Active Particle Methods toward Modelling Living Systems

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Life Sciences".

Deadline for manuscript submissions: 31 January 2025 | Viewed by 3853

Special Issue Editor


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Guest Editor
1. Distinguished Professor, University of Granada, Granada, Spain
2. Professor Emeritus, Polytechnic University of Torino, Torino, Italy
Interests: kinetic theory; cancer modelling; social systems; crowd dynamics
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Special Issue Information

Dear Colleagues,

The modelling and simulation of living systems is one of the great scientific challenges of this century. It is not an easy task, as the tools generally used to describe the dynamics of inert matter rely on physical theories, which are missing in the case of living systems.

This conceptual difficulty was already posed by Immanuel Kant (1724—1804) who proposed the following definition: Living Systems: Special structures organized and with the ability to chase a purpose.

Analogous concepts were pragmatically related to modern research by Nobel Laureate Lee Hartwell (born 1939), who bears in mind that the mathematical approach to the description of the dynamics of inert matter cannot be straightforwardly applied to living systems: Biological systems are very different from the physical or chemical systems of the inanimate matter. In fact, although living systems obey the laws of physics and chemistry, the notion of function or purpose differentiate biology from other natural sciences.

Indeed, Erwin Schrodinger (1887—1961) observed that Living systems have the ability to extract entropy to keep their own at low levels.

This Special Issue aims to present scientific articles devoted to the modelling and simulation of large systems of interacting living entities by active particle methods. We encourage a multiscale vision and interpretation of mathematical models of living systems, from the micro-scale to collective behaviors, and organized networks. Applications can be addressed to the study of systems where human behaviors and heterogeneity have a significant influence on collective dynamics. Specifically, the following scientific fields will be considered: social dynamics, collective learning, biology, epidemiology, virology, human crowds, and artificial intelligence.

The study of new concepts of symmetry and asymmetry is planned, looking ahead to the possible future of the science of living systems by using advanced tools of mathematics, physics, and computer science.

Prof. Dr. Nicola Bellomo
Guest Editor

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Published Papers (2 papers)

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Research

14 pages, 8711 KiB  
Article
Kant’s Modal Asymmetry between Truth-Telling and Lying Revisited
by José F. Fontanari
Symmetry 2023, 15(2), 555; https://doi.org/10.3390/sym15020555 - 20 Feb 2023
Cited by 2 | Viewed by 1667
Abstract
The modal asymmetry between truth-telling and lying refers to the impossibility of a world in which everyone lies, while on the contrary, a world in which everyone tells the truth is possible. This ethical issue is relevant to modern concerns about epistemic security, [...] Read more.
The modal asymmetry between truth-telling and lying refers to the impossibility of a world in which everyone lies, while on the contrary, a world in which everyone tells the truth is possible. This ethical issue is relevant to modern concerns about epistemic security, or the safety of knowledge. The breakdown of epistemic security leads to the erosion of trust and, hence, to an ‘impossible’ world since a willingness to believe in others is essential for the functioning of society. Here, we examine the threat of disinformation to epistemic security using an individual-based model in which individuals are both senders and receivers of signals and are characterized by their credulity and deceptiveness, which are targets of natural selection. The possible worlds are those favored by natural selection. Lies that significantly harm believers lead to the Kantian scenario: trust is completely eroded and the winners of the evolutionary race are incredulous. However, if the lies are not too harmful, our game evolutionary model predicts a world in which the individuals are both credulous and mildly untruthful. These two possible worlds are separated by a discontinuous phase transition in the limit of infinite population size. Full article
(This article belongs to the Special Issue Active Particle Methods toward Modelling Living Systems)
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13 pages, 340 KiB  
Article
Waiting for a Mathematical Theory of Living Systems from a Critical Review to Research Perspectives
by Diletta Burini, Nadia Chouhad and Nicola Bellomo
Symmetry 2023, 15(2), 351; https://doi.org/10.3390/sym15020351 - 27 Jan 2023
Cited by 6 | Viewed by 1481
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Active Particle Methods toward Modelling Living Systems)
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