The Mathematical Institute, University of Oxford, Eprints Archive

Mathematical modelling of vascular tumour growth and implications for therapy

Panovska, J. and Byrne, H. M. and Maini, P. K. (2007) Mathematical modelling of vascular tumour growth and implications for therapy. In: Mathematical Modeling of Biological Systems. Modeling and Simulation in Science, Engineering and Technology, I (n/a). Birkhauser, Boston, pp. 205-216. ISBN n/a

[img]
Preview
PDF
4Mb

Abstract

In this chapter we briefly discuss the results of a mathematical model formulated in [22] that incorporates many processes associated with tumour growth. The deterministic model, a system of coupled non-linear partial differential equations, is a combination of two previous models that describe the tumour-host interactions in the initial stages of growth [11] and the tumour angiogenic process [6]. Combining these models enables us to investigate combination therapies that target different aspects of tumour growth. Numerical simulations show that the model captures both the avascular and vascular growth phases. Furthermore, we recover a number of characteristic features of vascular tumour growth such as the rate of growth of the tumour and invasion speed. We also show how our model can be used to investigate the effect of different anti-cancer therapies.

Item Type:Book Section
Uncontrolled Keywords:Vascular tumours, angiogenesis, hypoxia anti-cancer therapy.
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:652
Deposited By:Philip Maini
Deposited On:13 Sep 2007
Last Modified:08 Oct 2012 14:10

Repository Staff Only: item control page