Gary S. Krenz, Ph.D.

Professor, Marquette University
Research Mathematician, Zablocki VA Medical Center
Clinical Professor, Medical College of Wisconsin

Short Bio

In 1996, he received his university's highest teaching award and in 2001, its Ignatian Pedagogy Award. In 2004, the Helen Way Klingler College of Arts and Sciences honored him with its Faculty Award for Excellence in Advising. These awards would not have been possible without the wonderful students and colleagues he has had the honor of working with during his years at Marquette.

When he is not busy teaching, in collaboration with practicing physician/scientists, physiologists, cell biologists and biomedical engineers, Dr. Krenz studies various nonrespiratory functions of the lung; that is, what the lung does BESIDES gas exchange. In particular, he applies mathematics to (mathematically!) model cellular metabolism and hemodynamic properties of the lung. These investigations have involved several approaches, such as ongoing work incorporating available vessel morphometric data within the framework of "simple" deterministic homogeneous vascular networks, as well as nondeterministic heterogeneous vascular networks. In addition to the hemodynamic studies, he investigates the uptake and interaction of drugs with the endothelial cells of the lung capillary bed. This research is funded by the National Institutes of Health and the Department of Veteran's Affairs.

Dr. Krenz has published in IEEE Transactions on Circuits and Systems, SIAM Journal of Control and Optimization, Journal of Mathematical Analysis and Applications, ACM Transactions on Mathematical Software, Indian Journal of Pure and Applied Mathematics, Journal of Integral Equations and Applications, Annals of Biomedical Engineering, Free Radicals in Medicine and Biology, American Journal of Physiology and Journal of Applied Physiology.

Classes Taught

• Calculus (and calculus for the biological sciences)
• Undergraduate and graduate complex variables
• Computational modeling
• Undergraduate linear algebra
• Undergraduate and graduate differential equations
• Undergraduate and graduate real analysis
• Undergraduate course in statistical methods
• Delay differential equations
• Integral equations
• Introduction to computer science
• Undergraduate operating systems

