Alzheimer’s disease and the mathematical mind

Q3 Engineering
Travis B. Thompson, Bradley Z. Vigil, Robert S. Young
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引用次数: 0

Abstract

Throughout the 19th and 20th centuries, aided by advances in medical imaging, discoveries in physiology and medicine have added nearly 25 years to the average life expectancy. This resounding success brings with it a need to understand a broad range of age-related health conditions, such as dementia. Today, mathematics, neuroimaging and scientific computing are being combined with fresh insights, from animal models, to study the brain and to better understand the etiology and progression of Alzheimer’s disease, the most common cause of age-related dementia in humans. In this manuscript, we offer a brief primer to the reader interested in engaging with the exciting field of mathematical modeling and scientific computing to advance the study of the brain and, in particular, human AD research.

Statement of Significance Modeling Alzheimer’s disease is a highly interdisciplinary field and finding an effective starting point can be a considerable challenge. To address this challenge, this manuscript briefly highlights some central components of AD related protein pathology, useful classes of mathematical models for brain and AD research and effective computational resources for the practical prospective practitioner.

阿尔茨海默病与数学思维
在 19 世纪和 20 世纪,借助医学成像技术的进步,生理学和医学方面的发现使人类的平均寿命延长了近 25 年。这一巨大成功带来了了解老年痴呆症等一系列与年龄有关的健康问题的需求。如今,数学、神经影像学和科学计算正与动物模型的新见解相结合,用于研究大脑,更好地了解阿尔茨海默病的病因和发展过程,阿尔茨海默病是人类最常见的老年痴呆症。在本手稿中,我们将为有兴趣参与数学建模和科学计算这一令人兴奋的领域以推进大脑研究,特别是人类阿尔茨海默病研究的读者提供一个简短的入门指南。 意义声明 阿尔茨海默病建模是一个高度跨学科的领域,找到一个有效的起点可能是一个相当大的挑战。为了应对这一挑战,本手稿简要介绍了与阿兹海默症相关的蛋白质病理学的一些核心组成部分、大脑和阿兹海默症研究中有用的数学模型类别,以及供实用的前瞻性实践者使用的有效计算资源。
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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来源期刊
Brain multiphysics
Brain multiphysics Physics and Astronomy (General), Modelling and Simulation, Neuroscience (General), Biomedical Engineering
CiteScore
4.80
自引率
0.00%
发文量
0
审稿时长
68 days
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