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

Published: 01 June 2016 Publication History

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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Published In

cover image Journal of Computational Physics
Journal of Computational Physics  Volume 314, Issue C
June 2016
911 pages

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 01 June 2016

Author Tags

  1. Coupled PDE/ODE systems
  2. Intercellular signaling
  3. Multilevel preconditioner
  4. Sensitivity analysis

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