Regensburg 2007 – scientific programme
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BP: Fachverband Biologische Physik
BP 25: Oscillatory Systems
BP 25.6: Talk
Thursday, March 29, 2007, 16:00–16:15, H44
A bidomain threshold model of intracellular calcium release — •Rüdiger Thul1, Stephen Coombes1, and Greg D. Smith2 — 1School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK — 2Department of Applied Sciences, The College of William and Mary, Williamsburg, Virginia, 23187, USA
We introduce a bidomain threshold model of intracellular calcium release. By the explicit construction of travelling wave solutions we are able to probe the dependence of wave speed on physiologically important parameters, including the rate of calcium pumping between the endoplasmic reticulum and the cytosol. Importantly we develop a linear stability analysis that predicts the onset of front instabilities, leading to the emergence of waves that propagate in a back-and-forth manner. Direct numerical simulations are used to confirm our travelling wave predictions.