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Mathematical Methods and Models in Biomedicine

Part of the series Lecture Notes on Mathematical Modelling in the Life Sciences pp 311-337

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Tumor Development Under Combination Treatments with Anti-angiogenic Therapies

  • Urszula LedzewiczAffiliated withDepartment of Mathematics and Statistics, Southern Illinois University Edwardsville Email author 
  • , Alberto d’OnofrioAffiliated withDepartment of Experimental Oncology, European Institute of Oncology
  • , Heinz SchättlerAffiliated withDepartment of Electrical and Systems Engineering, Washington University

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Abstract

Tumors are a family of high-mortality diseases, each differing from the other, but all exhibiting a derangement of cellular proliferation and characterized by a remarkable lack of symptoms [52] and by time courses that, in a broad sense, may be classified as nonlinear. As a consequence, despite the enormous strides in prevention and, to a certain extent, cure, cancer is one of the leading causes of death worldwide, and, unfortunately, is likely to remain so for many years to come [4, 53].