Stability of membrane bound reactions

Thul, Ruediger and Falcke, Martin (2004) Stability of membrane bound reactions. Physical Review Letters, 93 (18). p. 188103. ISSN 0031-9007

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We present a novel approach to the dynamics of reactions of diffusing chemical species with species fixed in space e.g. by binding to a membrane. The non-diffusing reaction partners are clustered in areas with a diameter smaller than the diffusion length of the diffusing partner. The activated fraction of the fixed species determines the size of an active sub-region of the cluster. Linear stability analysis reveals that diffusion is one of the ma jor determinants of the stability of the dynamics. We illustrate the model concept with Ca²⁺ dynamics in living cells, which has release channels as fixed reaction partners. Our results suggest that spatial and temporal structures in intracellular Ca²⁺ dynamics are caused by fluctuations due to the small number of channels per cluster.

Item Type:Article
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:998
Deposited By:Thul, Dr Ruediger
Deposited On:19 Nov 2008 16:01
Last Modified:27 Jun 2011 11:22

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