Aka. Cronqvist et al., VOLUME AND HETEROGENEITY DEPENDENCE OF THE DOSE-RESPONSE RELATIONSHIPFOR HEAD AND NECK TUMORS, Acta oncologica, 34(6), 1995, pp. 851-860
Based on the Poisson statistics of cell kill a model for the response
of heterogeneous tumours to non-uniform dose delivery have been develo
ped. The five parameters required to characterize the response are the
50% response dose, D-50, the normalized dose-response gradient, gamma
, the tumour heterogeneity factor, h, the relative volume, upsilon and
the extra daily dose required to counteract the tumour cell prolifera
tion, delta. The model has been fitted to data from a number of clinic
al investigations to allow the derivation of clinically relevant radia
tion response parameters for head and neck tumours. The D-50 value for
T2 larynx cancers is 59.9 Gy in 41 days with a relative standard devi
ation of 2.1 Gy and the gamma value is 2.9 with a relative standard de
viation of 0.3. The value of delta, which is most consistent with the
clinical data for laryngeal tumours, is 0.35 Gy/day and this value sho
uld be used if the treatment time is changed from the 41 days normaliz
ation. The heterogeneity factor, h, is close to zero for laryngeal tum
ours which indicates that their response is basically governed by Pois
son statistics. Nasopharyngeal tumours, on the other hand, exhibit h v
alues around 0.2 which indicates that these tumours are more heterogen
eous in their internal organization and so are their responses to radi
ation.