Low-intensity combination chemotherapy maximizes host survival time for tumors containing drug-resistant cells
type: Item
instance of: scholarly article
title: Low-intensity combination chemotherapy maximizes host survival time for tumors containing drug-resistant cells
zbMATH Open document ID: 0764.92012
DOI: 10.1016/0025-5564(92)90039-Y
author: Michael E. Fisher
author: R. F. Minchin
author: R. Bruce Martin
author: Kok Lay Teo
published in: Mathematical Biosciences
publication date: 1993-01-16T00:00:00Z
review text: The authors pose the following question. Given a tumor of size \(N(t)\) and two therapeutical agents \(A\) and \(B\), such that parts of the tumor can develop a resistance against \(A\) or \(B\) or both. What is the best application scheme to maximize the survival time defined by \(\sup\{t;N(t)<N_{\max}\}\)? After describing the system by a system of ordinary differential equations with interaction terms the authors reduce the question in several steps to a sequence of discrete problems that can be tackled by nonlinear optimization techniques developed by one of the authors. It turns out that high doses are not optimal and that it is better to keep the size of the tumor constant on a high level.
reviewed by: R.Repges
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 49N75
zbMATH DE Number: 89286
zbMATH Keywords: clinical trials
zbMATH Keywords: drug-resistant cells
zbMATH Keywords: drug concentration
zbMATH Keywords: dose intensity
zbMATH Keywords: drug toxicity
zbMATH Keywords: host survival time
zbMATH Keywords: fixed terminal time problems
zbMATH Keywords: Gompertz tumor growth
zbMATH Keywords: simulations
zbMATH Keywords: exponential and logistic tumor growth models
zbMATH Keywords: combinations of drugs
zbMATH Keywords: cancer chemotherapy
zbMATH Keywords: nonlinear optimization
Wikidata QID: Q52418650
describes a project that uses: MISER3
describes a project that uses: NLPQL
MaRDI profile type: Publication
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full work available at URL: 0025-5564(92)90039-y
OpenAlex ID: W2037548799
description: scientific article; zbMATH DE number 89286