Page may be out of date
This page has not been updated in the last 5 years. The content on this page may be incorrect. If you have any questions please contact the web team.

Colloquium: “Mathematical Modeling and Simulation for Biological Applications”

Marshall University Math Colloquium
April 11, 2014

Dr. Lingxing Yao
Case Western Reserve University

Abstract
In this talk, I will go over some of my research projects in mathematical modeling and simulation for biological applications. I will focus on the analysis of a Hydrogel/Enzyme drug delivery oscillator, which involved mathematical modeling and dynamical analysis of models. It is well known that hydrogels are soft materials similar to natural tissue, and can be found in applications such as food additives, contact lens, cosmetic surgery, wound healing, and drug delivery devices. Since hydrogels are made of cross linked polymer networks that are capable of absorbing large amounts of water, they can be present in swollen or collapsed state. Under carefully designed physical and chemical conditions, we could observe volume phase transitions in polyelectrolyte hydrogels between those states, sometimes repeatedly. In this presentation, I will address the modeling of gel swelling, by combining the theory of the elastic, electrostatic and mixing energy in a model membrane made of polyelectrolyte hydrogel. Based on these energy principles, it is possible to propose the mathematical model system which is capable of explaining the oscillatory volume phase transition seen in a real membrane oscillator built in engineering laboratory for the purpose of hormone drug delivery. Some detailed analysis and results of the model system will be presented.

Contact Us

Department of Mathematics & Physics

Office: Smith Hall 523

Office Hours: Mon – Fri, 8:00am – 4:30pm

Email: math-physics@marshall.edu

Phone: 304-696-6482

Need Math Help?

Get a Job with Math

Math Honor Society

Student Resources