Literature DB >> 2134485

Role of optimal control theory in cancer chemotherapy.

G W Swan.   

Abstract

This paper presents a review of the ways in which optimal control theory interacts with cancer chemotherapy. There are three broad areas of investigation. One involves miscellaneous growth kinetic models, the second involves cell cycle models, and the third is a classification of "other models." Both normal and tumor cell populations are included in a number of the models. The concepts of deterministic optimal control theory are applied to each model in such a way as to present a cohesive picture. There are applications to both experimental and clinical tumors. Suggestions for designing better chemotherapy strategies are presented.

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Year:  1990        PMID: 2134485     DOI: 10.1016/0025-5564(90)90021-p

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  30 in total

1.  The application of mathematical modelling to aspects of adjuvant chemotherapy scheduling.

Authors:  E A Gaffney
Journal:  J Math Biol       Date:  2003-10-27       Impact factor: 2.259

2.  Suppression of Chaos in a One-dimensional Mapping.

Authors:  S Codreanu; M Danca
Journal:  J Biol Phys       Date:  1997-03       Impact factor: 1.365

3.  Exploiting Temporal Collateral Sensitivity in Tumor Clonal Evolution.

Authors:  Boyang Zhao; Joseph C Sedlak; Raja Srinivas; Pau Creixell; Justin R Pritchard; Bruce Tidor; Douglas A Lauffenburger; Michael T Hemann
Journal:  Cell       Date:  2016-02-25       Impact factor: 41.582

Review 4.  The dynamics of drug resistance: a mathematical perspective.

Authors:  Orit Lavi; Michael M Gottesman; Doron Levy
Journal:  Drug Resist Updat       Date:  2012-03-03       Impact factor: 18.500

5.  Intratumor heterogeneity alters most effective drugs in designed combinations.

Authors:  Boyang Zhao; Michael T Hemann; Douglas A Lauffenburger
Journal:  Proc Natl Acad Sci U S A       Date:  2014-07-07       Impact factor: 11.205

6.  The value of monitoring to control evolving populations.

Authors:  Andrej Fischer; Ignacio Vázquez-García; Ville Mustonen
Journal:  Proc Natl Acad Sci U S A       Date:  2015-01-13       Impact factor: 11.205

7.  Bone metastasis treatment modeling via optimal control.

Authors:  Ariel Camacho; Silvia Jerez
Journal:  J Math Biol       Date:  2018-08-21       Impact factor: 2.259

8.  Revisiting Dosing Regimen Using Pharmacokinetic/Pharmacodynamic Mathematical Modeling: Densification and Intensification of Combination Cancer Therapy.

Authors:  Christophe Meille; Dominique Barbolosi; Joseph Ciccolini; Gilles Freyer; Athanassios Iliadis
Journal:  Clin Pharmacokinet       Date:  2016-08       Impact factor: 6.447

Review 9.  Modeling Tumor Clonal Evolution for Drug Combinations Design.

Authors:  Boyang Zhao; Michael T Hemann; Douglas A Lauffenburger
Journal:  Trends Cancer       Date:  2016-03

10.  Evolution of resistance to targeted anti-cancer therapies during continuous and pulsed administration strategies.

Authors:  Jasmine Foo; Franziska Michor
Journal:  PLoS Comput Biol       Date:  2009-11-06       Impact factor: 4.475

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