Space-velocity thermostatted kinetic theory model of tumor growth

DOI10.3934/mbe.2021279zbMath1501.92015OpenAlexW3174778416MaRDI QIDQ2092013

Annie Lemarchand, Léon Masurel, Carlo Bianca

Publication date: 2 November 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021279

zbMATH Keywords

oscillationscancerimmune systemkinetic Monte Carlo simulationsthermostatted kinetic theory

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Pathology, pathophysiology (92C32)

Cites Work

• Unnamed Item
• The role of nonconservative interactions in the asymptotic limit of thermostatted kinetic models
• On the coupling of steady and adaptive velocity grids in vehicular traffic modelling
• The Kac equation with a thermostatted force field
• Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours
• Delay-induced oscillatory dynamics of tumour-immune system interaction
• Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions
• Global well-posedness and pattern formations of the immune system induced by chemotaxis
• Mathematical modeling of tumor growth: the MCF-7 breast cancer cell line
• Non-local multiscale approach for the impact of go or grow hypothesis on tumour-viruses interactions
• On the learning control effects in the cancer-immune system competition
• A nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity
• Density evolution by the low-field limit of kinetic frameworks with thermostat and mutations
• Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays
• Particle, kinetic, and hydrodynamic models of swarming

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