A bidomain threshold model of propagating calcium waves |
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Authors: | R Thul G D Smith S Coombes |
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Institution: | (1) Department of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK;(2) Department of Applied Science, The College of William and Mary, Williamsburg, VA 23187, USA |
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Abstract: | We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular
calcium (Ca2+) in living cells. Modeling Ca2+ release as a threshold process allows the explicit construction of traveling wave solutions to probe the dependence of Ca2+ wave speed on physiologically important parameters such as the threshold for Ca2+ release from the endoplasmic reticulum (ER) to the cytosol, the rate of Ca2+ resequestration from the cytosol to the ER, and the total Ca2+] (cytosolic plus ER). Interestingly, linear stability analysis of the bidomain fire-diffuse-fire model predicts the onset
of dynamic wave instabilities leading to the emergence of Ca2+ waves that propagate in a back-and-forth manner. Numerical simulations are used to confirm the presence of these so-called
‘tango waves’ and the dependence of Ca2+ wave speed on the total Ca2+].
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Keywords: | Bidomain models Calcium waves Stability Wave bifurcation |
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