@misc{10481/80934, year = {2023}, month = {1}, url = {https://hdl.handle.net/10481/80934}, abstract = {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.}, organization = {University of Granada}, organization = {Spanish Government RTI2018-098850-B-I00}, organization = {Junta de Andalucya (Spain) B-FQM-580-UGR20 PY18-RT-2422 A-FQM-311-UGR18}, publisher = {MDPI}, keywords = {Living systems}, keywords = {Active particles}, keywords = {Complexity}, keywords = {Collective dynamics}, keywords = {Multiscale vision}, title = {Waiting for a Mathematical Theory of Living Systems from a Critical Review to Research Perspectives}, doi = {10.3390/sym15020351}, author = {Burini, Diletta and Bellomo, Nicola}, }