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

doi:10.1201/b10407

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 proceeding › Chapter

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 language	English (US)
Title of host publication	Multiscale Cancer Modeling
Publisher	CRC Press
Chapter	13
Pages	253-303
Number of pages	51
ISBN (Electronic)	9781439814420
ISBN (Print)	9781439814406
DOIs	https://doi.org/10.1201/b10407
State	Published - Jan 1 2010

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
General Medicine

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author = "Chaplain, \{Mark A.J.\} and Paul Macklin and Stephen McDougall and Anderson, \{Alexander R.A.\} and Vittorio Cristini and John Lowengrub",

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AU - Macklin, Paul

AU - McDougall, Stephen

AU - Anderson, Alexander R.A.

AU - Cristini, Vittorio

AU - Lowengrub, John

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N2 - 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.

AB - 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.

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

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