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Jump-Diffusion Approximation of Stochastic Reaction Dynamics: Error Bounds and Algorithms

Jump-Diffusion Approximation of Stochastic Reaction Dynamics: Error Bounds and Algorithms

Biochemical processes in living cells are comprised of reactions with vastly varying speeds and molecular counts of the reactant species. Classical deterministic or stochastic approaches to modeling often fail to exploit this multiscale nature of the reaction systems. In this paper, we propose a jump-diffusion approximation to these types of …