According to Wikipedia, Analytics is "the discovery and communication of meaningful patterns in data. Especially valuable in areas rich with recorded information, analytics rely on the simultaneous application of statistics, computer programming and operations research to quantify performance."
Medical modeling and simulation, as an analytic tool or capability, are an integral part of healthcare analytics. Certainly, data analysis can be performed without models; however, models provide the flexibility to evaluate multiple threads, look for optimizing characteristics, or chase theories, for example.
In my mind, healthcare analytics is a natural extension of medical data analysis enabled by modeling and simulation.
The Promise of Healthcare Analytics article.