Applied mathematicians are becoming increasingly involved in the modeling and simulation of tumor growth, reducing the amount of experimentation necessary for drug and therapy development, and shedding light on aspects of cancer dynamics that are difficult to assess experimentally. Written by first-rate researchers in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena.
A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge is creating multiscale models that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined in this work.
Topics covered
* Modeling of complex biological systems using mathematical kinetic theory
* Stochastic evolutionary models of cancer initiation and progression
* Multicellular systems, chemotaxis, and derivation of macroscopic models
* Modeling of avascular and vascular tumors
* Tumor cords and their response to anticancer agents
* Macroscopic brain modeling and other applications
* Mathematical modeling of breast cancer growth, recurrence, and treatment
* Immune competition in tumor progression and prevention
Selected Topics in Cancer Modeling is an excellent reference for applied mathematicians, physicists, biologists, and economists interested in the modeling of complex social systems and living matter.
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