Coupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling

Thomas Carraro; Elfriede Friedmann; Daniel Gerecht

doi:10.1016/j.jcp.2016.03.020

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arXiv · 1603.02744

Coupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling

Thomas Carraro·Elfriede Friedmann·Daniel Gerecht

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Abstract

We consider PDE/ODE systems for the simulation of intercellular signaling in multicellular environments. The intracellular processes for each cell described here by ODEs determine the long-time dynamics, but the PDE part dominates the solving effort. Thus, it is not clear if commonly used decoupling methods can outperform a coupling approach. Based on a sensitivity analysis, we present a systematic comparison between coupling and decoupling approaches for this class of problems and show numerical results. For biologically relevant configurations of the model, our quantitative study shows that a coupling approach performs much better than a decoupling one.

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Thomas Carraro, Elfriede Friedmann, Daniel Gerecht. 2016-03-09. Coupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling. https://doi.org/10.1016/j.jcp.2016.03.020

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