Joint Modeling of Longitudinal Measurements and Multiple Failure Time Using Fully-specified Subdistribution Model: A Bayesian Perspective

Fatemeh Sadat Hosseini-Baharanchi; Ahmad Reza  Baghestani; Taban  Baghfalaki; Ebrahim  Hajizadeh; Katayoun  Najafizadeh; Shadi  Shafaghi

doi:10.13052/jrss0974-8024.13241

Fatemeh Sadat Hosseini-Baharanchi Minimally Invasive Surgery Research Center & Department of Biostatistics, School of Public Health, Iran University of Medical Sciences, Tehran, Iran
Ahmad Reza Baghestani Physiotherapy Research Center & Department of Biostatistics, Faculty of Paramedical Sciences, Shahid Beheshti University of Medical Sciences, Tehran, Iran
Taban Baghfalaki Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran
Ebrahim Hajizadeh Department of Biostatistics, Faculty of Medical Sciences, Tarbiat Modares University, Tehran, Iran
Katayoun Najafizadeh Lung Transplantation Research Center, National Research Institute of Tuberculosis and Lung Diseases, Shahid Beheshti University of Medical Sciences, Tehran, Iran
Shadi Shafaghi Lung Transplantation Research Center, National Research Institute of Tuberculosis and Lung Diseases, Shahid Beheshti University of Medical Sciences, Tehran, Iran

DOI: https://doi.org/10.13052/jrss0974-8024.13241

Keywords: Bayesian analysis, competing risks, joint modeling, longitudinal measurements, shared parameter model

Abstract

In biomedical studies, competing risks framework in which an individual fails due to multiple causes is frequently available. Joint modeling of longitudinal measurements and competing risks has become prominent, recently. In this paper, we proposed a joint model considering fully- specified subdistribution model introduced by Ge and Chen (2012) and longitudinal measurements. The proposed model links a linear mixed effect submodel to a fully-specified subdistribution submodel through a shared random effect. A Bayesian paradigm using MCMC is adopted to estimate the parameters. Performance of the proposed model is illustrated using a simulation study. In addition, this model is used to analyze the lung transplant dataset.

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Author Biographies

Fatemeh Sadat Hosseini-Baharanchi, Minimally Invasive Surgery Research Center & Department of Biostatistics, School of Public Health, Iran University of Medical Sciences, Tehran, Iran

F. S. Hosseini-Baharanchi received her B.Sc. degree in Statistics and M.Sc. degree in Biostatistics from Tehran University of Medical Sciences; and Ph.D. degree in Biostatistics in 2016 from Tarbiat Modares University, Iran. Fatemeh was a visiting scholar in University of Connecticut, USA 2015. She is working in Iran University of Medical Sciences, Iran as an assistant professor in Biostatistics department since 2016. She is experienced in statistical modeling especially survival modeling and joint modeling of survival data and longitudinal measurements, especially in medical area. In addition, Fatemeh, as a member of international federation of Inventors Association, Geneva, Switzerland, helps students to pass the process of idea-to-patent as well as inventors to protect their intellectual property. She’s been focused on personal development, personal branding and innovative business models generation since 2018.

Ahmad Reza Baghestani, Physiotherapy Research Center & Department of Biostatistics, Faculty of Paramedical Sciences, Shahid Beheshti University of Medical Sciences, Tehran, Iran

A. R. Baghestani received his B.Sc. degree in Statistics from Shahid Beheshti University and M.Sc. degree in Statistics from Tehran University of Medical Sciences; and Ph.D. degree in Biostatistics in 2010 from Tarbiat Modares University, Iran. He is associate professor in Biostatistics department in Shahid Beheshti University of Medical Sciences, Iran since 2011. He is fully-experienced in survival modeling, joint modeling, defective distributions, and competing risks analysis.

Taban Baghfalaki, Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran

T. Baghfalaki completed his Master’s degree and Ph.D. from Shahid Beheshti University, Tehran, Iran in Statistics. She has more than 15 years of research experience. She is presently an Assistant Professor of Statistics at Tarbiat Modares University.

Ebrahim Hajizadeh, Department of Biostatistics, Faculty of Medical Sciences, Tarbiat Modares University, Tehran, Iran

E. Hajizadeh received his Master’s degree in Statistics and his Ph.D. in Biostatistics from India in 1990. He is working in area of Statistics; education and research in the national and international level since 1990. He is a full Professor in Tarbiat Modares University. His area of expertise is survival analysis, competing risks data analysis, advanced linear modeling in national and international researches (including United Nations) in the field of medical and environmental topics.

Katayoun Najafizadeh, Lung Transplantation Research Center, National Research Institute of Tuberculosis and Lung Diseases, Shahid Beheshti University of Medical Sciences, Tehran, Iran

K. Najafizadeh is a Pulmonary Disease Specialist who established the Lung transplant program in 2000 in Iran. In 2004 she also established organ donation program in one of the main Universities of Tehran to increase the rate of organ donation for patients on transplant waiting lists especially on the list of lung transplant which was her main concern. She performed some projects for increasing the donation rate in this University and could get the family consent rate of 96% and make a PMP of 32.4 in its area with 10 million population with her colleagues. Katayoun was assigned the Director of Organ donation and Transplantation Office of the Ministry of Health of Iran in 2014. Again her colleagues and she presented some projects to the Minister of Health and with his approval and Iranian Supreme Transplant Council confirmation they started these projects in the country and could increase the organ donation rate in Iran significantly. She also with the best of Iranian Transplant and also Culture and Art experts of Iran established a NGO named “Iranian Society of Organ Donation” to help the Ministry of Health Transplant Management Center especially in issues like Social awareness activities, Donor family support, Donor teams education, research and every other related activities which is needed to improve organ donation and transplantation in Iran. In 2018 responsibility of establishing “Organ donation and Transplantation Registry of Iran” (OTRI), “Organ Transfer System of Iran” (OTSI), Quality assurance and audit of organ procurement units and some other important projects of the Ministry of Health has been passed to ISOD and she with her colleagues in their NGO are hardly working on these important issues. She has been a member of ISODP council since 2017.

Shadi Shafaghi, Lung Transplantation Research Center, National Research Institute of Tuberculosis and Lung Diseases, Shahid Beheshti University of Medical Sciences, Tehran, Iran

S. Shafaghi is a MD., PhD. She was lung transplant coordinator and responsible for pre and post lung transplantation follow up for 5 years till 2015. She established ex-vivo lung perfusion program in Iran in 2016 as her PhD thesis in order to increase the rate of lung donation for patients on long transplant waiting list. Then she was in charge of organ allocation in Iranian Ministry of Health and Medical Education from 2015 to 2018. She has dramatic role for establishing computerized organized national organ donation and transplantation registry in Iran. In 2018 responsibility of research committee of “Organ donation and Transplantation Registry of Iran” (OTRI) project has been passed to her. She was assigned the researcher of cardiovascular diseases department in lung transplantation research unit of national research institute of tuberculosis and lung disease (NRITLD) of Shahid Beheshti University of Medical Sciences, Tehran, Iran.