论文标题

为什么我们应该在衰老中使用拓扑数据分析:定义“衰老的拓扑形状”

Why we should use Topological Data Analysis in Ageing: towards defining the "Topological shape of ageing"

论文作者

Fülöp, Tamàs, Desroches, Mathieu, Santos, Fernando Antônio Nóbrega, Rodrigues, Serafim

论文摘要

生活系统受时间的箭头约束;从出生开始,他们会在不断生存的战斗中进行复杂的转变(自组织),但不可避免地衰老和疾病将其诱使死亡。衰老可以被理解并最终逆转吗?可以使用哪些工具来进一步了解我们对衰老的理解?本文是邀请生物学家和临床医生考虑关键的概念思想和计算工具(数学家和物理学家已知)的邀请,这可能有助于剖析一些衰老和疾病的基本过程。具体而言,我们首先讨论如何对复杂系统进行分类和分析,并突出显示使复杂系统难以研究的关键理论困难。随后,我们引入了拓扑数据分析 - 一种新型的大数据工具 - 可能有助于研究复杂系统,因为它通过拓扑考虑以整体方法从数据中提取知识。这些概念思想和工具以一种非正式的方式进行讨论,以铺平数学家与研究衰老的生物学家之间的讨论和合作。

Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and disease trap them to death. Can ageing be understood and eventually reversed? What tools can be employed to further our understanding of ageing? The present article is an invitation for biologists and clinicians to consider key conceptual ideas and computational tools (known to mathematicians and physicists), which potentially may help dissect some of the underlying processes of ageing and disease. Specifically, we first discuss how to classify and analyze complex systems, as well as highlight critical theoretical difficulties that make complex systems hard to study. Subsequently, we introduce Topological Data Analysis - a novel Big Data tool - which may help in the study of complex systems since it extracts knowledge from data in a holistic approach via topological considerations. These conceptual ideas and tools are discussed in a rather informal way to pave future discussions and collaborations between mathematicians and biologists studying ageing.

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