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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 March 2016
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| In: |
Journal of computational physics
Year: 2016, Volume: 314, Pages: 522-537 |
| ISSN: | 1090-2716 |
| DOI: | 10.1016/j.jcp.2016.03.020 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.jcp.2016.03.020 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0021999116001728 
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| Author Notes: | Thomas Carraro, Elfriede Friedmann, Daniel Gerecht |
| Summary: | 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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| Item Description: | Gesehen am 30.08.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2716 |
| DOI: | 10.1016/j.jcp.2016.03.020 |