Hilborn, Robert C.

Permanent URI for this collectionhttps://hdl.handle.net/10735.1/3112

Robert Hilborn is a professor and program head of the Department of Science/Mathematics Education. Dr. Hilborn’s research interests include lasers, atomic and molecular spectroscopy, and nonlinear dynamic systems. As head of Science and Mathematics Education he has been involved in professional development of new STEM faculty members as well as the use of peer instruction in large lecture classes, the development of conceptual surveys to test conceptual development in STEM courses, and the role of college and university STEM departments in developing and sustaining change in STEM education.

For more information about Dr. Hilborn see his Faculty Profile and Research Explorer pages.

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    The Transition between Stochastic and Deterministic Behavior in an Excitable Gene Circuit
    (2012-04-11) Hilborn, Robert C.; Brookshire, Benjamin; Mattingly, Jenna; Purushotham, Anusha; Sharma, Anuraag; Hilborn, Robert C.; Brookshire, Benjamin; Mattingly, Jenna; Purushotham, Anusha; Sharma, Anuraag
    We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise-induced oscillations. Near a bifurcation point in the ODE model, the stochastic simulation model yields behavior dramatically different from that predicted by the ODE model. We analyze how that behavior depends on the gene copy number and find very slow convergence to the large number limit near the bifurcation point. The implications for understanding the dynamics of gene circuits and other birth-death dynamical systems with small numbers of constituents are discussed. © 2012 Hilborn et al.

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