Chemotherapeutic treatments: A study of the interplay among drug resistance, toxicity and recuperation from side effects

DOI10.1007/BF02462001zbMath0899.92024MaRDI QIDQ1361432

M. I. S. Costa, José Luiz Boldrini

Publication date: 1997

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

cancer chemotherapydrug resistancecontrol of tumor growth

Mathematics Subject Classification ID

Differential games and control (49N70) Medical applications (general) (92C50) Control/observation systems governed by ordinary differential equations (93C15) Pursuit and evasion games (49N75)

Related Items (10)

Dynamical analysis of chemotherapy models with time-dependent infusion ⋮ Conflicting objectives in chemotherapy with drug resistance ⋮ A mathematical model of chemotherapy with variable infusion ⋮ The dynamics of an optimally controlled tumor model: A case study ⋮ A survey of optimization models on cancer chemotherapy treatment planning ⋮ Stability analysis of a chemotherapy model with delays ⋮ TUMOR/IMMUNE SYSTEM COMPETITION WITH MEDICALLY INDUCED ACTIVATION/DEACTIVATION ⋮ The dynamics of war between benign cells, malignant cells, and killer agents ⋮ TUMOR/IMMUNE SYSTEM COMPETITION WITH MEDICALLY INDUCED ACTIVATION/DEACTIVATION ⋮ Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures

Cites Work

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• Optimal control for a cancer chemotherapy problem with general growth and loss functions
• Role of optimal control theory in cancer chemotherapy
• A model for the resistance of tumor cells to cancer chemotherapeutic agents
• Optimal control analysis in the chemotherapy of IgG multiple myeloma
• Mathematical approaches to optimization of cancer chemotherapy
• Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
• Dynamics of tumor interaction with the host immune system
• Tumor growth \textit{in vivo} and as multicellular spheroids compared by mathematical models
• Drug kinetics and drug resistance in optimal chemotherapy
• Chemotherapeutic treatments involving drug resistance and level of normal cells as a criterion of toxicity
• Some optimal control problems in cancer chemotherapy with a toxicity limit
• A stochastic model for the origin and treatment of tumors containing drug-resistant cells
• Optimization and nonsmooth analysis

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