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Joint longitudinal and survival-cure models in tumour xenograft experiments

Pan, Jianxin and Bao, Yanchun and Dai, Hongsheng and Fang, Hong-Bin (2014) 'Joint longitudinal and survival-cure models in tumour xenograft experiments.' Statistics in Medicine, 33 (18). pp. 3229-3240. ISSN 0277-6715

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In tumour xenograft experiments, treatment regimens are administered, and the tumour volume of each individual is measured repeatedly over time. Survival data are recorded because of the death of some individuals during the observation period. Also, cure data are observed because of a portion of individuals who are completely cured in the experiments. When modelling these data, certain constraints have to be imposed on the parameters in the models to account for the intrinsic growth of the tumour in the absence of treatment. Also, the likely inherent association of longitudinal and survival‐cure data has to be taken into account in order to obtain unbiased estimators of parameters. In this paper, we propose such models for the joint modelling of longitudinal and survival‐cure data arising in xenograft experiments. Estimators of parameters in the joint models are obtained using a Markov chain Monte Carlo approach. Real data analysis of a xenograft experiment is carried out, and simulation studies are also conducted, showing that the proposed joint modelling approach outperforms the separate modelling methods in the sense of mean squared errors.

Item Type: Article
Uncontrolled Keywords: constrained parameters; joint longitudinal and survival-cure model; Markov chain Monte Carlo; xenograft experiment
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health
Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 16 Oct 2014 13:32
Last Modified: 15 Jan 2022 00:43

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