Velocity and stability of solitary planar travelling wave solutions of intracellular [Ca]2+
- Cite this article as:
- Chopra, G.C., Sleeman, B.D., Brindley, J. et al. Bull. Math. Biol. (1999) 61: 273. doi:10.1006/bulm.1998.0081
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Normal cardiac muscle contraction occurs in response to a rapid rise followed by a slower decay in intracellular calcium concentration. When cardiac muscle cells are loaded with calcium, an intracellular store releases calcium into the cytosol by the process of calcium-induced calcium release (CICR). This release contributes to the rise in intracellular calcium which in turn triggers contraction. We use two qualitative piecewise linear reaction-diffusion models of this behaviour to investigate the speed, stability and waveform of plane waves using singular perturbation techniques.