A mathematical model for the effects of different radiotherapy strategies for breast cancer

H Enderling, ARA Anderson, MAJ Chaplain, AJ Munro, JS Vaidya

Poster Presentation at the 1st Annual Meeting of the National Cancer Research Insitut 2005 in Birmingham, UK

Abstract:
Single fraction Targeted Intraoperative radiotherapy (Targit) is a new concept of partial breast irradiation that is being tested in randomised trials. Targit allows accurate dosimetry, avoids delay and has logistic advantages. We present a mathematical model for growth of a solid tumour in breast, its surgical excision and adjuvant radiotherapy. We use the linear quadratic model to compute the survival probabilities for both tumour cells and breast tissue and simulate the effects of external beam radiotherapy and Targit. Local recurrence could arise from stray tumour cells or from morphologically normal cells in the tumour bed that harbour predisposing genetic changes, such as loss of heterozygosity on tumour suppressor genes (LOH). Our mathematical model predicts that Targit would eliminate all these sources of recurrence, whereas the fractionated external beam radiotherapy would eliminate stray tumour cells, but allows the cells with LOH to accumulate radiation induced DNA damage. Our work is an initial attempt to model a biologically complex phenomenon that has until now received little attention in the literature. We hope to extend our model to 3-dimensions and to the cellular level in tandem with molecular experiments to study normal tissue effects of radiotherapy that are ongoing at our centre.

Paper covering this presentation published in J. Theor. Biol.

awarded a Cancer Research UK pilot project research grant

        

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