Ein kontinuierlicher Ansatz zur Modellierung von Tumorwachstum und Strahlentherapie

Translated title of the contribution: A continuous model of tumour progression and radiotherapy

A. Heye*, Stefan Becker, Andreas Mang, Alina Toma, Thorsten Buzug, T. A. Schütz

*Corresponding author for this work


The present work introduces a continuous model for the response of primary brain tumour growth to radiation therapy. The progression of the tumour is based on a partial differential equation which describes the proliferation of tumour cells as well as the anisotropic diffusion into surrounding tissue. This reaction-diffusion equation is extended by an additional term modelling the effect of radiation therapy. For the determination of the radiation effect, the linear-quadratic radiobiological model is used. To account for the influence of different biological mechanisms on the treatment response, a variation of radiation sensitivity inside the tumour tissue is incorporated. Additionally, the dynamics of necrotic cells and the effect of radiation therapy on healthy tissue are considered. The resulting model allows for simulating different treatment schedules. The qualitative analysis of first results displays a plausible description of radiation effects on tumour growth and healthy tissue. A quantitative evaluation is challenging as patient individual parameters have to be estimated and, thus, remains as ongoing research.

Translated title of the contributionA continuous model of tumour progression and radiotherapy
Original languageGerman
JournalBiomedizinische Technik
Issue numberSUPPL. 1
Publication statusPublished - 01.09.2011


Dive into the research topics of 'A continuous model of tumour progression and radiotherapy'. Together they form a unique fingerprint.

Cite this