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

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...

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Hauptverfasser: Carraro, Thomas (VerfasserIn) , Friedmann, Elfriede (VerfasserIn) , Gerecht, Daniel (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 15 March 2016
In: Journal of computational physics
Year: 2016, Jahrgang: 314, Pages: 522-537
ISSN:1090-2716
DOI:10.1016/j.jcp.2016.03.020
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1016/j.jcp.2016.03.020
Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0021999116001728
Volltext
Verfasserangaben:Thomas Carraro, Elfriede Friedmann, Daniel Gerecht
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Zusammenfassung: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.
Beschreibung:Gesehen am 30.08.2017
Beschreibung:Online Resource
ISSN:1090-2716
DOI:10.1016/j.jcp.2016.03.020