阿尔茨海默病中的 Aβ 蛋白聚合：成核参数估计的优化控制。

IF 1.9 4区数学 Q2 BIOLOGY

Journal of Theoretical Biology Pub Date : 2024-04-26 DOI:10.1016/j.jtbi.2024.111814

Ciuperca S. Ionel , Moncef Mahjoub , Tine Léon Matar

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引用次数: 0

摘要

在本文中，我们从淀粉样蛋白级联假说的角度对阿尔茨海默病的建模感兴趣，其中致病因子是低聚物形式的 Aβ 蛋白。这种致病形式的形成动力学模型是 Becker-Doring 型模型，其中 APP（淀粉样前体蛋白）蛋白在被特定酶裂解后形成单体 Aβ 蛋白，单体 Aβ 蛋白通过聚合和/或成核形成低聚 Aβ。我们提出了一个优化控制问题，以估算成核率，这似乎是淀粉样蛋白级联假说的基础，但目前还没有（实验）测量数据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Aβ-protein polymerization in Alzheimer disease: Optimal control for nucleation parameter estimation

In this paper, we are interested in the modeling of Alzheimer’s disease from the angle of the amyloid cascade hypothesis, where the pathogenic agent is the A $β$ protein in its oligomeric form. The formation dynamics of this pathogenic form is modeled by a Becker–Doring type model where APP (Amyloid Precursor Protein) protein, after cleavage by specific enzymes, forms monomeric A $β$ proteins, which, by polymerization and/or nucleation, lead to the formation of oligomeric A $β$ . We propose an optimal control problem to estimate the rate of nucleation which seems to be at the base of this amyloid cascade hypothesis and for which no (experimental) measurement exists for the moment.

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来源期刊

Journal of Theoretical Biology 生物-生物学

CiteScore

4.20

自引率

5.00%

发文量

218

审稿时长

51 days

期刊介绍： The Journal of Theoretical Biology is the leading forum for theoretical perspectives that give insight into biological processes. It covers a very wide range of topics and is of interest to biologists in many areas of research, including: • Brain and Neuroscience • Cancer Growth and Treatment • Cell Biology • Developmental Biology • Ecology • Evolution • Immunology, • Infectious and non-infectious Diseases, • Mathematical, Computational, Biophysical and Statistical Modeling • Microbiology, Molecular Biology, and Biochemistry • Networks and Complex Systems • Physiology • Pharmacodynamics • Animal Behavior and Game Theory Acceptable papers are those that bear significant importance on the biology per se being presented, and not on the mathematical analysis. Papers that include some data or experimental material bearing on theory will be considered, including those that contain comparative study, statistical data analysis, mathematical proof, computer simulations, experiments, field observations, or even philosophical arguments, which are all methods to support or reject theoretical ideas. However, there should be a concerted effort to make papers intelligible to biologists in the chosen field.