Authors
Andreas Hellander, Stefan Hellander, Per Lötstedt
Publication date
2012
Journal
Multiscale Modeling & Simulation
Volume
10
Issue
2
Pages
585-611
Publisher
Society for Industrial and Applied Mathematics
Description
We present a new simulation algorithm that allows for dynamic switching between a mesoscopic and a microscopic modeling framework for stochastic reaction-diffusion kinetics. The more expensive and more accurate microscopic model is used only for those species and in those regions in space where there is reason to believe that a microscopic model is needed to capture the dynamics correctly. The microscopic algorithm is extended to simulation on curved surfaces in order to model reaction and diffusion on membranes. The accuracy of the method on and near a spherical membrane is analyzed and evaluated in a numerical experiment. Two biologically motivated examples are simulated in which the need for microscopic simulation of parts of the system arises for different reasons. First, we apply the method to a model of the phosphorylation reactions in a mitogen-activated protein kinase signaling cascade …
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