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A bidomain threshold model of propagating calcium waves

Thul, Ruediger; Smith, G.D.; Coombes, Stephen


G.D. Smith


We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca) in living cells. Modelling Ca release as a threshold process allows the explicit construction of travelling wave solutions to probe the dependence of Ca wave speed on physiologically important parameters such as the threshold for Ca release from the endoplasmic reticulum (ER) to the cytosol, the rate of Ca resequestration from the cytosol to the ER, and the total [Ca] (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 Ca 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 Ca wave speed on the total [Ca].

The original publication is available at (Journal of Mathematical Biology)


Thul, R., Smith, G., & Coombes, S. (2008). A bidomain threshold model of propagating calcium waves. Journal of Mathematical Biology, 56(4),

Journal Article Type Article
Online Publication Date Sep 5, 2007
Publication Date Apr 1, 2008
Deposit Date Oct 22, 2007
Publicly Available Date Oct 22, 2007
Journal Journal of Mathematical Biology
Print ISSN 0303-6812
Electronic ISSN 1432-1416
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 56
Issue 4
Keywords Bidomain models, Calcium waves, Stability, Wave bifurcation
Public URL
Publisher URL
Additional Information The final publication is available at Springer via


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