Modeling the spatial and temporal distribution of therapeutic agents in tumor tissues a continuum approach

February 3, 2009

Time: February 3, 2009
Lecturer: Karin Erbertseder
Lehrstuhl für Hydromechanik und Hydrosystemmodellierung, Institut für Wasserbau, Uni Stuttgart
Venue: Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
Download as iCal:
The aim is to develop a mathematical model that describes the intra-tumoral distribution of a targeted protein therapeutic agent under the consideration of its biodistribution within the organism, the topographical constraints as well as the architecture of the tumor.

The temporal and spatial evolution of the targeting agent within the tumor will be modelled by a continuum approach. 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 diffusive and convective fluxes through the vascular compartment, across the microvascular wall and through the interstitial compartment. The adsorption and the reaction of the therapeutic agent within the tumor tissue and also the influences of the lymph have to be considered and implemented into the equations. Further, the deformations of the surrounding healthy tissue by the growing tumor will be described by a linear elastic approach. The system of partial differential equations is numerical integrated with a Multiple Interacting Continua (MINC) approach. The flow of the therapeutic agent in the blood vessels, in the healthy tissue and the tumor tissue is each described by one single continuum.

To the top of the page