Bifurcation analysis of a free boundary model of the atherosclerotic plaque formation associated with the cholesterol ratio
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Publication:5139748
DOI10.1063/5.0009121zbMath1451.92168arXiv2008.07075OpenAlexW3082207781WikidataQ100411873 ScholiaQ100411873MaRDI QIDQ5139748
Publication date: 10 December 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07075
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)
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Cites Work
- Unnamed Item
- Lipoprotein oxidation and its significance for atherosclerosis: a mathematical approach
- Continuation along bifurcation branches for a tumor model with a necrotic core
- Classical solutions of the Stefan problem
- Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients
- A free boundary problem for steady small plaques in the artery and their stability
- A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors
- Bifurcation from simple eigenvalues
- Mathematical modelling of the atherosclerotic plaque formation