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Hierarchic Stochastic Modelling Applied to Intracellular Ca2+ Signals

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  • Gregor Moenke
  • Martin Falcke
  • Keven Thurley

Abstract

Important biological processes like cell signalling and gene expression have noisy components and are very complex at the same time. Mathematical analysis of such systems has often been limited to the study of isolated subsystems, or approximations are used that are difficult to justify. Here we extend a recently published method (Thurley and Falcke, PNAS 2011) which is formulated in observable system configurations instead of molecular transitions. This reduces the number of system states by several orders of magnitude and avoids fitting of kinetic parameters. The method is applied to signalling. is a ubiquitous second messenger transmitting information by stochastic sequences of concentration spikes, which arise by coupling of subcellular release events (puffs). We derive analytical expressions for a mechanistic model, based on recent data from live cell imaging, and calculate spike statistics in dependence on cellular parameters like stimulus strength or number of channels. The new approach substantiates a generic model, which is a very convenient way to simulate spike sequences with correct spiking statistics.

Suggested Citation

  • Gregor Moenke & Martin Falcke & Keven Thurley, 2012. "Hierarchic Stochastic Modelling Applied to Intracellular Ca2+ Signals," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-12, December.
    • Handle: RePEc:plo:pone00:0051178
    DOI: 10.1371/journal.pone.0051178
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    References listed on IDEAS

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    1. U. Alon & M. G. Surette & N. Barkai & S. Leibler, 1999. "Robustness in bacterial chemotaxis," Nature, Nature, vol. 397(6715), pages 168-171, January.
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    1. Agne Tilūnaitė & Wayne Croft & Noah Russell & Tomas C Bellamy & Rüdiger Thul, 2017. "A Bayesian approach to modelling heterogeneous calcium responses in cell populations," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-25, October.

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