Repository: Freie Universität Berlin, Math Department

Reversible interacting-particle reaction dynamics

Fröhner, Chr. and Noé, F. (2018) Reversible interacting-particle reaction dynamics. J. Phys. Chem. B, 122 (49). pp. 11240-11250.


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Interacting-Particle Reaction Dynamics (iPRD) simulates the spatiotemporal evolution of particles that experience interaction forces and can react with one another. The combination of interaction forces and reactions enable a wide range of complex reactive systems in biology and chemistry, but give rise to new questions such as how to evolve the dynamical equations in a computationally efficient and statistically correct manner. Here we consider reversible reactions such as A + B <--> C with interacting particles and derive expressions for the microscopic iPRD simulation parameters such that desired values for the equilibrium constant and the dissociation rate are obtained in the dilute limit. We then introduce a Monte-Carlo algorithm that ensures detailed balance in the iPRD time-evolution (iPRD-DB). iPRD-DB guarantees the correct thermodynamics at all concentrations and maintains the desired kinetics in the dilute limit, where chemical rates are well-defined and kinetic measurement experiments usually operate. We show that in dense particle systems, the incorporation of detailed balance is essential to obtain physically realistic solutions. iPRD-DB is implemented in ReaDDy 2 (

Item Type:Article
Additional Information:SFB1114 Preprint in arXiv:1807.07355 (
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group
ID Code:2352
Deposited By: Silvia Hoemke
Deposited On:25 Jun 2019 15:12
Last Modified:25 Jun 2019 15:12

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