title: Mathematical derivation of optimal treatment schedules for the radiotherapy of human tumours. Fractionated irradiation of exponentially growing tumours.
abstract: 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.
mesh_terms: D002470:Cell Survival / Q000528:radiation effects; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical; D009369:Neoplasms / Q000532:radiotherapy*; D011879:Radiotherapy Dosage; D013997:Time Factors