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Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives

✍ Scribed by N. Bellomo; B. Carbonaro

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
206 KB
Volume
8
Category
Article
ISSN
1571-0645

No coin nor oath required. For personal study only.

✦ Synopsis

This review paper is devoted to present a personal perspective, based on a critical analysis of the existing literature, about the conceptual difficulties that mathematics meets when attempting to describe the complexity of living matter focusing on the challenging goal of developing a mathematical theory for living systems. The authors propose a personal path, starting from the identification of a number of common features of living systems that can be viewed as sources of complexity, firstly in general, and subsequently focusing specifically on evolution problems. Further, three key questions are posed addressing to a mathematical theory. Finally, the tools of the kinetic theory of active particles are critically analyzed to understand how far this approach still is from the achievement of the afore said ambitious objective.

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As is well known, physiology is the science of the mechanical, physical, and biochemical functions of living systems. It is a subcategory of biology. In physiology, the scientific method is applied to determine how organisms, organ systems, organs, cells and bio-molecules carry out the chemical or p

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In my opinion, this is a fascinating piece of work that provides a mathematician viewpoint on the impact of Mathematics on Life Sciences, a subject which is widely acknowledged to be one of the major scientific challenges of the XXI century. The title of [1] explicitly refers to a mathematical theo

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Looking for a mathematics for living systems: Reply to comments on “Towards a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives”
✍ N. Bellomo; B. Carbonaro 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 105 KB

This note is motivated by various commentaries which have critically analyzed our contribution to a personal perspective on the conceptual difficulties that mathematics meets when attempting to describe the complexity of living matter, and specifically on the challenging goal of developing a mathema