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| HAL: inria-00450744, version 1 |
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| Journal of Mathematical Biology 64, 1-2 (2012) 1-39 |
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| Signal propagation in the MAPK cascade: role of bistability and ultrasensitivity for a mixed problem |
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| Ralf Blossey 1Jean-François Bodart 2 |
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| (2012) |
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| The MAPK signaling cascade is nowadays understood as a network module highly conserved across species. Its main function is to transfer a signal arriving at the plasma membrane to the cellular interior, the nucleus. Current understanding of 'how' this is achieved involve the notions of ultrasensitivity and bistability which relate to the nonlinear dynamics of the biochemical network, ignoring spatial aspects. Much less, indeed, is so far known about the propagation of the signal through the cytoplasm. In this work we formulate, starting from a Michaelis-Menten model for the MAPK cascade in {\it Xenopus} oocytes, a reaction-diffusion model of the cascade. We study this model in one space dimension. Basing ourselves on previous general results on reaction diffusion models, we particularly study for our model the conditions for signal propagation. We show that the existence of a propagating front depends sensitively on the initial and boundary conditions at the plasma membrane. Possible biological consequences of this finding are discussed. |
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| 1: | Institut de Recherche Interdisciplinaire,FRE 2963 (IRI) |
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Institut d'Electronique ,Microélectronique et Nanotechnologies – CNRS : UMR8520 – Université Lille I - Sciences et technologies |
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| 2: | Laboratoire de Régulation des Signaux de Division (EA 4020) |
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USTL |
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| 3: | SIMPAF (INRIA Lille - Nord Europe) |
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INRIA – Université Lille I - Sciences et technologies – CNRS : UMR |
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| 4: | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| 5: | Laboratoire de Mathématiques Paul Painlevé |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| Domain | : | Mathematics/Analysis of PDEs |
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| Cell signalling – MAPK cascade – Reaction-Diffusion equations – Wave front |
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| Attached file list to this document: | |||||
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| inria-00450744, version 1 | |
| http://hal.inria.fr/inria-00450744 | |
| oai:hal.inria.fr:inria-00450744 | |
| From: Pauline Lafitte-Godillon | |
| Submitted on: Tuesday, 26 January 2010 21:29:09 | |
| Updated on: Thursday, 7 February 2013 19:04:05 | |
