Role of optimal control theory in cancer chemotherapy
- PMID: 2134485
- DOI: 10.1016/0025-5564(90)90021-p
Role of optimal control theory in cancer chemotherapy
Abstract
This paper presents a review of the ways in which optimal control theory interacts with cancer chemotherapy. There are three broad areas of investigation. One involves miscellaneous growth kinetic models, the second involves cell cycle models, and the third is a classification of "other models." Both normal and tumor cell populations are included in a number of the models. The concepts of deterministic optimal control theory are applied to each model in such a way as to present a cohesive picture. There are applications to both experimental and clinical tumors. Suggestions for designing better chemotherapy strategies are presented.
Similar articles
-
Development of optimal drug administration strategies for cancer-chemotherapy in the framework of systems theory.Int J Biomed Comput. 1984 Mar-Apr;15(2):139-50. doi: 10.1016/0020-7101(84)90026-6. Int J Biomed Comput. 1984. PMID: 6724730
-
Chemotherapeutic treatments involving drug resistance and level of normal cells as a criterion of toxicity.Math Biosci. 1995 Feb;125(2):211-28. doi: 10.1016/0025-5564(94)00028-x. Math Biosci. 1995. PMID: 7881195
-
Optimal drug regimens in cancer chemotherapy for single drugs that block progression through the cell cycle.Math Biosci. 1994 Oct;123(2):183-213. doi: 10.1016/0025-5564(94)90011-6. Math Biosci. 1994. PMID: 7827419
-
Are cell kinetic data relevant for the design of tumour chemotherapy schedules?Cell Tissue Kinet. 1974 Sep;7(5):493-504. doi: 10.1111/j.1365-2184.1974.tb00432.x. Cell Tissue Kinet. 1974. PMID: 4607700 Review. No abstract available.
-
Sensitivity of latent cancer to chemotherapy.Med Hypotheses. 1992 Jul;38(3):215-6. doi: 10.1016/0306-9877(92)90097-v. Med Hypotheses. 1992. PMID: 1513276 Review.
Cited by
-
The application of mathematical modelling to aspects of adjuvant chemotherapy scheduling.J Math Biol. 2004 Apr;48(4):375-422. doi: 10.1007/s00285-003-0246-2. Epub 2003 Oct 27. J Math Biol. 2004. PMID: 15052504
-
Fastest time to cancer by loss of tumor suppressor genes.Bull Math Biol. 2014 Nov;76(11):2737-84. doi: 10.1007/s11538-014-0027-7. Epub 2014 Oct 23. Bull Math Biol. 2014. PMID: 25338553 Free PMC article.
-
The value of monitoring to control evolving populations.Proc Natl Acad Sci U S A. 2015 Jan 27;112(4):1007-12. doi: 10.1073/pnas.1409403112. Epub 2015 Jan 13. Proc Natl Acad Sci U S A. 2015. PMID: 25587136 Free PMC article.
-
Genetic, individual, and familial risk correlates of brain network controllability in major depressive disorder.Mol Psychiatry. 2023 Mar;28(3):1057-1063. doi: 10.1038/s41380-022-01936-6. Epub 2023 Jan 13. Mol Psychiatry. 2023. PMID: 36639510 Free PMC article.
-
Modeling Tumor Clonal Evolution for Drug Combinations Design.Trends Cancer. 2016 Mar;2(3):144-158. doi: 10.1016/j.trecan.2016.02.001. Trends Cancer. 2016. PMID: 28435907 Free PMC article. Review.
Publication types
MeSH terms
Substances
LinkOut - more resources
Full Text Sources