According to the American Cancer Society database (2019), an estimated 5930 new cases were diagnosed, with 1,500 deaths due to ALL in 2019. The formulation of treatment for grown-ups ALL has been adjusted from pediatric conventions. Shockingly, while cure tends to be 90% for standard-hazard pediatric ALL, the long-term survival rate is humbler in grown-ups (Terwilliger and Abdul-Hay, 2017).The main treatment of ALL is chemotherapy, which comprises of induction, intensification, and long-term maintenance, with the central nervous system (CNS)
In the survival data analysis, commonly, it is presumed that all study subjects will eventually have the event of concern. Nonetheless, it tends to be unequivocally expected that a fraction of these subjects will never expose to the event of interest. The cure rate models are usually used to model this type of data. In this paper, we introduced a maximum likelihood estimates analysis for the four-parameter exponentiated Weibull exponential (EWE) distribution in the existence of cured subjects, censored observations, and predictors. Aiming to include the fraction of unsusceptible (cured) individuals in the analysis, a mixture cure model, and two non-mixture cure models—bounded cumulative hazard model, and geometric non-mixture model with EWE distribution—are proposed. The mixture cure model provides a better fit to real data from a Melanoma clinical trial compared to the other two non-mixture cure models.
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