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Mathematical Medicine and Biology Advance Access originally published online on March 21, 2005
Mathematical Medicine and Biology 2005 22(2):143-162; doi:10.1093/imammb/dqi004
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Articles

Influence of tumours on normal cells and optimal chemotherapy regimens: the case of several drugs and toxicity constraints

Alexey S. Matveev** and Andrey V. Savkin***

School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney 2052, Australia

** Corresponding author. Email: alexeymatveev{at}hotmail.com

*** Email: a.savkin{at}unsw.edu.au

Cancer chemotherapy with the application of several drugs is studied. The negative and inhibiting effect of the tumour on normal cells is taken into account. Under certain hypotheses, we determine the optimal regimen that minimizes the tumour burden at the end of a fixed period of therapy while maintaining several normal cell populations above prescribed levels. More precisely, it is demonstrated that the optimal drug administration corresponds to the strategy of intensive chemotherapy.

Keywords: optimal chemotherapy regimen; influence of tumours on normal cells

Received on 11 September 2003. revised on 12 October 2004.


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