Bao, Yanchun and Pan, Jianxin and Dai, Hongsheng and Fang, Hong-Bin (2009) Joint Longitudinal and Survival-cure Models with Constrained Parameters in Tumour Xenograft Experiments. [MIMS Preprint]

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In tumour xenograft experiments, treatment regimens are ad- ministered and the tumour volume of each individual is measured repeatedly over time. Survival data are recorded due to the death of some individuals during the observation time period. Also, cure data are observed due to a portion of individuals who are completely cured in the experiments. When modelling these data, certain constraints have to be imposed on the param- eters 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 unbi- ased 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 us- ing a Markov chain Monte Carlo approach. Real data analysis of a xenograft experiment is carried out and simulation studies are also conducted, show- ing that the proposed joint modelling approach outperforms the separate modelling methods in the sense of mean squared errors.

Item Type: MIMS Preprint
Uncontrolled Keywords: Constrained parameters; joint longitudinal and survival-cure model; Markov chain Monte Carlo; xenograft experiment.
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 62 Statistics
Depositing User: Ms Lucy van Russelt
Date Deposited: 09 Jul 2009
Last Modified: 08 Nov 2017 18:18

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