Application of trajectories from growth curve in identification of longitudinal biomarker for the multivariate survival data

ABSTRACT

In clinical studies, the researchers measure the patients' response longitudinally. In recent studies, Mixed models are used to determine effects in the individual level. In the other hand, Henderson et al. [3,4] developed a joint likelihood function which combines likelihood functions of longitudinal biomarkers and survival times. They put random effects in the longitudinal component to determine if a longitudinal biomarker is associated with time to an event. In this paper, we deal with a longitudinal biomarker as a growth curve and extend Henderson's method to determine if a longitudinal biomarker is associated with time to an event for the multivariate survival data.

KEYWORDS:

• Biomarker
• Cox's model
• growth curve
• longitudinal data analysis
• score test

Disclosure statement

No potential conflict of interest was reported by the author.