Waiting for a Mathematical Theory of Living Systems from a Critical Review to Research Perspectives Burini, Diletta Bellomo, Nicola Living systems Active particles Complexity Collective dynamics Multiscale vision 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. 2023-03-30T07:15:41Z 2023-03-30T07:15:41Z 2023-01-27 info:eu-repo/semantics/article Burini, D.; Chouhad, N.; Bellomo, N. Waiting for a Mathematical Theory of Living Systems from a Critical Review to Research Perspectives. Symmetry 2023, 15, 351. [https://doi.org/10.3390/sym15020351] https://hdl.handle.net/10481/80934 10.3390/sym15020351 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional MDPI