MATHEMATICAL MODELING AND OPTIMIZATION OF TARGETED TUMOR THERAPY

Recent advances in the field of cancer biology have made it possible to identify a set
of molecular changes involved in the development of malignant tumors, which made
it possible to suggest ways of targeting them. To date, a sufficient number of studies
have already been performed in an attempt to dynamically describe the behavior
of malignant cells under the action of targeted drugs by mathematical modeling.
This paper provides an overview of mathematical models in application to targeted
cancer therapy that not only can complement experimental and clinical data, but
also redefine our understanding of the mechanisms of carcinogenesis and form key
questions for future research.