Design of optimal cancer chemotherapy using a continuous-time state model of cell kinetics

DOI10.1016/0025-5564(82)90024-4zbMath0486.92007OpenAlexW2090948833MaRDI QIDQ1165178

Richard Pado, Kang G. Shin

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0025-5564(82)90024-4

zbMATH Keywords

two-point boundary-value problembang-bang control policyChinese-hamster-ovary cell populationcontinuous-time state model of cell kineticsoptimal cancer chemotherapytumor-cell population

Mathematics Subject Classification ID

Medical applications (general) (92C50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (5)

Singularity of optimal control in some problems related to optimal chemotherapy ⋮ Optimal control for a cancer chemotherapy problem with general growth and loss functions ⋮ Role of optimal control theory in cancer chemotherapy ⋮ Scheduling the adjuvant endocrine therapy for early stage breast cancer ⋮ Mathematical model of cancer chemotherapy. Periodic schedules of phase- specific cytotoxic-agent administration increasing the selectivity of therapy

Cites Work

• Unnamed Item
• A theoretical and computational method for determining optimal treatment schedules in fractionated radiation therapy
• Optimal control analysis in the chemotherapy of IgG multiple myeloma
• Estimation of cell kinetic parameters from flow microfluorometry
• Tumor growth and chemotherapy: Mathematical methods, computer simulations, and experimental foundations
• Optimal control of multiplicative control systems arising from cancer therapy
• Natural Bilinear Control Processes

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