Optimal control of tumor size used to maximize survival time when cells are resistant to chemotherapy
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Publication:1196632
DOI10.1016/0025-5564(92)90038-XzbMath0754.92012OpenAlexW2039766809WikidataQ44456843 ScholiaQ44456843MaRDI QIDQ1196632
R. F. Minchin, Michael E. Fisher, Kok Lay Teo, R. Bruce Martin
Publication date: 16 January 1993
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(92)90038-x
chemotherapydrug resistanceexponential tumor growthtumor growth modelfeedback controlssurvival timeanticancer drugsGompertz tumor growthlogistic tumor growthoptimal tumor mass
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Cites Work
- A model for the resistance of tumor cells to cancer chemotherapeutic agents
- The effect of cellular differentiation on the development of permanent drug resistance
- The transient solution of the linear birth-death process with random spontaneous mutation
- A stochastic model for the origin and treatment of tumors containing drug-resistant cells
- Functional analysis and time optimal control
- On Certain Questions in the Theory of Optimal Control
- Unnamed Item
