Turing-type instabilities in bulk–surface reaction–diffusion systems
In this contribution we consider a coupled bulk–surface reaction–diffusion system and for infinitely fast bulk diffusion its formal reduction to a non-local surface PDE model. Thereby, we review results of linear stability analyses for both models showing that Turing-type instabilities can occur for...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2015-12, Vol.289, p.142-152 |
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| container_title | Journal of computational and applied mathematics |
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| creator | Raetz, Andreas |
| description | In this contribution we consider a coupled bulk–surface reaction–diffusion system and for infinitely fast bulk diffusion its formal reduction to a non-local surface PDE model. Thereby, we review results of linear stability analyses for both models showing that Turing-type instabilities can occur for equal lateral diffusion coefficients. The stability results are confirmed by new numerical results. As a specific application, we study a model for a spatial and reaction cycle of signalling molecules in a cell. |
| doi_str_mv | 10.1016/j.cam.2015.02.050 |
| format | Article |
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| ispartof | Journal of computational and applied mathematics, 2015-12, Vol.289, p.142-152 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Computation Diffusion Diffusion coefficient Diffusion rate Instability Joining Mathematical models Numerical simulations of reaction–diffusion systems PDE’s on surfaces Reaction–diffusion systems Stability Turing instability |
| title | Turing-type instabilities in bulk–surface reaction–diffusion systems |
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