Novel approach for determining optimal treatment regimen for cancer c𝕙emotherapy

1 January 1988

journal article
research article
Published by Taylor & Francis in International Journal of Systems Science

Vol. 19 (8) , 1483-1497
https://doi.org/10.1080/00207728808964051

Abstract

A procedure is proposed which allows the determination of the optimal treatment regimen for cancer chemotherapy given a certain patient and drug. The π-criterion is applied to a mathematical model describing malignant and benign cell growth and destruction. As a result, the clinician can see whether the drug under consideration will have the desired effect as well as which form of treatment would be preferable: cyclic (on/off) or continuous. In the event, cyclic treatment is superior, the optimal length of the treatment cycle as well as the on/off time for medication and the optimal dosage during this time are determined.

This publication has 7 references indexed in Scilit:

Mathematical Models in Cell Biology and Cancer Chemotherapy
Published by Springer Nature ,1979
Optimal periodic control of variable time-delay systems
International Journal of Control, 1978
Optimal control analysis in the chemotherapy of IgG multiple myeloma
Bulletin of Mathematical Biology, 1977
Competition between species: Theoretical models and experimental tests
Theoretical Population Biology, 1973
Periodic control: A frequency domain approach
IEEE Transactions on Automatic Control, 1973
Dose-response curves for agents that impair cell reproductive integrity. The relation between dose-response curves and the design of selective regimens in cancer chemotherapy.
British Journal of Cancer, 1969
XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c
Philosophical Transactions of the Royal Society of London, 1825