Transition from stochastic to deterministic behavior in calcium oscillations
Kummer, U. (Ursula), Krajnc, Borut, Pahle, Jürgen, Green, Anne K., Dixon, C. Jane and Marhl, Marko. (2005) Transition from stochastic to deterministic behavior in calcium oscillations. Biophysical Journal, Vol.89 (No.3). pp. 1603-1611. ISSN 0006-3495
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Official URL: http://dx.doi.org/10.1529/biophysj.104.057216
Simulation and modeling is becoming more and more important when studying complex biochemical systems. Most often, ordinary differential equations are employed for this purpose. However, these are only applicable when the numbers of participating molecules in the biochemical systems are large enough to be treated as concentrations. For smaller systems, stochastic simulations on discrete particle basis are more accurate. Unfortunately, there are no general rules for determining which method should be employed for exactly which problem to get the most realistic result. Therefore, we study the transition from stochastic to deterministic behavior in a widely studied system, namely the signal transduction via calcium, especially calcium oscillations. We observe that the transition occurs within a range of particle numbers, which roughly corresponds to the number of receptors and channels in the cell, and depends heavily on the attractive properties of the phase space of the respective systems dynamics. We conclude that the attractive properties of a system, expressed, e.g., by the divergence of the system, are a good measure for determining which simulation algorithm is appropriate in terms of speed and realism.
|Item Type:||Journal Article|
|Subjects:||Q Science > QD Chemistry|
|Divisions:||Faculty of Science > Life Sciences (2010- ) > Biological Sciences ( -2010)|
|Library of Congress Subject Headings (LCSH):||Calcium, Oscillating chemical reactions, Differential equations, Biochemistry -- Computer simulation, Biochemistry -- Mathematical models|
|Journal or Publication Title:||Biophysical Journal|
|Official Date:||September 2005|
|Page Range:||pp. 1603-1611|
|Access rights to Published version:||Open Access|
|Funder:||Wellcome Trust (London, England), Klaus Tschira Foundation (KTF), Germany. Bundesministerium für Bildung und Forschung (BMBF)|
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