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 …
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 …
which focuses on how the system properties emerge from the elementary interaction …
[HTML][HTML] A kinetic framework under the action of an external force field: Analysis and application in epidemiology
The tools of kinetic theory allow to describe the dynamics and evolution of a system
composed of stochastically interacting particles. The interaction is modeled by means of two …
composed of stochastically interacting particles. The interaction is modeled by means of two …
Modelling pedestrian dynamics into a metro station by thermostatted kinetic theory methods
C Bianca, C Mogno - Mathematical and Computer Modelling of …, 2018 - Taylor & Francis
This paper deals with the modelling of pedestrian dynamics at the entry of a metro station by
means of the thermostatted kinetic theory framework. Specifically, the model depicts the time …
means of the thermostatted kinetic theory framework. Specifically, the model depicts the time …
A thermostatted kinetic theory model for event-driven pedestrian dynamics
C Bianca, C Mogno - The European Physical Journal Plus, 2018 - Springer
This paper is devoted to the modeling of the pedestrian dynamics by means of the
thermostatted kinetic theory. Specifically the microscopic interactions among pedestrians …
thermostatted kinetic theory. Specifically the microscopic interactions among pedestrians …
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 …
framework of probability measures. Specifically well-posedness of the Cauchy problem …
On the Cauchy problem of vectorial thermostatted kinetic frameworks
C Bianca, B Carbonaro, M Menale - Symmetry, 2020 - mdpi.com
This paper is devoted to the derivation and mathematical analysis of new thermostatted
kinetic theory frameworks for the modeling of nonequilibrium complex systems composed by …
kinetic theory frameworks for the modeling of nonequilibrium complex systems composed by …
Characterization of collision avoidance in pedestrian crowds
D Zhang, H Zhu, S Qiu, B Wang - Mathematical Problems in …, 2019 - Wiley Online Library
The avoidance behavior of pedestrians was characterized in the present paper by
simulating the movement of crowds in both unidirectional and bidirectional pedestrian flow …
simulating the movement of crowds in both unidirectional and bidirectional pedestrian flow …
Existence and uniqueness of nonequilibrium stationary solutions in discrete thermostatted models
C Bianca, M Menale - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
This paper deals with the mathematical proof of the existence of the nonequilibrium
stationary states in complex systems subjected to external force fields. Specifically the …
stationary states in complex systems subjected to external force fields. Specifically the …
[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 …
data for the discrete thermostatted kinetic framework, for all T> 0. This is a versatile model for …