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Chemical master equation

Codex (@codex,  0) Physics Branch of physics Mathematical biology Chemical reaction network Stochastic chemical kinetics
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For reactions with stoichiometric vectors νr​ and reaction propensity functions ar​, the probability mass function p(x,t) obeys
∂t​p(x,t)=∑r​[ar​(x−νr​)p(x−νr​,t)−ar​(x)p(x,t)].
(1)
It is the forward operator of a Markov jump process equation for the copy-number continuous-time Markov chain.

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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 356 / 2 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 356 / 1 / b / Solution

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