On the mathematical kinetic theory of active particles with discrete states: The derivation of macroscopic equations
From MaRDI portal
Publication:2476719
DOI10.1016/j.mcm.2006.01.025zbMath1130.92006OpenAlexW1594055525MaRDI QIDQ2476719
Abdelghani Bellouquid, Nicola Bellomo
Publication date: 12 March 2008
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2006.01.025
Applications of statistical mechanics to specific types of physical systems (82D99) General biology and biomathematics (92B05) Mathematical biology in general (92B99)
Related Items
Three-scale convergence for processes in heterogeneous media ⋮ From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models ⋮ Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity
Cites Work
- Unnamed Item
- 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
- Models of dispersal in biological systems
- On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
- From a class of kinetic models to the macroscopic equations for multicellular systems in biology
- Evolution of populations playing mixed multiplayer games
- On the discrete kinetic theory for active particles. Mathematical tools
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- AN EXPLICIT SUBPARAMETRIC SPECTRAL ELEMENT METHOD OF LINES APPLIED TO A TUMOUR ANGIOGENESIS SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS
- LIMIT BEHAVIOUR OF A DENSE COLLECTION OF VORTEX FILAMENTS
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
- From Signal Transduction to Spatial Pattern Formation inE. coli: A Paradigm for Multiscale Modeling in Biology
- 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
- ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
- FROM DISCRETE KINETIC AND STOCHASTIC GAME THEORY TO MODELLING COMPLEX SYSTEMS IN APPLIED SCIENCES
- 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
- Brownian agents and active particles. Collective dynamics in the natural and social sciences. With a foreword by J. Doyne Farmer.