A mathematical model of the effects of drug resistance in cancer chemotherapy
type: Item
instance of: scholarly article
title: A mathematical model of the effects of drug resistance in cancer chemotherapy
zbMATH Open document ID: 0556.92005
DOI: 10.1016/0025-5564(84)90061-0
author: B. G. Birkhead
author: W. M. Gregory
published in: Mathematical Biosciences
publication date: 1984-01-01T00:00:00Z
review text: A mathematical model is proposed relating tumor response under repeated doses of a single cytotoxic agent to the presence and accumulation of phenotypic drug resistance. The latter is assumed to comprise two elements: that present at diagnosis and that acquired in response to and during treatment. New analytic expressions are presented for quantities such as the fractional tumor reduction effected by each dose, the minimum tumor size achieved under therapy, the changing composition of the tumor, and the number of doses before apparent clinical resistance (the nadir) is observed. A similar model accommodates the sequential delivery of different drugs between which there is some degree of cross-resistance, and it is shown how competing treatment strategies can be simulated and compared.
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 3887493
zbMATH Keywords: cancer chemotherapy
zbMATH Keywords: tumor response
zbMATH Keywords: cytotoxic agent
zbMATH Keywords: phenotypic drug resistance
zbMATH Keywords: fractional tumor reduction
zbMATH Keywords: minimum tumor size
zbMATH Keywords: competing treatment strategies
MaRDI profile type: Publication
full work available at URL: 0025-5564(84)90061-0
OpenAlex ID: W1978450356
cites work: Tumor growth and chemotherapy: Mathematical methods, computer simulations, and experimental foundations
cites work: Mathematical analysis of cancer chemotherapy
description: scientific article; zbMATH DE number 3887493