3D numerical simulation of avascular tumour growth: effect of hypoxic micro-environment in host tissue

Cai, Y., Wu, J., Long, Q., Xu, S. X., & Li, Z. Y. (2013) 3D numerical simulation of avascular tumour growth: effect of hypoxic micro-environment in host tissue. Applied Mathematics and Mechanics, 34(9), pp. 1055-1068.

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Abstract

A three-dimensional (3D) mathematical model of tumour growth at the avascular phase and vessel remodelling in host tissues is proposed with emphasis on the study of the interactions of tumour growth and hypoxic micro-environment in host tissues. The hybrid based model includes the continuum part, such as the distributions of oxygen and vascular endothelial growth factors (VEGFs), and the discrete part of tumour cells (TCs) and blood vessel networks. The simulation shows the dynamic process of avascular tumour growth from a few initial cells to an equilibrium state with varied vessel networks. After a phase of rapidly increasing numbers of the TCs, more and more host vessels collapse due to the stress caused by the growing tumour. In addition, the consumption of oxygen expands with the enlarged tumour region. The study also discusses the effects of certain factors on tumour growth, including the density and configuration of preexisting vessel networks and the blood oxygen content. The model enables us to examine the relationship between early tumour growth and hypoxic micro-environment in host tissues, which can be useful for further applications, such as tumour metastasis and the initialization of tumour angiogenesis.

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ID Code: 90300
Item Type: Journal Article
Refereed: Yes
Keywords: avascular tumour growth, hypoxic micro-environment in host tissue, three-dimensional (3D) mathematical model, microvascular networks, structural adaptation, mathematical-model, angiogenesis, spheroids, invasion
DOI: 10.1007/s10483-013-1727-x
ISSN: 1573-2754
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > Institutes > Institute of Health and Biomedical Innovation
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Shanghai University and Springer-Verlag
Berlin Heidelberg
Deposited On: 16 Nov 2015 01:24
Last Modified: 08 Dec 2015 05:36

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