tailieunhanh - Báo cáo Y học: Modelling of simple and complex calcium oscillations From single-cell responses to intercellular signalling

This review provides a comparative overview of recent developments in the modelling of cellular calcium oscilla-tions. A large variety of mathematical models have been developed for this wide-spread phenomenon in intra- and intercellular signalling. From these, a general model is extracted that involves six types of concentration variables: inositol 1,4,5-trisphosphate (IP3), cytoplasmic, endoplasmic reticulum and mitochondrial calcium, the occupied binding sites of calcium buffers, and the fraction of active IP3 receptor calciumrelease channels | Eur. J. Biochem. 269 1333-1355 2002 FEBS 2002 REVIEW ARTICLE Modelling of simple and complex calcium oscillations From single-cell responses to intercellular signalling Stefan Schuster1 2 Marko Marhl3 and Thomas Heifer2 Max Delbríick Centre for Molecular Medicine Department of Bioinformatics Berlin-Buch Germany 2Humboldt University Berlin Institute of Biology Berlin Germany 3 University of Maribor Faculty of Education Department of Physics Maribor Slovenia This review provides a comparative overview of recent developments in the modelling of cellular calcium oscillations. A large variety of mathematical models have been developed for this wide-spread phenomenon in intra- and intercellular signalling. From these a general model is extracted that involves six types of concentration variables inositol 1 4 5-trisphosphate IP3 cytoplasmic endoplasmic reticulum and mitochondrial calcium the occupied binding sites of calcium buffers and the fraction of active IP3 receptor calcium release channels. Using this framework the models of calcium oscillations can be classified into minimal models containing two variables and extended models of three and more variables. Three types of minimal models are identified that are all based on calcium-induced calcium release CICR but differ with respect to the mechanisms limiting CICR. Extended models include IP3-calcium crosscoupling calcium sequestration by mitochondria the detailed gating kinetics of the IP3 receptor and the dynamics of G-protein activation. In addition to generating regular oscillations such models can describe bursting and chaotic calcium dynamics. The earlier hypothesis that information in calcium oscillations is encoded mainly by their frequency is nowadays modified in that some effect is attributed to amplitude encoding or temporal encoding. This point is discussed with reference to the analysis of the local and global bifurcations by which calcium oscillations can arise. Moreover the question of how calcium .

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