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arXiv · 1002.2174

High-order WENO scheme for Polymerization-type equations

Pierre Gabriel·Léon Matar Tine
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Abstract

Polymerization of proteins is a biochimical 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 fifth-order WENO scheme is built to preserve the total mass of proteins along time.

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Pierre Gabriel, Léon Matar Tine. 2010-02-10. High-order WENO scheme for Polymerization-type equations. https://doi.org/10.1051/proc/2010006

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