Bayesian model of disease progression in mucopolysaccaridosis IIIA.

Mucopolysaccaridosis IIIA (MPS IIIA) is a rare genetic disease that afflicts children and leads to neurocognitive degeneration. We develop a Bayesian disease progression model (DPM) of MPS IIIA that characterizes the pattern of cognitive growth and decline in this disease. The DPM is a repeated measures model that incorporates a nonlinear developmental trajectory and shape-invariant random effects. This approach quantifies the pattern of cognitive development in MPS IIIA and addresses differences in biological age, length of follow-up, and clinical outcomes across natural history subjects. The DPM can be used in clinical trials to estimate the percent slowing in disease progression for treatment relative to natural history. Simulations demonstrate that the DPM provides substantial improvements in power relative to alternative analyses.