Geodesic
High-order WENO scheme for polymerization-type equations
Pierre Gabriel1 ; Léon Matar Tine2, 3, 4
1 Université Pierre et Marie Curie-Paris 6, UMR 7598 LJLL, BC187, 4, place de Jussieu, F-75252 Paris cedex 5, France
2 Equipe-Projet SIMPAF, Centre de Recherche INRIA Lille Nord Europe, Parc Scientifique de la Haute Borne, 40, avenue Halley B.P. 70478, F-59658 Villeneuve dAscq cedex, France
3 Laboratoire Paul Painlevé, UMR 8524, CNRS-Université des Sciences et Technologies de Lille Cité Scientifique, F-59655 Villeneuve dAscq Cedex, France
4 Laboratoire LANI - UFR SAT, Université Gaston Berger de Saint-Louis, B. P. 234 Saint-Louis, Sénégal
ESAIM. Proceedings, Tome 30 (2010), pp. 53-69.

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Polymerization of proteins is a biochemical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The WENO scheme is built to preserve the total mass of proteins along time.
DOI : 10.1051/proc/2010006

Pierre Gabriel 1 ; Léon Matar Tine 2, 3, 4

1 Université Pierre et Marie Curie-Paris 6, UMR 7598 LJLL, BC187, 4, place de Jussieu, F-75252 Paris cedex 5, France
2 Equipe-Projet SIMPAF, Centre de Recherche INRIA Lille Nord Europe, Parc Scientifique de la Haute Borne, 40, avenue Halley B.P. 70478, F-59658 Villeneuve dAscq cedex, France
3 Laboratoire Paul Painlevé, UMR 8524, CNRS-Université des Sciences et Technologies de Lille Cité Scientifique, F-59655 Villeneuve dAscq Cedex, France
4 Laboratoire LANI - UFR SAT, Université Gaston Berger de Saint-Louis, B. P. 234 Saint-Louis, Sénégal 
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     author = {Pierre Gabriel and L\'eon Matar Tine},
     title = {High-order {WENO} scheme for polymerization-type equations},
     journal = {ESAIM. Proceedings},
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     year = {2010},
     doi = {10.1051/proc/2010006},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2010006/}
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Pierre Gabriel; Léon Matar Tine. High-order WENO scheme for polymerization-type equations. ESAIM. Proceedings, Tome 30 (2010), pp. 53-69. doi : 10.1051/proc/2010006. http://geodesic.mathdoc.fr/articles/10.1051/proc/2010006/

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