The Mathematical Institute, University of Oxford, Eprints Archive

Mathematical biomedicine and modeling avascular tumor growth

Byrne, H. M. (2012) Mathematical biomedicine and modeling avascular tumor growth. In: Mathematics and Life Sciences. De Gruyter. (Submitted)

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Abstract

In this chapter we review existing continuum models of avascular tumor growth, explaining howthey are inter related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invasion in which the tumor is assumed to comprise a single population of cells. We also present more detailed, multiphase models that allow for tumor heterogeneity. The chapter concludes with a summary of the different continuum approaches and a discussion of the theoretical challenges that lie ahead.

Item Type:Book Section
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1647
Deposited By: Peter Hudston
Deposited On:05 Jan 2013 10:21
Last Modified:29 May 2015 19:20

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