On a population dynamic model of active cells with direct interaction

DOI10.1051/MMNP/2017077zbMath1458.35428OpenAlexW2783252816MaRDI QIDQ4607607

Ahmed Noussair

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2017077

zbMATH Keywords

numerical analysiskinetic theory of active particlesstructured population dynamicBoltzmann like-type modelscell-to-cell interaction

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Cell biology (92C37) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09)

Cites Work

• Modeling intercellular transfer of biomolecules through tunneling nanotubes
• Modeling complex living systems. A kinetic theory and stochastic game approach.
• Convergence of Numerical Schemes to a Nonlinear Kinetic Model of Population Dynamics with Nonlocal Boundary Conditions
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
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