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- W4313149691 abstract "20.1 MotivationDescribing a fair coin toss leads us naturally to the idea of a Bernoulli random variable with parameter p = ½. However, if we believe Newton’s laws of motion, then, given the initial conditions of the system and all the necessary physical parameters, we could, in principle, follow the path of the coin and determine its resting state. In practice, though, such a detailed computation is typically both infeasible and unnecessary, given the issues under investigation. In the same way, models for chemical kinetics can be developed by ignoring fine-level details that cannot be accurately measured or simulated, and by using random variables to deal with the inherent uncertainty that is then introduced. From the point of view of this book, this stochastic approach to chemical kinetics is of interest because it leads naturally to a system of SDEs in which the precise form of the noise can be determined from first-principles modeling assumptions. Further, stochastic modeling and simulation of chemical and biochemical networks is currently an active research topic; some recent references are mentioned in Section 20.8." @default.
- W4313149691 created "2023-01-06" @default.
- W4313149691 date "2021-01-01" @default.
- W4313149691 modified "2023-10-16" @default.
- W4313149691 title "Chapter 20: Chemical Kinetics" @default.
- W4313149691 doi "https://doi.org/10.1137/1.9781611976434.ch20" @default.
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