Research

Mathematical Biology

I study mathematical models of biological systems. I'm specifically interested in using ordinary differential equations to model the human endocrine system.

In May 2026, I defended my PhD thesis, "Modeling 'Abnormal' Ovulatory Dynamics: Enzymes, Insulin, and the Impact of Stress."

hand-drawn diagram of the ovulatory cycle showing follicular growth, ovulation, and the luteal phase. Arrows between the brain and the ovaries show the roles of hormones through the cycle.

I am currently working with mathematical models of ovulation

My dissertation explores the impact of stress on ovulatory dysfunction

Past Research Projects!

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Research

Mathematical Biology

Contact me: williamssb (at) uncw (dot) edu