Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation
type: Item
instance of: scholarly article
title: Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation
zbMATH Open document ID: 0613.92007
DOI: 10.1007/BF02459688
published in: Bulletin of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: This paper examines the optimal dose problem for a continuously delivered chemotherapeutic agent against a tumor. After examining several functional forms for tumor growth dynamics, the author uses a logistic (Verhulst-Pearl) equation for the untreated growth and two different models, linear or saturation, for the loss term. Using quadratic objective functions, the author examines the form of the optimal control in both cases.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3993350
zbMATH Keywords: cancer chemotherapy
zbMATH Keywords: Verhulst-Pearl equation
zbMATH Keywords: logistic equation
zbMATH Keywords: linear model
zbMATH Keywords: saturation model
zbMATH Keywords: optimal dose problem
zbMATH Keywords: tumor growth dynamics
zbMATH Keywords: quadratic objective functions
zbMATH Keywords: optimal control
Wikidata QID: Q43697720
author: George W. Swan
MaRDI profile type: Publication
cites work: Q5593460
cites work: Optimal control of multiplicative control systems arising from cancer therapy
cites work: Some strategies for harvesting a single species
cites work: Optimal control in some cancer chemotherapy problems
cites work: Optimal control applications in biomedical engineering-a survey
cites work: An optimal control model of diabetes mellitus
cites work: Q3217972
cites work: Q3751414
cites work: Optimal control analysis in the chemotherapy of IgG multiple myeloma
cites work: GROWTH CURVES AND THEIR FUNCTIONAL FORM
cites work: Mathematical approaches to optimization of cancer chemotherapy
full work available at URL: https://doi.org/10.1007/bf02459688
OpenAlex ID: W2012333454
description: scientific article; zbMATH DE number 3993350