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Updated: Nov 6, 2025

Mouse Kidney Transplantation: Models of Allograft Rejection
Published on: October 11, 2014
Functional joint models for chronic kidney disease in kidney transplant recipients
Jianghu James Dong1,2, Jiguo Cao3, Jagbir Gill4
1Department of Biostatistics, University of Nebraska Medical Center, NE, USA.
Abstract:
This functional joint model paper is motivated by a chronic kidney disease study post kidney transplantation. The available kidney organ is a scarce resource because millions of end-stage renal patients are on the waiting list for kidney transplantation. The life of the transplanted kidney can be extended if the progression of the chronic kidney disease stage can be slowed, and so a major research question is how to extend the transplanted kidney life to maximize the usage of the scarce organ resource. The glomerular filtration rate is the best test to monitor the progression of the kidney function, and it is a continuous longitudinal outcome with repeated measures. The patient's survival status is characterized by time-to-event outcomes including kidney transplant failure, death with kidney function, and death without kidney function. Few studies have been carried out to simultaneously investigate these multiple clinical outcomes in chronic kidney disease stage patients based on a joint model. Therefore, this paper proposes a new functional joint model from this clinical chronic kidney disease study. The proposed joint models include a longitudinal sub-model with a flexible basis function for subject-level trajectories and a competing-risks sub-model for multiple time-to event outcomes. The different association structures can be accomplished through a time-dependent function of shared random effects from the longitudinal process or the whole longitudinal history in the competing-risks sub-model. The proposed joint model that utilizes basis function and competing-risks sub-model is an extension of the standard linear joint models. The application results from the proposed joint model can supply some useful clinical references for chronic kidney disease study post kidney transplantation.
Insights
This study introduces a new functional joint model to extend transplanted kidney life by analyzing chronic kidney disease progression and patient survival. The model aids in maximizing scarce organ resources for kidney transplant recipients.
Area of Science:
- Nephrology
- Biostatistics
- Medical Statistics
Background:
- Kidney transplantation is crucial for end-stage renal disease patients due to organ scarcity.
- Extending transplanted kidney survival is vital for maximizing organ resource utilization.
- Chronic kidney disease progression monitoring and patient survival outcomes are key clinical concerns.
Purpose of the Study:
- To propose a novel functional joint model for analyzing longitudinal kidney function and competing risks survival data post-kidney transplantation.
- To investigate methods for extending transplanted kidney life by modeling disease progression and patient survival simultaneously.
- To address the gap in research on joint modeling for multiple clinical outcomes in kidney transplant recipients.
Main Methods:
- Development of a functional joint model incorporating a longitudinal sub-model with flexible basis functions for subject-level trajectories.
- Inclusion of a competing risks sub-model to handle multiple time-to-event outcomes (kidney transplant failure, death with/without function).
- Utilizing time-dependent functions of shared random effects to link longitudinal and survival sub-models, extending standard linear joint models.
Main Results:
- The proposed functional joint model effectively integrates longitudinal kidney function data (glomerular filtration rate) with competing risks survival data.
- The model allows for flexible characterization of individual patient trajectories and their association with survival outcomes.
- Demonstrated the utility of the joint model in providing clinical insights for post-kidney transplantation management.
Conclusions:
- The novel functional joint model offers a powerful statistical framework for analyzing complex outcomes in kidney transplant recipients.
- This approach can provide valuable clinical references for managing chronic kidney disease progression and improving patient survival.
- The model contributes to the advancement of statistical methodologies for scarce resource allocation in organ transplantation.
Related Concept Videos
Chronic Kidney Disease I: Introduction
Chronic Kidney Disease II: Clinical Manifestations
Kidney Transplant I: Introduction
Chronic Kidney Disease III: Interprofessional Care
Acute Kidney Injury II: Pathophysiology
Acute Kidney Injury I: Introduction

