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- W2892036090 abstract "Deterministic and stochastic models of chemical reaction kinetics can give starkly different results when the deterministic model exhibits more than one stable solution. For example, in the stochastic Schlögl model, the bimodal stationary probability distribution collapses to a unimodal distribution when the system size increases, even for kinetic constant values that result in two distinct stable solutions in the deterministic Schlögl model. Using zero-information (ZI) closure scheme, an algorithm for solving chemical master equations, we compute stationary probability distributions for varying system sizes of the Schlögl model. With ZI-closure, system sizes can be studied that have been previously unattainable by stochastic simulation algorithms. We observe and quantify paradoxical discrepancies between stochastic and deterministic models and explain this behavior by postulating that the entropy of non-equilibrium steady states (NESS) is maximum." @default.
- W2892036090 created "2018-09-27" @default.
- W2892036090 creator A5044411143 @default.
- W2892036090 creator A5086327435 @default.
- W2892036090 date "2018-09-06" @default.
- W2892036090 modified "2023-09-25" @default.
- W2892036090 title "On Differences between Deterministic and Stochastic Models of Chemical Reactions: Schlögl Solved with ZI-Closure" @default.
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- W2892036090 doi "https://doi.org/10.3390/e20090678" @default.
- W2892036090 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7513203" @default.
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