[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 …

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 …

Thermostatted kinetic theory in measure spaces: Well-posedness

C Bianca, N Saintier - Nonlinear Analysis, 2025 - Elsevier
This paper is devoted to the generalization of the thermostatted kinetic theory within the
framework of probability measures. Specifically well-posedness of the Cauchy problem …

[PDF][PDF] The mathematical analysis towards the dependence on the initial data for a discrete thermostatted kinetic framework for biological systems composed of …

M Menale, B Carbonaro - AIMS Biophys, 2020 - aimspress.com
This paper is devoted to a mathematical proof of the continuous dependence on the initial
data for the discrete thermostatted kinetic framework, for all T> 0. This is a versatile model for …

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 …

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 …

[PDF][PDF] On the Initial-Boundary-Value Problem and Moments Evolution in a Thermostatted Framework with Nonhomogeneous Boundary Conditions

C Bianca, M Menale - Appl. Math, 2022 - naturalspublishing.com
This paper is devoted to the construction of a generalized termostat term for a kinetic theory
framework of the thermostatted theory for active particles. Specifically the novelty of this …

[PDF][PDF] On the Existence of Self-Similar Solutions in the Thermostatted Kinetic Theory with Unbounded Activity Domain. Mathematics 2022, 10, 1407

C Bianca, M Menale - 2022 - academia.edu
This paper is devoted to the mathematical analysis of a spatially homogeneous
thermostatted kinetic theory framework with an unbounded activity domain. The framework …

On the Existence of Self-Similar Solutions in the Thermostatted Kinetic Theory with Unbounded Activity Domain

C Bianca, M Menale - Mathematics, 2022 - mdpi.com
This paper is devoted to the mathematical analysis of a spatially homogeneous
thermostatted kinetic theory framework with an unbounded activity domain. The framework …