Optimal scheduling for cell synchronization by cycle-phase-specific blockers

DOI10.1016/0025-5564(83)90087-1zbMath0526.92002OpenAlexW2017665839MaRDI QIDQ594788

L. I. Churikova, Yu. A. Neyfakh, B. F. Dibrov, A. M. Zhabotinsky, M. P. Orlova

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0025-5564(83)90087-1

zbMATH Keywords

bang-bang controlPontryagin maximum principledifference-differential equationsoptimal schedulingcancer chemotherapycell synchronizationcycle-phase-specific blockersgeneral kinetic model of cell cyclestationary populations

Mathematics Subject Classification ID

Medical applications (general) (92C50) Population dynamics (general) (92D25) Control problems for functional-differential equations (34K35) Optimality conditions (49K99)

Related Items (6)

Estimation and prediction of cell cycle specific effects of anticancer drugs ⋮ Parameter-dependent transitions and the optimal control of dynamical diseases ⋮ Role of optimal control theory in cancer chemotherapy ⋮ THREE TYPES OF SIMPLE DDE'S DESCRIBING TUMOR GROWTH ⋮ Mathematical model of cancer chemotherapy. Periodic schedules of phase- specific cytotoxic-agent administration increasing the selectivity of therapy ⋮ Resonance phenomena in cell population chemotherapy models

Cites Work

• Mathematical models of the cell cycle with a view to tumor studies
• A method for the measurement of variability in cell lifetimes
• Tumor growth and chemotherapy: Mathematical methods, computer simulations, and experimental foundations
• ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS
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