Physical Review E · 2005 · 90 citations · 34 references
Natural SciencesBiophysicsCell BiologyCell BiophysicsComputational BiophysicsStochastic ModelingBiological OscillationsCalcium SignalingIntracellular Calcium SignalingSimulation MethodsStochastic Processes In BiophysicsStochastic Systems ModelingCalcium Dynamics ModelingCytosolic Calcium OscillationsHopf BifurcationIntracellular Calcium DynamicsMesoscopic SimulationNoise-induced PhenomenaStochastic ResonanceStochastic Simulation
By constructing a mesoscopic stochastic model for intracellular calcium oscillations in a cell system, we have investigated how the internal noise would influence the calcium oscillations of such a system using stochastic simulation methods and chemical Langevin method. It is found that stochastic calcium oscillations appear when the internal noise is considered, while the deterministic model only yields steady state. The performance of such oscillations undergoes a maximum with the variation of the internal noise level, indicating the occurrence of internal noise stochastic resonance. Interestingly, we find that the optimal system size matches well with the real cell size when the control parameter is tuned near the left Hopf bifurcation point, and such a match is robust to the variation of the control parameters.
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Stochastic Gene Expression in a Single Cell
Michael B. Elowitz, Arnold J. Levine, Eric D. Siggia et al. · Science · 2002 · 5.7K citations
L. Gammaitoni, Peter Hänggi, Peter Jung et al. · Reviews of Modern Physics · 1998 · 5.4K citations · Full text
Natural Sciences, Biology, Physics +13
Calcium - a life and death signal
Michael J. Berridge, Martin D. Bootman, Peter Lipp · Nature · 1998 · 2.1K citations