On Some Dynamical Properties of a Seven-Dimensional Cancer Model with Immunotherapy
From MaRDI portal
Publication:5416511
DOI10.1142/S0218127414500205zbMath1287.34041MaRDI QIDQ5416511
Antonio Villegas, Konstantin E. Starkov
Publication date: 21 May 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Localization Method of Compact Invariant Sets with Application to the Chua System, Ultimate dynamics of the Kirschner-Panetta model: tumor eradication and related problems, On the global dynamics of a chronic myelogenous leukemia model, Global stability and tumor clearance conditions for a cancer chemotherapy system, A Cancer Model for the Angiogenic Switch and Immunotherapy: Tumor Eradication in Analysis of Ultimate Dynamics, On dynamic tumor eradication conditions under combined chemical/anti-angiogenic therapies, Global dynamics of a breast cancer competition model, Unnamed Item, Dynamics of breast cancer under different rates of chemoradiotherapy
Cites Work
- Localization of hidden Chua's attractors
- Modeling immunotherapy of the tumor -- immune interaction
- Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
- Estimations of domains with cycles
- The dynamics of an optimally controlled tumor model: A case study
- On immunotherapies and cancer vaccination protocols: a mathematical modelling approach
- Global dynamics of the Kirschner-Panetta model for the tumor immunotherapy
- A mathematical model of cancer treatment by immunotherapy
- Localization of compact invariant sets of the Lorenz system
- Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
- A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
- ON THE GLOBAL DYNAMICS OF THE OWEN–SHERRATT MODEL DESCRIBING THE TUMOR–MACROPHAGE INTERACTIONS
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow