Bulletin of Mathematical Biology

, Volume 61, Issue 2, pp 273–301

Velocity and stability of solitary planar travelling wave solutions of intracellular [Ca]2+

  • G. C. Chopra
  • B. D. Sleeman
  • J. Brindley
  • D. G. Knapp
  • A. V. Holden
Article

DOI: 10.1006/bulm.1998.0081

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

Abstract

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.

Copyright information

© Society for Mathematical Biology 1999

Authors and Affiliations

  • G. C. Chopra
    • 1
  • B. D. Sleeman
    • 1
  • J. Brindley
    • 1
  • D. G. Knapp
    • 1
  • A. V. Holden
    • 2
  1. 1.Department of Applied MathematicsUniversity of LeedsLeedsUK
  2. 2.School of Biomedical SciencesUniversity of LeedsLeedsUK