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BP: Fachverband Biologische Physik
BP 36: Posters: Tissue Dynamics, Charge Effects, and Anomalous Transport
BP 36.6: Poster
Donnerstag, 25. März 2010, 17:15–20:00, Poster B2
Solid tumor growth and fluid transport taking into account a hierarchical network of the host: a three-dimensional theoretical model — •Michael Welter and Heiko Rieger — Universität des Saarlandes, 66041 Saarbrücken, Germany
Solid tumors like melanoma acquire sufficient nutrients by coopting the host vasculature and inducing angiogenesis in the surrounding tissue. Furthermore their growth is accompanied with a drastic reduction of vessels density and vessel dilation in the center of the tumor. Thus the original well organized hierarchical network becomes chaotic and a heterogeneously distributed tumor vasculature is formed. We develop a hybrid stochastic/continuum model for three-dimensional tumor growth which includes an explicit representation of the hosts vasculature and its remodeling via sprouting, vessel removal and dilation. The evolution of the tumor mass is captured by a diffusion-reaction model. The heterogeneity and leakiness of tumor vessels is highly relevant for the exavasation and interstitial transport of drugs since large non-vascularized regions exist and high interstitial fluid pressures may impede flow through the vessel walls. Therefore we analyze the flow of a tracer through the interstitial space coupled to our tumor networks by means of a convection-diffusion-reaction model.