High-order WENO scheme for polymerization-type equations

DOI10.1051/PROC/2010006zbMATH Open1202.92028arXiv1002.2174OpenAlexW3100305464MaRDI QIDQ3064206

Publication date: 20 December 2010

Published in: ESAIM: Proceedings (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1002.2174

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Biochemistry, molecular biology (92C40)

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