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Vascularization patterns and fluid flow in growing tumours

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Mathematical Modelling and Analysis of Complex Fluids and Active Media in Evolving Domains

Growing tumours remodel the vascular network by generating new blood vessels (angiogensis), by co-opting already existing ones and by vessel regression. We want to understand the physical determinants of the emerging tumour vascularization patterns and the characteristics of the resuting blood and interstitial fluid flow. For this purpose we develop a theoretical model combining a dynamically evolving and blood flow carrying pipe network with a non-liear growth process, intercommunicating via nutrient and growth factor fields. With it we discuss mechanisms leading to tumor compartmentalization, hot spot formation, and interstitial fluid flow patterns impeding drug delivery.

This talk is part of the Isaac Newton Institute Seminar Series series.

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