Math Modeling Seminar: Discovering Reproductive Phenotypes

Discovering Reproductive Phenotypes: a Comprehensive Approach

Dr. Erica J. Graham
Assistant Professor of Mathematics
Bryn Mawr College

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Abstract:
A normally functioning menstrual cycle requires significant crosstalk between hormones originating in ovarian and brain tissues. Reproductive hormone dysregulation may cause abnormal function and sometimes infertility. The complex endocrine system creates a challenge for identifying mechanisms of cycle disruption, particularly given the large number of unknown parameters in existing mathematical models. In this talk, I will discuss a new endocrine model that limits model complexity and an algorithm for comprehensive model analysis through Monte Carlo and statistical methods. I will also discuss how this approach can be used to identify mechanisms that differentiate regular and irregular phenotypes.

Speaker Bio:
Dr. Erica J. Graham is an assistant professor of mathematics at Bryn Mawr College. She holds a bachelor’s degree in mathematics from Bryn Mawr College and master’s and doctoral degrees in mathematics from the University of Utah. Her research in mathematical biology focuses on applications to endocrinology and physiology. Her particular research interests include cellular mechanisms of type 2 diabetes progression, anticoagulant (blood thinner) effectiveness, immune-mediated mechanisms of blood clotting, and reproductive hormone regulation as related to ovulatory dysfunction. Professor Graham is a co-founder of the Mathematically Gifted & Black website, which in 2021 partnered with SIAM to create a new early-career fellowship for historically excluded groups. She is committed to redefining mathematical and academic spaces with a vision toward equity, inclusion and anti-racism.

Intended Audience:
Undergraduates, graduates, and experts. Those with interest in the topic.

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The Math Modeling Seminar will recur each week throughout the semester on the same day and time. Find out more about upcoming speakers on the Mathematical Modeling Seminar Series webpage.