Judy D. Day

Assistant Professor - Department of Mathematics & Electrical Engineering and Computer Science Department

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Dr. Day earned a B.S. in Mathematics and Computer Information Systems from the University of Mount Union (Alliance, OH) and a Ph.D. in Mathematics from the University of Pittsburgh, in Pennsylvania.  She completed postdoctoral training at the Mathematical Biosciences Institute at the Ohio State University working on development and  analysis of mathematical models of tuberculosis infection and inhalation anthrax infection.  Dr. Day currently holds a joint appointment as an Assistant Professor in the Departments of Mathematics and Electrical Engineering & Computer Science at the University of Tennessee. She is also senior personnel at the National Institute for Mathematical and Biological Synthesis (NIMBioS).  In addition, she has been researching, through modeling and simulation, methods for systematically determining effective therapeutic controls for inflammation via the use of model predictive control. (Co-pi: Dr. Seddik Djouadi, EECS-UTK)  Her primary research is focused on the development and analysis of mathematical models relating to the immune response to various stimuli and the application of control methodologies to modulate the immune response with therapeutic inputs. Her interests are motivated by the potential of mathematical and engineering techniques to assist in answering vital questions in the medical field.  Her main objective is to conduct research within an interdisciplinary group to promote a symbiotic relationship among the various areas of expertise in hopes of acquiring results and developing tools of clinical relevance and academic significance.

Focus Areas:  Mathematical Modeling and Control (Model Predictive Control) | Inflammation/Immunology | Within-Host Immune Responses | Translational Medicine

Skills and Expertise:  Development and Analysis of Ordinary Differential Equations Models | Agent-Based Modeling | Dynamical Systems | Interdisciplinary Collaboration

Selected Publications:

Nonlinear State Estimation for Complex Immune Responses
W. Bara, J. Day, and S. Djouadi, 52nd IEEE Conference on Decision and Control, 2013.
Modeling the host response to inhalation anthrax
J. Day, A. Friedman, and L.S. Schlesinger, Journal of Theoretical Biology, vol. 276, no. 1, pp. 199-208, 2011.
Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation
J. Day, J. Rubin, and G. Clermont, Journal of Critical Care, vol. 26, no. 2, pp. e12, 2011.
Tuberculosis research: Going forward with a powerful "Translational Systems Biology" approach
J. Day, L.S. Schlesinger, A. Friedman, Tuberculosis, vol. 90, no. 1, pp. 7-8, 2010.
Competition between transients in the rate of approach to a fixed point
J. Day, J. Rubin, and C.C. Chow, SIAM Journal on Applied Dynamical Systems, vol. 8, no. 4, pp. 1523-1563, 2009.
Modeling the immune rheostat of macrophages in the lung in response to infection
J. Day, A. Friedman, and L.S. Schlesinger, Proceedings of the National Academy of Sciences of the United States of America, doi: 10.1073/pnas.0904846106 , 2009.
In silico and in vivo approach to elucidate the inflammatory complexity of CD14-deficient mice
J.M. Prince, R.M. Levy, J. Bartels, A. Baratt, J.M. Kane III, C. Lagoa, J. Rubin, J. Day, J. Wei, M.P. Fink, S.M. Goyert, G. Clermont, T.R. Billiar, and Y. Vodovotz, Molecular Medicine, vol. 12, no. 4-6, pp. 88-96, 2006.
In silico models of acute inflammation in animals
Y. Vodovotz, C.C. Chow, J. Bartels, C. Lagoa, J.M. Prince, R.M. Levy, R. Kumar, J. Day, J. Rubin, G. Constantine, T. Billiar, M. Fink, and G. Clermont, Shock, vol. 26, no. 3, pp. 235-244, 2006.
A reduced mathematical model of the acute inflammatory response: I. Derivation of the model and analysis of anti-inflammation
A. Reynolds, J. Rubin, G. Clermont, J. Day, and B. Ermentrout, Journal of Theoretical Biology, vol. 242, no. 1, pp. 220-36, 2006.
A reduced mathematical model of the acute inflammatory response: II. Capturing scenarios of repeated endotoxin administration
J. Day, J. Rubin, Y. Vodovotz, C.C. Chow, A. Reynolds, and G. Clermont, Journal of Theoretical Biology, vol. 242, no. 1, pp. 237-56, 2006.