Singularity of optimal control in some problems related to optimal chemotherapy

DOI10.1016/0895-7177(94)90197-XzbMath0795.92014OpenAlexW2068110381MaRDI QIDQ1327291

Z. Duda, Andrzej Swierniak

Publication date: 18 July 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90197-x

zbMATH Keywords

cancer chemotherapybilinear modelscytostatic activitiesdrug activityGompertz-type growthreaction of critical normal tissuessingular control solutions

Mathematics Subject Classification ID

Differential games and control (49N70) Medical applications (general) (92C50) Pursuit and evasion games (49N75)

Related Items (6)

The influence of fixed and free final time of treatment on optimal chemotherapeutic protocols ⋮ Constrained bilinear control problem: Application to a cancer chemotherapy model ⋮ Optimal control problems for differential equations applied to tumor growth: state of the art ⋮ Optimal policies of non-cross-resistant chemotherapy on Goldie and Coldman's cancer model ⋮ The dynamics of an optimally controlled tumor model: A case study ⋮ Optimal bounded controls problem for bilinear systems

Cites Work

• Unnamed Item
• Role of optimal control theory in cancer chemotherapy
• Design of optimal cancer chemotherapy using a continuous-time state model of cell kinetics
• Optimal control analysis in the chemotherapy of IgG multiple myeloma
• Optimal control of multiplicative control systems arising from cancer therapy

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