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The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca2+release

✍ Scribed by S. Coombes

Publisher
Springer
Year
2001
Tongue
English
Weight
221 KB
Volume
63
Category
Article
ISSN
1522-9602

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✦ Synopsis

The fire-diffuse-fire model provides an idealized model of Ca 2+ release within living cells. The effect of calcium pumps, which drive Ca 2+ back into internal stores, is often neglected for mathematical simplicity. Here we show how to explicitly analyse such effects by extending the work of Keizer et al. [Keizer, J. E., G. D. Smith, S. Ponce Dawson and J. Pearson (1998). Saltatory propagation of Ca 2+ waves by Ca 2+ sparks. Biophys. J. 75, 595-600.]. For travelling waves, in which release events occur sequentially, we construct the speed of waves in terms of the time-scale at which pumps operate. An immediate consequence of this analysis is that the inclusion of calcium pumps leads to multiple solutions. A linear stability analysis determines those solution branches in parameter space which are stable. Numerical continuation is used to provide explicit examples of the bifurcation diagrams of the speed of waves as a function of physiologically significant system parameters.

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