Waiting for a Mathematical Theory of Living Systems from a Critical Review to Research Perspectives

This paper presents a survey of advanced concepts and research perspectives, of a philosophical-mathematical approach to describe the dynamics of systems of many interacting living entities. The first part introduces the general conceptual framework. Then, a critical analysis of the existing literature is developed and referred to a multiscale view of a mathematics of living organisms. This paper attempts to understand how far the present state-of-the-art is far from the achievement of such challenging objective. The overall study leads to identify research perspectives and possible hints to deal with them.

Automated summary

This paper presents advanced concepts and research perspectives on the dynamics of systems of many interacting living entities using a philosophical-mathematical approach. The first part introduces the general conceptual framework, followed by a critical analysis of existing literature relating to a multiscale view of mathematics in living organisms. The paper aims to understand how distant the current state-of-the-art is from achieving this challenging objective. The overall study identifies research perspectives and provides possible hints to address them.