A decade of thermostatted kinetic theory models for complex active matter living systems

C Bianca - Physics of Life Reviews, 2024 - Elsevier
In the last decade, the thermostatted kinetic theory has been proposed as a general
paradigm for the modeling of complex systems of the active matter and, in particular, in …

[HTML][HTML] Thermostatted Kinetic Theory Structures in Biophysics: Generalizations and Perspectives

C Bianca - AppliedMath, 2024 - mdpi.com
The mathematical modeling of multicellular systems is an important branch of biophysics,
which focuses on how the system properties emerge from the elementary interaction …

A new ODE-based model for tumor cells and immune system competition

SA Alharbi, AS Rambely - Mathematics, 2020 - mdpi.com
Changes in diet are heavily associated with high mortality rates in several types of cancer. In
this paper, a new mathematical model of tumor cells growth is established to dynamically …

A nonconservative kinetic framework under the action of an external force field: Theoretical results with application inspired to ecology

B Carbonaro, M Menale - European Journal of Applied Mathematics, 2023 - cambridge.org
The present paper deals with the kinetic-theoretic description of the evolution of systems
consisting of many particles interacting not only with each other but also with the external …

A novel coupled memristive izhikevich neuron model and its complex dynamics

F Jia, P He, L Yang - Mathematics, 2024 - search.proquest.com
This paper proposes a novel, five-dimensional memristor synapse-coupled Izhikevich
neuron model under electromagnetic induction. Firstly, we analyze the global exponential …

A kinetic theory approach to modeling prey–predator ecosystems with expertise levels: analysis, simulations and stability considerations

M Menale, E Venturino - Computational and Applied Mathematics, 2024 - Springer
In this paper a kinetic modeling approach for an ecological system is proposed, based on
the prey–predator structure in terms of individuals experience. Specifically, a system of …

The Role of the Table of Games in the Discrete Thermostatted Kinetic Theory.

C Bianca - Mathematics (2227-7390), 2024 - search.ebscohost.com
This paper is concerned with the mathematical modeling of complex living systems whose
element microscopic state contains variables which can attain discrete values. Specifically …

Markov Chains and Kinetic Theory: A Possible Application to Socio-Economic Problems

B Carbonaro, M Menale - Mathematics, 2024 - mdpi.com
A very important class of models widely used nowadays to describe and predict, at least in
stochastic terms, the behavior of many-particle systems (where the word “particle” is not …

On the Modeling of Energy-Multisource Networks by the Thermostatted Kinetic Theory Approach: A Review with Research Perspectives

C Bianca - Energies, 2022 - mdpi.com
Recently, different mathematical frameworks of the thermostatted kinetic theory approach
have been proposed for the modeling of complex systems. In particular, thermostatted …

Towards the dependence on parameters for the solution of the thermostatted kinetic framework

B Carbonaro, M Menale - Axioms, 2021 - mdpi.com
A complex system is a system involving particles whose pairwise interactions cannot be
composed in the same way as in classical Mechanics, ie, the result of interaction of each …