A mathematical model of cancer chemotherapy with an optimal selection of parameters

DOI10.1016/0025-5564(90)90005-JzbMath0724.92016OpenAlexW2076385462WikidataQ52486578 ScholiaQ52486578MaRDI QIDQ2277189

R. Bruce Martin, R. F. Minchin, Michael E. Fisher, Kok Lay Teo

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0025-5564(90)90005-j

zbMATH Keywords

tumor sizedrug toxicityoptimal parameter selection model of cancer chemotherapy

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical methods based on nonlinear programming (49M37) Application models in control theory (93C95) Medical applications (general) (92C50) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Optimal drug regimens in cancer chemotherapy for single drugs that block progression through the cell cycle ⋮ Dynamical analysis of chemotherapy models with time-dependent infusion ⋮ Conceptual frameworks for mathematical modeling of tumor growth dynamics ⋮ Chemotherapy and immunotherapy for tumors: a study of quadratic optimal control ⋮ Role of optimal control theory in cancer chemotherapy ⋮ The dynamics of an optimally controlled tumor model: A case study ⋮ A survey of optimization models on cancer chemotherapy treatment planning ⋮ Low-intensity combination chemotherapy maximizes host survival time for tumors containing drug-resistant cells ⋮ Therapy strategy in tumour cells and immune system interaction mathematical model ⋮ Dynamical analysis of tumor-immune-help T cells system ⋮ Multiobjective approach in the treatment of cancer ⋮ Analyzing the quality robustness of chemotherapy plans with respect to model uncertainties ⋮ Optimal control oriented to therapy for a free-boundary tumor growth model

Uses Software

• NLPQL

Cites Work

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