A stochastic model for the origin and treatment of tumors containing drug-resistant cells
type: Item
instance of: scholarly article
title: A stochastic model for the origin and treatment of tumors containing drug-resistant cells
zbMATH Open document ID: 0613.92006
DOI: 10.1007/BF02459682
published in: Bulletin of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: A stochastic model for the chemotherapy of experimental tumors is presented. The focus of this model is on the presence of drug-resistant mutants and their influence on eventual treatment outcome. Equations are derived for the joint probability-generating function for the number of chemo-sensitive and chemo-resistant cells. The model is extended to two drugs and it is shown how the model may be used to make deductions regarding the optimum scheduling of therapy.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 60K99
zbMATH DE Number: 3993349
zbMATH Keywords: Kolmogorov forward equations
zbMATH Keywords: stochastic model
zbMATH Keywords: chemotherapy of experimental tumors
zbMATH Keywords: drug-resistant mutants
zbMATH Keywords: joint probability-generating function
zbMATH Keywords: chemo-sensitive and chemo-resistant cells
zbMATH Keywords: optimum scheduling of therapy
Wikidata QID: Q52650549
author: Andrew J. Coldman
author: James H. Goldie
MaRDI profile type: Publication
cites work: A mathematical model of the effects of drug resistance in cancer chemotherapy
cites work: A model for the resistance of tumor cells to cancer chemotherapeutic agents
cites work: The effect of cellular differentiation on the development of permanent drug resistance
cites work: Q5624492
cites work: A STOCHASTIC MODEL OF STEM CELL PROLIFERATION, BASED ON THE GROWTH OF SPLEEN COLONY-FORMING CELLS
description: scientific article; zbMATH DE number 3993349