Eventually, Jack learns that it’s an experimental drug that was provided to Babette by a mysterious Mr. Gray (Lars Eidinger), who was the leading researcher on Dylar. The medication was initially created to eliminate the fear of death, known as thanatophobia, which Babette exhibited to an extreme. However, it turned out that Dylar actually exaggerated her fears rather than subdue them, and in doing so, it made her seek out more Dylar.

Source: https://www.distractify.com/p/what-is-dylar-medication-white-noise