作者
Paul Macklin, Steven McDougall, Alexander RA Anderson, Mark AJ Chaplain, Vittorio Cristini, John Lowengrub
发表日期
2009/4
期刊
Journal of mathematical biology
卷号
58
页码范围
765-798
出版商
Springer-Verlag
简介
In this article, we present a new multiscale mathematical model for solid tumour growth which couples an improved model of tumour invasion with a model of tumour-induced angiogenesis. We perform nonlinear simulations of the ulti-scale model that demonstrate the importance of the coupling between the development and remodeling of the vascular network, the blood flow through the network and the tumour progression. Consistent with clinical observations, the hydrostatic stress generated by tumour cell proliferation shuts down large portions of the vascular network dramatically affecting the flow, the subsequent network remodeling, the delivery of nutrients to the tumour and the subsequent tumour progression. In addition, extracellular matrix degradation by tumour cells is seen to have a dramatic affect on both the development of the vascular network and the growth response of the tumour. In particular …
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