Modelling Time-Dependent Interaction in a Time-Varying Covariate and Its Application to Rejection Episodes and Kidney Transplant Failure

Biometrics ◽  
1998 ◽  
Vol 54 (2) ◽  
pp. 712 ◽  
Author(s):  
Dennis M. Heisey ◽  
Annie P. Foong
2014 ◽  
Vol 85 (6) ◽  
pp. 1404-1411 ◽  
Author(s):  
Ruth Sapir-Pichhadze ◽  
Yao Wang ◽  
Olusegun Famure ◽  
Yanhong Li ◽  
S. Joseph Kim

2018 ◽  
Vol 38 (8) ◽  
pp. 904-916 ◽  
Author(s):  
Aasthaa Bansal ◽  
Patrick J. Heagerty

Many medical decisions involve the use of dynamic information collected on individual patients toward predicting likely transitions in their future health status. If accurate predictions are developed, then a prognostic model can identify patients at greatest risk for future adverse events and may be used clinically to define populations appropriate for targeted intervention. In practice, a prognostic model is often used to guide decisions at multiple time points over the course of disease, and classification performance (i.e., sensitivity and specificity) for distinguishing high-risk v. low-risk individuals may vary over time as an individual’s disease status and prognostic information change. In this tutorial, we detail contemporary statistical methods that can characterize the time-varying accuracy of prognostic survival models when used for dynamic decision making. Although statistical methods for evaluating prognostic models with simple binary outcomes are well established, methods appropriate for survival outcomes are less well known and require time-dependent extensions of sensitivity and specificity to fully characterize longitudinal biomarkers or models. The methods we review are particularly important in that they allow for appropriate handling of censored outcomes commonly encountered with event time data. We highlight the importance of determining whether clinical interest is in predicting cumulative (or prevalent) cases over a fixed future time interval v. predicting incident cases over a range of follow-up times and whether patient information is static or updated over time. We discuss implementation of time-dependent receiver operating characteristic approaches using relevant R statistical software packages. The statistical summaries are illustrated using a liver prognostic model to guide transplantation in primary biliary cirrhosis.


2014 ◽  
Vol 37 (11) ◽  
pp. 803-808 ◽  
Author(s):  
Fabrizio Fabrizi ◽  
Roberta D'Ambrosio ◽  
Francesco Pallotti ◽  
Luisa Berardinelli ◽  
Piergiorgio Messa ◽  
...  

2018 ◽  
Vol 102 ◽  
pp. S534
Author(s):  
Lara Belmar Vega ◽  
Juan Carlos Ruiz San Millán ◽  
Luis Galván Espinoza ◽  
Rosalía Valero San Cecilio ◽  
Luis Martín Penagos ◽  
...  

Author(s):  
Marine Freist ◽  
Dominique Bertrand ◽  
Elodie Bailly ◽  
Céline Lambert ◽  
Paul Olivier Rouzaire ◽  
...  

2018 ◽  
Vol 34 (5) ◽  
pp. 858-863 ◽  
Author(s):  
Myriam Benomar ◽  
Clement Vachey ◽  
Thierry Lobbedez ◽  
Julie Henriques ◽  
Didier Ducloux ◽  
...  

2014 ◽  
Vol 625 ◽  
pp. 229-232 ◽  
Author(s):  
Abul Hassan Ali ◽  
Atif Muhammad Ashraf ◽  
Azmi Mohd Shariff ◽  
Saibal Ganguly

The paper presents the concept of cryogenic growth kinetics during separation of CO2from natural gas using Avrami nucleation model. The interface frost layer on the glass packing of cryogenic bed is assumed asgerm nuclei. The bed porosity is considered time dependent. The expression for time varying bed porosity is derived based on Avrami model. The experimentation was conducted to validate the model and the resulting simulation studies show good resemblance with experimental results.


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