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年龄相关性黄斑变性中的胆固醇调节: 软斑生物发生的数学建模框架。

Cholesterol Regulation in Age-Related Macular Degeneration: A Framework for Mathematical Modelling of Drusen Biogenesis.

机构信息

School of Mathematical Sciences, Queensland University of Technology, Brisbane, Qld, 4000, Australia.

Institute of Health and Biomedical Innovation (IHBI), 60 Musk Avenue, Kelvin Grove, Qld, 4059, Australia.

出版信息

Bull Math Biol. 2020 Oct 12;82(10):135. doi: 10.1007/s11538-020-00812-0.

Abstract

In age-related macular degeneration (AMD), there is, in common with many other age-related diseases, the need to distinguish between changes in the ageing eye that lead to disease and those changes that are considered part of a healthy, ageing eye. Various studies investigating the multitude of mechanisms involved in the aetiology of AMD exist within the field of ophthalmology and related medical fields, yet many aspects of it remain poorly understood and only a limited number of therapies are available. A recent study relates drusen's topographically cellular characteristics to the neural retina's metabolic needs and associated cholesterol involvement within the retina. In particular, there is a need to fully understand the maintenance of cholesterol homeostasis in the retina to prevent normal ageing processes from being perturbed towards maculopathy. Here, we present an extensive review of the clinical and physiological features of the ageing retina, as well as mechanisms implicated in pathology, synthesised from a vast body of the published literature. We use this novel synthesis to construct a comprehensive process schematic, encompassing all key species and physiological processes such as nutrients, waste and lipoprotein management. We are therefore able to express these processes in a mathematical language via a comprehensive modelling framework, comprising a set of twenty-three equations spanning three distinct biological compartments. This very general modelling framework may now be adapted to more focused studies on individual mechanisms, processes or components underlying of the many facets of AMD. As an example of such a focused application, we conclude this article with a one-compartment, four-species model of the retinal pigment epithelium, which considers the parametric conditions under which either cholesterol homeostasis or unregulated accumulation of cholesterol may obtain in the ageing eye.

摘要

在年龄相关性黄斑变性 (AMD) 中,与许多其他与年龄相关的疾病一样,需要区分导致疾病的衰老眼变化和被认为是健康衰老眼的一部分的变化。在眼科和相关医学领域内,有各种研究调查 AMD 发病机制中涉及的多种机制,但其中许多方面仍未得到很好的理解,并且仅有有限数量的疗法可用。最近的一项研究将玻璃膜疣的拓扑细胞特征与神经视网膜的代谢需求以及视网膜内相关胆固醇参与联系起来。特别是,需要充分了解视网膜中胆固醇稳态的维持,以防止正常衰老过程向黄斑病变转移。在这里,我们从大量已发表的文献中广泛综述了衰老视网膜的临床和生理特征,以及与病理学相关的机制。我们使用这种新的综合方法构建了一个全面的过程示意图,包括所有关键物种和生理过程,如营养物质、废物和脂蛋白管理。因此,我们可以通过一个包含二十三个方程的综合模型框架,用一种数学语言来表达这些过程,该模型框架涵盖三个不同的生物区室。这个非常通用的模型框架现在可以适应于更集中的研究个体机制、过程或 AMD 众多方面下的组成部分。作为这种集中应用的一个例子,我们在本文的最后以一个考虑了视网膜色素上皮中胆固醇稳态或不受控制的胆固醇积累在衰老眼中可能获得的参数条件的单室四物种模型为例进行总结。

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