Journal
EUROPEAN JOURNAL OF PHARMACOLOGY
Volume 625, Issue 1-3, Pages 108-121Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejphar.2009.08.041
Keywords
Mathematical modeling; Chemotherapy optimization; Cell cycle models; Pharmacokinetics; Pharmacodynamics
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Funding
- Polish Ministry for Science and Higher Education [N N514 415334, BK-218/RAu1/2009, N N514 411936]
- NIH [R01GM086885]
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We review a large volume of literature concerning mathematical models of cancer therapy, oriented towards optimization of treatment protocols. The review, although partly idiosyncratic, covers such major areas of therapy optimization as phase-specific chemotherapy. antiangiogenic therapy and therapy under drug resistance. We start from early cell cycle progression models, very simple but admitting explicit mathematical solutions, based on methods of control theory. We continue with more complex models involving evolution of drug resistance and pharmacokinetic and pharmacodynamic effects. Then, we consider two more recent areas: angiogenesis of tumors and molecular signaling within and among cells. We discuss biological background and mathematical techniques of this field, which has a large although only partly realized potential for contributing to cancer treatment. (C) 2009 Elsevier B.V. All rights reserved.
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