Gregory Herschlag joins Mathbio Program

Gregory Herschlag

Gregory Herschlag joins the Duke University Department of Mathematics as a Visiting Assistant Professor after completing the PhD degree program at University of North Carolina Chapel Hill. Gregory obtained his Ph.D. in the mathematics department. His primary research interests are developing techniques for closing constitutive laws, fluid mechanics, and molecular dynamics, along with applications of each of these fields to problems in biology.

Prior to his graduate studies, Gregory received a B.S. with honors in mathematics from the University of Chicago. During his undergraduate career, he participated in three REU's at the University of Chicago, during which studied PDE and the gauge theory of integration. Gregory carried out his graduate work at UNC under the guidance of Sorin Mitran. His thesis project consisted of developing non-periodic boundary conditions for molecular systems close to solid-liquid phase transitions which were then used to predict closures for the Stefan sharp interface model of solidification. In addition to his thesis work, Gregory worked with Laura Miller on modeling jelly fish swimming at intermediate Reynolds numbers, and M. Gregory Forest on modeling fluid volume regulation at bronchial epithelial layers.

In many areas of modeling, including many biological problems, parameter estimation leads to disparate values through experiments and occasionally relies on setting an underlying model. Gregory is interested in a variety of questions that involve developing methods to gain a better sense of the space in which these parameters lie. For example, in modeling the lung, the activity of many channels on the epithelial layer has proven difficult to find via direct experimental measurement, however different models may help refine the space of viable parameter sets.

Gregory is currently teaching Math 353, Ordinary and Partial Differential Equations, in Fall 2013. He is looking forward to working with Anita Layton by developing computational methods for fluid and passive transport of solvents via peristalsis in the kidney.