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Introduction to Mathematical Oncology by Steffen E. Eikenberry, John D. Nagy, Yang Kuang

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Chapter 8

Evolutionary Ecology of Cancer

8.1 Introduction

In Chapters 2 and 3 we explored the foundations of two major themes in mathematical oncology—one stemming from the pioneering work of Laird and her application of the Gompertz formalism to tumor growth, and the other originating with Greenspan’s extension of the PDE approach taken simultaneously by Burton, Thomlinson, and Gray. In this chapter we continue our exploration of these themes in a more modern setting. However, since both themes unleashed floods of research with rivulets in many different directions, we limit ourselves to theoretical attacks on how two important characteristics of cancer arise—necrosis and tumor cell diversity.

Modern cancer research has tended to focus on genomics. ...

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