Recent Publications

• L.D. Nelin, G.S. Krenz, L.G. Chicoine, J.F. Morrisey, C.A. Dawson and R.M.Schapira. L-arginine uptake and metabolism following in vivo silica exposure in rat lungs, Am. J. Resp. Cell Mol. Bio. 26(3):348-355, 2002.
• G.S. Krenz and C.A. Dawson. Vessel distensibility and flow distribution in vascular trees, J. Math. Biol. 44(4):360-374, 2002.
• G.G. Hamedani, N. Bansal, C.A. Dawson, K.L. Karau and G.S. Krenz. The theory of ratios of normal variables and its application to biomedical data. J. of Applied Statistical Sciences 1(2):83-100, 2002.
• G.S. Krenz and C.A. Dawson. Flow and pressure distributions in vascular networks consisting of distensible vessels. Am. J. Physiol. Heart Circ. Physiol. 284: H2192-H2203, 2003.
• B. Suki, A.M. Alencar, U. Frey, P.C. Ivanov, S.V. Buldrev, A. Majumdar, H.E. Stanley, C.A. Dawson, G.S. Krenz and M. Mishima. Fluctuations, noise and scaling in the cardio-pulmonary system. Fluctuations and Noise Letters 3(1) :R1-R25, 2003.
• C.A. Dawson, S.H. Audi, G.S. Krenz and D.L. Roerig. Chapter 9. Endothelium and compound transfer. In: Molecular Nuclear Medicine: The Challenge of Genomics and Proteomics to Clinical Practice. L.E. Feinendegen, W.W. Shreeve, W.C. Eckelman, Y.-W. Bahk and H.N. Wagner, Jr., Editors. Springer, New York, 2003, pp. 201-216.
• M.P. Merker, R.D. Bongard, G.S. Krenz, H. Zhao, V.S. Fernandes, B. Kalyanaraman, N. Hogg and S.A. Audi. Impact of pulmonary arterial endothelial cells on duroquinone redox status. Free Radic. Biol. Med. 37(1):86-103, 2004.
• S.H. Audi, R.D. Bongard, G.S. Krenz, D.A. Rickaby, S.T. Haworth, J. Eisenhauer, D.L. Roerig and M.P. Merker. Effect of chronic hyperoxic exposure on duroquinone reduction in adult rat lungs. Am J Physiol Lung Cell Mol Physiol. 289(5):L788-97, 2005.
• G. Krenz and D. Rickaby. A nonlinear model for analysis of viscosity bolus data. In Mathematical Biology - Recent Trends. Peeyush Chandra and B.V. Rathish Kumar (Eds). Anamaya Publishers: New Delhi, India, 1-8, 2006.
• M.P. Merker, S.H. Audi, R.D. Bongard, B.J. Lindemer and G.S. Krenz. Influence of pulmonary arterial endothelial cells on quinone redox status: effect of hyperoxia-induced NAD(P)H:quinone oxidoreductase 1. Am J Physiol Lung Cell Mol Physiol. 290(3):L607-19, 2006.
• A.V. Clough, S.H. Audi, R.C. Molthen and G.S. Krenz. Lung circulation modeling: status and prospect. Proc. IEEE 94(4): 753- 768, 2006.
• M.P. Merker, S.H. Audi, R.D. Bongard, B.J. Lindemer and G.S. Krenz. Influence of pulmonary arterial endothelial cells on quinone redox status: effect of hyperoxia-induced NAD(P)H:quinone oxidoreductase 1. Am J Physiol Lung Cell Mol Physiol. 290(3):L607-L619, 2006.
• M.P. Merker, S.H. Audi, B.J. Lindemer, G.S. Krenz and R.D. Bongard. Role of mitochondrial electron transport complex I in coenzyme Q1 reduction by intact pulmonary arterial endothelial cells and the effect of hyperoxia. Am J Physiol Lung Cell Mol Physiol. 293(3):L809-L819, 2007.
• S.H. Audi, M.P. Merker, G.S. Krenz, T. Ahuja, D.L. Roerig, and R.D. Bongard. Coenzyme Q1 redox metabolism during passage through the rat pulmonary circulation and the effect of hyperoxia, J Appl Physiol. 105: 1114-1126, 2008.
• R.D. Bongard, B.J. Lindemer, G.S. Krenz, and M.P. Merker. Preferential utilization of NADPH as the endogenous electron donor for NAD(P)H:quinone oxidoreductase 1 (NQO1) in intact pulmonary arterial endothelial cells. Free Radic Biol Med. 46(1):25-32, 2009.
• H. Volkmer, A.V. Clough, G.G. Hamedani, A.W. Manuel S.J., and G. Krenz. Complete monotonicity of flow and cross-sectional impulse response functions for rigid right circular tubes, J Math Anal Appl 352:702-710, 2009.
• Rahul Shingrani, Gary Krenz, Robert C. Molthen. Automation process for morphometric analysis of volumetric CT data from pulmonary vasculature in rats, Computer Methods and Programs in Biomedicine 97(1): 62-77, 2010.

Membership in Professional and Honorary Societies

• American Heart Science Council
• American Physiological Society
• Biomedical Engineering Society
• Society for Industrial and Applied Mathematics
• Society for Mathematical Biology
• Sigma Xi

Honors/Awards

• Marquette University Rev. John P. Raynor, S.J., Faculty Award for Teaching Excellence, 1996
• Marquette University Ignatian Pedagogy Award, 2001
• Marquette University Chapter of Sigma Xi Distinguished Scientific Research Achievement Award for Mathematical Modeling of Pulmonary Hemodynamics, 2004
• [Marquette University] Helen Way Klingler College of Arts and Sciences Faculty Award for Excellence in Advising, 2004
• hALL STAR Award from the [Marquette University] St. Joan of Arc Chapter of the National Residence Hall Honorary, 2006