Stochastic calcium oscillations

Mathematical Medicine and Biology : a Journal of the IMA
James P Keener

Abstract

While the oscillatory release of calcium from intracellular stores is comprised of fundamentally stochastic events, most models of calcium oscillations are deterministic. As a result, the transition to calcium oscillations as parameters, such as IP(3) concentration, are changed is not described correctly. The fundamental difficulty is that whole-cell models of calcium dynamics are based on the assumptions that the calcium concentration is spatially homogeneous, and that there are a sufficiently large number of release sites per unit volume so that the law of large numbers is applicable. For situations where these underlying assumptions are not applicable, a new modelling approach is needed. In this paper, we present a model and its analysis of calcium dynamics that incorporates the fundamental stochasticity of release events. The model is based on the assumptions that release events are rapid, while reactivation is slow. The model presented here is comprised of two parts. In the first, a stochastic version of the fire-diffuse-fire model is studied in order to understand the spark-to-wave transition and the probability of sparks resulting in abortive waves versus whole-cell calcium release. In the second, this information about ...Continue Reading

Citations

Apr 20, 2005·Chaos·Javier M BuldúJ García-Ojalvo
Aug 18, 2012·PloS One·Matthias Vigelius, Bernd Meyer
May 27, 2014·Frontiers in Molecular Neuroscience·Kevin B Clark
Sep 8, 2006·The Neuroscientist : a Review Journal Bringing Neurobiology, Neurology and Psychiatry·Alan D Dorval
Mar 23, 2017·Endocrinology·Nicola RomanòMichael J Shipston
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nara Guisoni, Mário J de Oliveira
May 9, 2013·European Biophysics Journal : EBJ·Lin JiHaizhou Zhang

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