Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity
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Publication:1029169
DOI10.1016/j.mcm.2006.07.005zbMath1165.82319OpenAlexW2042623681MaRDI QIDQ1029169
Nicola Bellomo, Maria Cesarina Salvatori, Silvana De Lillo
Publication date: 9 July 2009
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2006.07.005
Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Population dynamics (general) (92D25) Cell biology (92C37) Animal behavior (92D50)
Related Items (8)
On the kinetic and stochastic games theory for active particles: Some reasonings on open large living systems ⋮ NUMERICAL VERSUS EXPERIMENTAL DATA FOR PROSTATE TUMOUR GROWTH ⋮ From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems ⋮ On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim ⋮ On the kinetic theory for active particles: a model for tumor-immune system competition ⋮ Experimental versus numerical data for breast cancer progression ⋮ Nonlinear modeling with mammographic evidence of carcinoma ⋮ MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES
Cites Work
- Unnamed Item
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- A history of the study of solid tumour growth: the contribution of mathematical modelling
- On the modelling of complex sociopsychological systems with some reasoning about Kate, Jules, and Jim
- Nonlinear models of vehicular traffic flow - new frameworks of the mathematical kinetic theory
- A mathematical model of cellular immune response to leukemia
- A mathematical model for single cell cancer\,--\, immune system dynamics
- A second step towards a stochastic mathematical description of human feelings
- On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
- A nonlinear structured population model of tumor growth with quiescence
- Enskog-like kinetic models for vehicular traffic
- Dynamics of tumor interaction with the host immune system
- From a class of kinetic models to the macroscopic equations for multicellular systems in biology
- Modeling complex systems
- Kinetic (cellular) models of cell progression and competition with the immune system
- Mathematical modeling of tumor-induced angiogenesis
- From microscopic to macroscopic description of multicellular systems and biological growing tissues
- On the discrete kinetic theory for active particles. Mathematical tools
- A dynamical model of electoral competition
- Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles
- On the mathematical kinetic theory of active particles with discrete states: The derivation of macroscopic equations
- Kinetic modelling and electoral competition
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- QUALITATIVE ANALYSIS OF A MEAN FIELD MODEL OF TUMOR-IMMUNE SYSTEM COMPETITION
- On the Distribution of Dominance in Populations of Social Organisms
- Mathematical tools for kinetic equations
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- Stochastic geometry and related statistical problems in biomedicine
- ANALYSIS OF A NEW MODEL FOR TUMOR-IMMUNE SYSTEM COMPETITION INCLUDING LONG-TIME SCALE EFFECTS
- MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION
- MODELLING LIVING FLUIDS WITH THE SUBDIVISION INTO THE COMPONENTS IN TERMS OF PROBABILITY DISTRIBUTIONS
- GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
- FROM THE MATHEMATICAL KINETIC THEORY TO MODELLING COMPLEX SYSTEMS IN APPLIED SCIENCES
- EQUILIBRIUM OF TWO POPULATIONS SUBJECT TO CHEMOTAXIS
- FROM DISCRETE KINETIC AND STOCHASTIC GAME THEORY TO MODELLING COMPLEX SYSTEMS IN APPLIED SCIENCES
- LOOKING FOR NEW PARADIGMS TOWARDS A BIOLOGICAL-MATHEMATICAL THEORY OF COMPLEX MULTICELLULAR SYSTEMS
- TUMOR-IMMUNE SYSTEM INTERACTION: MODELING THE TUMOR-STIMULATED PROLIFERATION OF EFFECTORS AND IMMUNOTHERAPY
- MODELING TUMOR IMMUNOLOGY
- EXISTENCE OF A SOLUTION TO THE CELL DIVISION EIGENPROBLEM
- MODEL HIERARCHIES FOR CELL AGGREGATION BY CHEMOTAXIS
- FROM THE PHYSICAL LAWS OF TUMOR GROWTH TO MODELLING CANCER PROCESSES
- MODELLING THE RESPONSE OF VASCULAR TUMOURS TO CHEMOTHERAPY: A MULTISCALE APPROACH
- Multiscale Modeling and Mathematical Problems Related to Tumor Evolution and Medical Therapy
- EVOLUTIONARY DYNAMICS IN CARCINOGENESIS
- MATHEMATICAL METHODS AND TOOLS OF KINETIC THEORY TOWARDS MODELLING COMPLEX BIOLOGICAL SYSTEMS
- MICRO AND MESO SCALES OF DESCRIPTION CORRESPONDING TO A MODEL OF TISSUE INVASION BY SOLID TUMOURS
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID
- MATHEMATICAL MODELLING OF GLIOBLASTOMA TUMOUR DEVELOPMENT: A REVIEW
- Mathematical models of therapeutical actions related to tumour and immune system competition
- Brownian agents and active particles. Collective dynamics in the natural and social sciences. With a foreword by J. Doyne Farmer.
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