# Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions

Jana Lipková, Konstantinos C. Zygalakis, S. Jonathan Chapman, Radek Erban

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## Abstract

A class of Brownian dynamics algorithms for stochastic reaction-diffusion models which include reversible bimolecular reactions is presented and analyzed. The method is a generalization of the $\lambda$–$\overline{\varrho}$ model for irreversible bimolecular reactions which was introduced in [R. Erban and S. J. Chapman, Phys. Biol., 6 (2009), 046001]. The formulae relating the experimentally measurable quantities (reaction rate constants and diffusion constants) with the algorithm parameters are derived. The probability of geminate recombination is also investigated.