Cookies on this website
We use cookies to ensure that we give you the best experience on our website. If you click 'Continue' we'll assume that you are happy to receive all cookies and you won't see this message again. Click 'Find out more' for information on how to change your cookie settings.

A multiscale model for vascular tumour growth is presented which includes systems of ordinary differential equations for the cell cycle and regulation of apoptosis in individual cells, coupled to partial differential equations for the spatio- temporal dynamics of nutrient and key signalling chemicals. Furthermore, these subcellular and tissue layers are incorporated into a cellular automaton framework for cancerous and normal tissue with an embedded vascular network. The model is the extension of previous work and includes novel features such as cell movement and contact inhibition. We present a detailed simulation study of the effects of these additions on the invasive behaviour of tumour cells and the tumour's response to chemotherapy. In particular, we find that cell movement alone increases the rate of tumour growth and expansion, but that increasing the tumour cell carrying capacity leads to the formation of less invasive dense hypoxic tumours containing fewer tumour cells. However, when an increased carrying capacity is combined with significant tumour cell movement, the tumour grows and spreads more rapidly, accompanied by large spatio- temporal fluctuations in hypoxia, and hence in the number of quiescent cells. Since, in the model, hypoxic/ quiescent cells produce VEGF which stimulates vascular adaptation, such fluctuations can dramatically affect drug delivery and the degree of success of chemotherapy.

Type

Conference paper

Publication Date

12/2006

Volume

1

Pages

515 - 535

Keywords

IN-VIVO, CHEMOTHERAPY, INDUCED ANGIOGENESIS, MATHEMATICAL-MODEL, SOLID TUMORS, DRUG-DELIVERY, GENE-THERAPY, tumour growth, cell movement, multiscale modelling, MICROVASCULAR NETWORKS, STRUCTURAL ADAPTATION, AUTOMATON MODEL, BRAIN-TUMORS