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Gray’s Time-Varying Coefficients Model for Posttransplant Survival of Pediatric Liver Transplant Recipients with a Diagnosis of Cancer

Ren, Yi and Chang, Chung-Chou H. and Zenarosa, Gabriel L. and Tomko, Heather E. and Donnell, Drew Michael S. and Kang, Hyung-joo and Roberts, Mark S. and Bryce, Cindy L. (2013) Gray’s Time-Varying Coefficients Model for Posttransplant Survival of Pediatric Liver Transplant Recipients with a Diagnosis of Cancer. Computational and Mathematical Methods in Medicine, 2013. pp. 1-13. ISSN 1748-670X

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Transplantation is often the only viable treatment for pediatric patients with end-stage liver disease. Making well-informed decisions on when to proceed with transplantation requires accurate predictors of transplant survival. The standard Cox proportional hazards (PH) model assumes that covariate effects are time-invariant on right-censored failure time; however, this assumption may not always hold. Gray’s piecewise constant time-varying coefficients (PC-TVC) model offers greater flexibility to capture the temporal changes of covariate effects without losing the mathematical simplicity of Cox PH model. In the present work, we examined the Cox PH and Gray PC-TVC models on the posttransplant survival analysis of 288 pediatric liver transplant patients diagnosed with cancer. We obtained potential predictors through univariable (P<0.15) and multivariable models with forward selection (P<0.05) for the Cox PH and Gray PC-TVC models, which coincide. While the Cox PH model provided reasonable average results in estimating covariate effects on posttransplant survival, the Gray model using piecewise constant penalized splines showed more details of how those effects change over time.


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Item Type: Article
Status: Published
CreatorsEmailPitt UsernameORCID
Ren, Yi
Chang, Chung-Chou H.
Zenarosa, Gabriel L.
Tomko, Heather
Donnell, Drew Michael S.
Kang, Hyung-joo
Roberts, Mark S.
Bryce, Cindy
Date: 2013
Date Type: Publication
Journal or Publication Title: Computational and Mathematical Methods in Medicine
Volume: 2013
Publisher: Hindawi Limited
Page Range: pp. 1-13
DOI or Unique Handle: 10.1155/2013/719389
Schools and Programs: Swanson School of Engineering > Industrial Engineering
Refereed: Yes
ISSN: 1748-670X
Official URL:
Article Type: Research Article
Date Deposited: 13 May 2020 16:47
Last Modified: 13 May 2020 16:47


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