Jd. Trelford et al., Modeling post-treatment development of cervical carcinoma: Exophytic or endophytic - Does it matter?, MATH COMP M, 33(12-13), 2001, pp. 1439-1443
In this study, we use a combination of smoothing nonparametric and parametr
ic methods to estimate tile hazard function for the disease-free interval f
rom clinical data on patients with carcinoma of tile cervix uteri. Three es
timation procedures were used for estimating the hazard rate from tire data
: the life table estimator, a kernel counterpart of the Nelson-Aalen estima
tor, and a parametric estimator based on a mechanistic model of tumor recur
rence. The parametric estimate appears to be in good agreement with its non
parametric counterparts suggesting a bimodal shape of the underlying hazard
function, The observed two-component structure of the hazard function carl
be attributed to a certain heterogeneity of "malignant potential" remainin
g in treated tumors. Exophytic and endophytic carcinomas of the cervix uter
i show dissimilar patterns of this heterogeneity and its evolution with the
time elapsed after treatment. The results of parametric inference suggest
that exophytic and endophytic recurrent tumors differ as to quantitative ch
aracteristics of a slowly evolving subpopulation of clonogenic tumor cells.
(C) 2001 Elsevier Science Ltd. All rights reserved.