Survival Curve for Cancer Patients Following Treatment

Using Weibull Mixture Distributions to Model Heterogeneous Survival Data

“…However, where observations are taken from a possibly heterogeneous population, for example when patients have been treated using different methods, the simple Weibull model may not always be appropriate and mixture models may be considered. For example, in a Bayesian context, Chen et al (1985) used a two component mixture model for the analysis of cancer survival data generalizing an earlier idea of Berkson and Gage (1952). Quiang (1994) considered a similar model of a mixture of a Weibull component and a surviving fraction in the context of a lung cancer trial.…”

A continuous-time model of departure time choice for urban shopping trips

“…The final section summarizes important findings. 1 The concept of a hazard rate originated in the Industrial Engineering and Biometrics fields and has been used in those fields for several decades now (see, for example, Berkson andGage, 1952, andGoodman, 1953). Its use in the economics and transportation fields has been relatively recent, though much of the new…”

Cure trends in acute lymphoblastic leukemia: is it time for a revised concept of cure?

“…This is well recognized in prior studies, for instance, from the Childhood Cancer Survivor Study, showing that 66% of deaths in 5-year survivors of ALL were due to relapsed disease or second primary leukemias. 2 Analysis of cancer outcome data using cure models has a long history 3 and has been used in the past in pediatric cancer. 4 The concept of cure as applied in these models is not always well defined, however.…”

“…The mixture model of the type used by Gatta et al divides patients into 2 groups, those who are 'cured' and have mortality identical to the normal population, and those who are 'not cured' who have a fixed level of excess mortality. 3 This implies that one can classify individual patients as belonging to one of these 2 groups. In reality, patients who have survived cancer in the short term comprise a spectrum of patients ranging from those with mortality negligibly in excess of normal to those with mortality much in excess of normal.…”