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British Journal of Radiology (2005) 78, 939-944
© 2005 British Institute of Radiology
doi: 10.1259/bjr/40226390

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The potential for mathematical modelling in the assessment of the radiation dose equivalent of cytotoxic chemotherapy given concomitantly with radiotherapy

B Jones, MSc, MD, FRCR1 and R G Dale, MSc, PhD, FIPEM2

1 Department of Clinical Oncology, Queen Elizabeth University Hospital, Birmingham B15 2TH and 2 Department of Radiation Physics and Radiobiology, Charing Cross Hospital, London W6 8RF, UK



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Figure 1. Plot of sensitizer enhancement ratios (s) against number of sensitized fractions out of a total of 30; the {alpha}/{beta} ratio is assumed to be 15 Gy. The results are for an assumed improvement in tumour control probability from 45 to 67%.

 


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Figure 2. Plot of individual tumour control probability against total radiation dose for variable chemotherapy biological effective shown as ChemoRx BED.

 


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Figure 3. Relationship in a population of 500 tumours between tumour control probability and total radiation dose with assumed additional chemotherapy biological effective dose equivalents, shown as ChemoRx BED.

 


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Figure 4. Example of relationship between tumour cure probability and the additional biological effective dose (BED) associated with chemotherapy: the parameters are those in example 3 in Table 2Go.

 


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Figure 5. Results of random sampling techniques in a virtual clinical trial for cervix cancer, with 200 patients per point. Schedules and legend codes are given in Table 2Go, parameters in Table 1Go. The addition of concomitant Cis-platinum is designated by "+P".

 





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