Multiple sclerosis is a disease that affects the brain and spinal cord, it can lead to severe disability and has no known cure. The majority of prior work in machine learning for multiple sclerosis has been centered around using Magnetic Resonance Imaging scans or laboratory tests; these modalities are both expensive to acquire and can be unreliable. In a recent paper it was shown that disease progression can be predicted effectively using performance outcome measures (POMs) and demographic data. In our work we extend on this to focus on the modeling side, using continuous time models on POMs and demographic data to predict progression. We evaluate four continuous time models using a publicly available multiple sclerosis dataset. We find that continuous models are often able to outperform discrete time models. We also carry out an extensive ablation to discover the sources of performance gains, we find that standardizing existing features leads to a larger performance increase than interpolating missing features.