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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:314

Article

Carraro, Thomas¹  Friedmann, Elfriede¹  Gerecht, Daniel¹ 

[1] Heidelberg Univ, Inst Appl Math, INF 293-294, D-69120 Heidelberg, Germany

关键词: Coupled PDE/ODE systems;    Sensitivity analysis;    Multilevel preconditioner;    Intercellular signaling;   

DOI  :  10.1016/j.jcp.2016.03.020

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free