A bidomain threshold model of propagating calcium waves

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Thul, Ruediger, Smith, G.D. and Coombes, Stephen (2008) A bidomain threshold model of propagating calcium waves. Journal of Mathematical Biology, 56 (4). pp. 435-463. ISSN 1432-1416

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Abstract

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 www.springerlink.com (Journal of Mathematical Biology)

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1015329
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s00285-007-0123-5
Keywords: Bidomain models, Calcium waves, Stability, Wave bifurcation
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s00285-007-0123-5
Depositing User: Coombes, Prof Stephen
Date Deposited: 22 Oct 2007 13:39
Last Modified: 04 May 2020 20:27
URI: https://eprints.nottingham.ac.uk/id/eprint/683

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