A$\ β $-蛋白聚合模型的q -适定性

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Mathematical Modelling of Natural Phenomena Pub Date : 2023-09-26 DOI:10.1051/mmnp/2023028

Léon Matar Tine, Cheikh Gueye, Laurent Pujo-Menjouet, Sorin Ionel Ciuperca

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引用次数: 0

摘要

摘要在这项工作中，我们考虑了在阿尔茨海默病中发挥重要作用的a β-单体和a β原低聚物之间的Becker-Döring-like数学相互作用模型。在这种情况下，两个或多个a β单体自发聚集并形成原低聚物种子的聚类过程被强调。我们证明了从不同时刻的实测数据估计聚类率μ的问题的二次适定性[4]。

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Q-well-posedness of an A$\beta$-protein polymerization model

Abstract. In this work, we consider a Becker-Döring-like mathematical interaction model between Aβ-monomers and Aβ proto-oligomers playing an important role in Alzheimer’s disease. In this context, the clustering process where two or more Aβ-monomers spontaneously aggregate and form a seed of proto-oligomers is highlighted. We prove the quadratic well-posedness [4] of the problem associated with the estimation of clustering rate µ from measured data at different times.

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.