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unilogo Universität Stuttgart
Institute of Hydraulic Engineering

Research: Dept. of Hydromechanics and Modeling of Hydrosystems

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A System Biology Approach towards Predictive Cancer Therapy (FORSYS partner)
Project manager:Prof. Dr.-Ing. Rainer Helmig
Deputy:Dr.-Ing. Holger Class
Duration:1.11.2008 - 31.10.2011
Funding:BMBF and industry

This project is part of the research area:
Model coupling and complex structures


Modeling of the spatial-temporal distribution of therapeutics in the tumor (continuum approach)
Within this project a mathematical model that describes the intra-tumoral distribution of a targeted protein therapeutic under consideration of the input signal and the topographical constraints as well as cellular architecture of the tumor (tumor vessels, cellular and acellular components of the stroma, malignant tumor cells) will be developed. In modelling the time and spatial evolution of the targeting agents within the tumor a continuum approach will be applied. For the implementation of this model the tumor is assumed to be a porous medium composed of cell surface subcompartments, interstitial pore fluids and the vascular compartment. The mass balance equations for the injected agent involve the diffusive and convective fluxes through the vascular compartment, transport across the microvascular wall, and transport through the interstitial compartment. During the transport the therapeutic agent may bind specifically to the targets. The quantitative information about the morphological parameter of the tumor is extracted from the experimental observations described below. For numerical integration of the system of partial differential equations (PDE) the box method is used which is a local mass conservation finite volume approach that allows the use of finite element meshes.