A study in Alzheimer’s disease model for pathological effect of oligomers on the interplay between [formula omitted]-amyloid and Ca2＋

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-11-30 DOI:10.1016/j.aml.2024.109407

Mingyan Dong, Yongxin Zhang, Gui-Quan Sun, Zun-Guang Guo, Jiao Zhang

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引用次数: 0

Abstract

Alzheimer’s disease (AD) is characterized by the progressive deposition of β-amyloid (Aβ) plaques in the brain, where the Aβ oligomers have been confirmed to produce the critical cytotoxicity during the disease process. In this study, a model is established to describe the effect of Aβ oligomers on the interplay between Aβ and Ca2＋. Mathematical analysis demonstrates the existence and stability of the equilibria and the conditions under which backward bifurcation and saddle–node bifurcation occur are proposed. In addition, the aggregate reproduction number R0 is introduced to characterize the progression of AD. These results may offer valuable insights for studying AD-related medical strategies.

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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.