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British Journal of Radiology (1976) 49, 441-449
© 1976 British Institute of Radiology
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The British Journal of Radiology, Vol 49, Issue 581 441-449, Copyright © 1976 by British Institute of Radiology


ARTICLES

Mathematical derivation of optimal treatment schedules for the radiotherapy of human tumours. Fractionated irradiation of exponentially growing tumours

TE Wheldon and J Kirk

A mathematical model is developed to allow derivation of optimal treatment schedules for the radiotherapy of exponentially-growing tumours. Preliminary calculations based on available data suggest that optimal schedules would (in general) be more protracted than conventional schedules and might achieve a significantly better tumour cell kill without causing excessive damage to normal connective tissue. The model is too simple, and the data inadequate, for the conclusions reached to be used as a guide to clinical practice at present. However, the analysis can be extended to more realistic models which may be of clinical benefit when the appropriate data can be obtained.





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