Multiscale mathematical modeling of vascular tumor growth: An exercise in transatlantic cooperation

Mark A.J. Chaplain, Paul Macklin, Stephen McDougall, Alexander R.A. Anderson, Vittorio Cristini, John Lowengrub

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

Cancer growth, and as a particular example in this paper, solid tumor growth, is a complicated phenomenon involving many interrelated processes across a wide range of spatial and temporal scales, and as such presents the mathematical modeler with a correspondingly complex set of problems to solve. The aim of this paper is to formulate a multiscale mathematical model of solid tumor growth, incorporating three key features: the avascular growth phase, the recruitment of new blood vessels by the tumor (angiogenesis), and the vascular growth and host tissue invasion phase.

Original languageEnglish (US)
Title of host publicationMultiscale Cancer Modeling
PublisherCRC Press
Chapter13
Pages253-303
Number of pages51
ISBN (Electronic)9781439814420
ISBN (Print)9781439814406
DOIs
StatePublished - Jan 1 2010

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Medicine(all)

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