Literature DB >> 3678329

A mathematical model of the development of drug resistance to cancer chemotherapy.

B G Birkhead1, E M Rankin, S Gallivan, L Dones, R D Rubens.   

Abstract

A mathematical model incorporating descriptions of tumour growth kinetics and the effects of cytotoxic chemotherapy on established tumours, is presented. It is shown how models of this kind may be used to investigate the potential of hypothetical chemotherapy strategies, and to identify general principles for successful treatment. The model is intended to be an aid to clinicians designing new chemotherapy programmes for diseases in which progress has been disappointing.

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Year:  1987        PMID: 3678329     DOI: 10.1016/0277-5379(87)90133-7

Source DB:  PubMed          Journal:  Eur J Cancer Clin Oncol        ISSN: 0277-5379


  11 in total

1.  A delay differential equation model for tumor growth.

Authors:  Minaya Villasana; Ami Radunskaya
Journal:  J Math Biol       Date:  2003-05-15       Impact factor: 2.259

2.  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

3.  An elementary approach to modeling drug resistance in cancer.

Authors:  Cristian Tomasetti; Doron Levy
Journal:  Math Biosci Eng       Date:  2010-10       Impact factor: 2.080

Review 4.  Evolution of acquired resistance to anti-cancer therapy.

Authors:  Jasmine Foo; Franziska Michor
Journal:  J Theor Biol       Date:  2014-03-25       Impact factor: 2.691

5.  The impact of cell density and mutations in a model of multidrug resistance in solid tumors.

Authors:  James Greene; Orit Lavi; Michael M Gottesman; Doron Levy
Journal:  Bull Math Biol       Date:  2014-02-20       Impact factor: 1.758

6.  Drug resistance as a dynamic process in a model for multistep gene amplification under various levels of selection stringency.

Authors:  L E Harnevo; Z Agur
Journal:  Cancer Chemother Pharmacol       Date:  1992       Impact factor: 3.333

7.  Mathematical modeling of tumor therapy with oncolytic viruses: effects of parametric heterogeneity on cell dynamics.

Authors:  Georgy P Karev; Artem S Novozhilov; Eugene V Koonin
Journal:  Biol Direct       Date:  2006-10-03       Impact factor: 4.540

8.  Using mathematical models to estimate drug resistance and treatment efficacy via CT scan measurements of tumour volume.

Authors:  W M Gregory; R H Reznek; M Hallett; M L Slevin
Journal:  Br J Cancer       Date:  1990-10       Impact factor: 7.640

Review 9.  Episensitization: Defying Time's Arrow.

Authors:  Bryan T Oronsky; Arnold L Oronsky; Michelle Lybeck; Neil C Oronsky; Jan J Scicinski; Corey Carter; Regina M Day; Jose F Rodriguez Orengo; Maribel Rodriguez-Torres; Gary F Fanger; Tony R Reid
Journal:  Front Oncol       Date:  2015-06-11       Impact factor: 6.244

10.  Multiscale modeling reveals angiogenesis-induced drug resistance in brain tumors and predicts a synergistic drug combination targeting EGFR and VEGFR pathways.

Authors:  Weishan Liang; Yongjiang Zheng; Ji Zhang; Xiaoqiang Sun
Journal:  BMC Bioinformatics       Date:  2019-05-01       Impact factor: 3.169

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