Velocity and stability of solitary planar travelling wave solutions of intracellular [Ca]2+.
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.
Chopra
G C
GC
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK. caroline@amsta.leeds.ac.uk
Sleeman
B D
BD
Brindley
J
J
Knapp
D G
DG
Holden
A V
AV
D020013:Calcium Signaling / Q000502:physiology*; D003198:Computer Simulation; D006321:Heart / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D009200:Myocardial Contraction / Q000502:physiology*; D009206:Myocardium / Q000378:metabolism