Mathematical Biology Program

University of Utah
Department of Mathematics

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Mathematical Biology seminar

Ron Siegel
University of Minnesota
"Modeling of Rhythmic Drug and Hormone Delivery"
October 27
3:05pm in LCB 225

In order to meet the need for an implantable hormone delivery system that releases gonadotropin releasing hormone (GnRH) in rhythmic pulses, we have constructed a hydrogel/enzyme system whose swelling, and hence permeability to GnRH, oscillates autonomously when fueled by constant levels of glucose. The system exhibits limit cycle-type behavior, due to an unstable negative feedback between an enzyme reaction, and a hysteretic phase transition exhibited by the hydrogel. We will present a lumped model of this system, which reproduces some of the observed behaviors. In addition, we will discuss a preliminary model for the optimization of drug delivery for drugs that exhibit tolerance.



For more information contact J. Keener, 1-6089

E-mail: keener@math.utah.edu