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Updated: Jun 13, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
A new threshold regression model for survival data with a cure fraction
Sungduk Kim1, Ming-Hui Chen, Dipak K Dey
1Division of Epidemiology, Statistics and Prevention Research, Eunice Kennedy Shriver National Institute of Child Health and Human Development, NIH, Rockville, MD 20852, USA. kims2@mail.nih.gov
This study introduces new mathematical models to understand disease cure rates by incorporating immune response and cell dynamics. These models help analyze patient recovery in clinical trials.
Area of Science:
- Biostatistics
- Mathematical Oncology
- Immunology
Background:
- Advanced medical treatments improve cure rates for some diseases.
- Understanding factors influencing patient recovery is crucial for treatment optimization.
Purpose of the Study:
- To develop general mathematical models that incorporate a cure fraction.
- To model the influence of latent metastatic-competent tumor cells (N) and immune system antibody levels (R).
Main Methods:
- Development of a general class of mathematical models.
- Examination of model properties.
- Implementation of a Markov chain Monte Carlo (MCMC) sampling algorithm for Bayesian computation.
- Model fitting and comparison.
Main Results:
- The proposed models provide a framework for analyzing cure fractions in diseases.
- Bayesian computation using MCMC facilitates model fitting and comparison.
- The methodology is demonstrated using real data from a prostate cancer clinical trial.
Conclusions:
- The developed models offer a robust approach to understanding disease cure dynamics.
- The methodology is applicable to analyzing clinical trial data and improving treatment strategies.
- Incorporating latent variables like cell counts and immune response enhances cure fraction modeling.
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