of the $\rm Ca^{2+}$ release from the endoplasmic reticulum (ER) by $\rm IP_{3},$ cytosolic $\rm Ca^{2+}$ and $\rm Ca^{2+}$ in the ER. Bifurcation analysis revealed that the model accurately predicts the cytosolic $\rm Ca^{2+}$ dynamics in a typical non-excitable cell. Diffusional coupling of this model in a two-dimensional network shows hysteresis and bistability in its collective dynamics. Depending on the strength of the diffusion constant, we find traveling or spiral waves as solutions of this system.