Bifurcation analysis for a mean field modelling of tumor and immune system competition
From MaRDI portal
Publication:1433134
DOI10.1016/S0895-7177(03)00125-0zbMath1045.92029MaRDI QIDQ1433134
Elena De Angelis, Marcello Delitala, Antonio Romano, Addolorata Marasco
Publication date: 15 June 2004
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Bifurcations in context of PDEs (35B32) Applications of statistical mechanics to specific types of physical systems (82D99)
Related Items
On immunotherapies and cancer vaccination protocols: a mathematical modelling approach, Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control, Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor-immune interactions, The Aronson-Bénilan estimate in Lebesgue spaces, The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives, Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review, Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation, Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles, MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION, A Feedback Control Model of Comprehensive Therapy for Treating Immunogenic Tumours, A Mathematical Model of Gene Therapy for the Treatment of Cancer, ON A MATHEMATICAL THEORY OF COMPLEX SYSTEMS ON NETWORKS WITH APPLICATION TO OPINION FORMATION
Cites Work
- Role of optimal control theory in cancer chemotherapy
- Dynamics of tumor interaction with the host immune system
- Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
- Critical analysis and perspectives on kinetic (cellular) theory of immune competition
- Modeling in applied sciences. A kinetic theory approach
- QUALITATIVE ANALYSIS OF A MEAN FIELD MODEL OF TUMOR-IMMUNE SYSTEM COMPETITION
- STRATEGIES OF APPLIED MATHEMATICS TOWARDS AN IMMUNO-MATHEMATICAL THEORY ON TUMORS AND IMMUNE SYSTEM INTERACTIONS
- BEHAVIORAL DYNAMICS OF TWO INTERACTING HAWK–DOVE POPULATIONS
- MODELLING OF THE IMMUNE RESPONSE: CONCEPTUAL FRAMEWORKS AND APPLICATIONS
- GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
