具有β-淀粉样蛋白低聚物效应的随机阿尔茨海默病模型分析：平稳分布和消失

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-26 DOI:10.1016/j.aml.2025.109581

Baoquan Zhou, Ningzhong Shi

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引用次数: 0

摘要

越来越多的研究表明β-淀粉样蛋白（Aβ）低聚物在阿尔茨海默病（AD）的进展过程中产生至关重要的细胞毒性。本文建立了一个具有a β寡聚物效应的随机AD模型，其中引入Black-Karasinski过程来描述神经生物环境中的随机波动。首先，证明了模型解的适定性和马尔可夫-费勒性质。利用Lyapunov泛函方法和随机稳定性理论，建立了平稳分布存在的充分条件。此外，还提供了Aβ低聚物的指数消光。

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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Analysis of a stochastic Alzheimer’s disease model with β-amyloid oligomer effect: Stationary distribution and extinction

β

-amyloid (A

β

) oligomers have been increasingly shown to produce the crucial cytotoxicity during the progression of Alzheimer’s disease (AD). In this paper, we develop a stochastic AD model with A

β

oligomer effect, where Black–Karasinski process is introduced to describe the random fluctuations in neurobiological environment. First, the well-posedness and Markov–Feller property of the solution of the model are proved. By Lyapunov functional approach and stochastic stability theory, we establish sufficient conditions for the existence of a stationary distribution. Moreover, the exponential extinction of A

β

oligomers is provided.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.