Rod Gentry Department of Mathematics and Statistics and the Biophysics Interdepartmental Group B.I.G. University of Guelph Guelph, Ontario Canada N1G 2W1 Office: MACN 542 Telephone Area 519 824-4120 EXT: 3573 Fax: Area 519 837-0221 E-MAIL rgentry@uoguelph.ca Teaching schedule Fall semester 01: Math*1080 Elements of Calculus    Tu-Th  8:30-10:00, Th 2:30-3:20 MATH*4510 Environmental Transport Modeling  MWF 12:30-1:20   Winter Semester 02 Math*2080   Elements of Calculus II  MWF 8:30-9:30 AXEL 200 Office hours:  I am normally in the office every day. Drop by or give a call or e-mail (except MATH1080 students, who should first access the Math Learning Center for help or should see me personally.)

Research Group  Summer 2001 

Above, Left to right: Rod Gentry, Nichol Watt, Sharene Bungay, Michael Butler

Links to Courses that I have recently taught.

Course MATH*1080    Course MATH*4510   Course MATH*6051   Course MATH*2170

Personal Information

Degrees: B.A., M.A. Western Washington State, Ph.D. University of California, Davis

Visiting appointments at other institutions:

• Risk Assessment Section, Health and Safety Research Div. Oak Ridge National Lab. 1978-79
• Dept. of Physiology and Pharmacology, Beijing Vet. College 1985
• Institute for Social and Preventive Medicine, University of Bern, Switzerland 1986
• Mathematics Dept. Univ. of Calif. Davis. 1988-89
• Dept. of Animal Sciences, Univ. of Illinois, Urbana- Champaign, 1995
• Institute for Theoretical Dynamics, Univ. of Calif. Davis 1996

Research Interests

Mathematical Modeling:

•     The kinetics of blood coagulation, specifically Tissue Factor activation of factor X.
•     The kinetics of flow reactors .
•     Surface mediated enzymatic reactions.
•     Biochemical kinetics and physiological processes.

My principal research is part of a collaborative project that is focused on elucidating the mechanisms and kinetics of the Tissue Factor pathway leading to blood coagulation. This modeling entails close collaboration with medical researchers, and involves the development and analysis of both differential equation models and stochastic computer simulation models of the underlying physic-chemical processes. Our current work is focusing on two problems. One is to establish the kinetic role of rotational diffusion of membrane bound substrates that diffuse transitionally to an enzyme on the membrane. The other is to understand the kinetics of a flow reactor, this is an experimental analog of a blood vessel, consisting of a cylinder with enzymes attached to its surface through which a fluid carrying the substrate flows. In such systems, both connective and diffusional processes are involved in carrying the substrate to the enzyme attached on the tube wall. The mathematical analysis of this problem is difficult because of the boundary conditions. To explore the kinetics of such reactors for different enzyme density on the tube surface and for different substrate concentrations entering the system we are utilizing a simulation model that incorporates fluid flow, diffusion, and enzymatic kinetics.

Research associates include:

• Thrombosis Research Division, Dept. of Medicine, Mt. Sinai School of Medicine, New York:
•     Yale Nemerson , Director of the  Thrombosis Research Group
•     Sandy Ross , and
•     Mark Taubman:

• Jolon Jesty , Dept. of Medicine,and Ed Beltrami, Dept. of Mathematics, State University of New York, Stonybrook.

• Bill Konigsberg, Dept. of Molecular Biophysics and Biochemistry, Yale University.

• Li Qiang Ye, Guangzhou International School, Longdong, Tianhe Distric, Guangzhou, Guangdong, China 51052.

Recent Publications and Presentations.

• Andree, HM, Contino, PB, Repke, D, Gentry, R, and Nemerson, Y. "Transport Rate Limited Catalysis on Macroscopic Surfaces: The Activation of Factor X in a Continuous Flow Enzyme Reactor." Biochemistry, 33:4368- 4374, 1994.
• Rodney Gentry, Liqiang Ye, and Yale Nemerson. "A Microscopic Model of Enzyme Kinetics." The Biophysical Journal, 69:356-361, 1995.
• Rodney Gentry, Liqiang Ye, and Yale Nemerson. "Surface Mediated Enzymatic Reactions: Simulations of Tissue Factor Activation of Factor X on a Lipid Surface." The Biophysical Journal, 69:362-371, 1995.
• Rodney D. Gentry and Liqiang Ye, "Modeling surface mediated enzymatic reactions in a flow system." In Computer Simulations in Biomedicine, C. A. Brebbia, T. T. Hart, and H. Power editors. CML Publications, 225-323, 1995.
• C.U. Leon-Velarde, I. McMillan, R.D. Gentry, and J.W. Wilton, "Models for Estimating Typical Lactation Curves in Dairy Cattle.", Journal of Animal Breeding and Genetics, 112:333-340, 1995.
• L. Ye, R. D. Gentry and Y. Nemerson. "Simulation of lipid surface reactions in blood coagulation." Fed. Am. Soc. Exp. Biol. Fed. Proceedings, 2, 5024, 1991.
• L. Ye, R. D. Gentry and Y. Nemerson. "A random walk model of lipid surface reactions in blood coagulation." Can. Fed. Biol. Soc. Proceedings, 31, Abs. 545 1988.
• R. Gentry and Y. Nemerson. "The activation of prothrombin: a linked reactive kinetic model." Proc. XIth Int. Congress on Thrombosis and Haemostasis, Belgium, July 6-10, 1987.
• Y. Nemerson and R. D. Gentry. " An ordered addition essential activation model of the Tissue Factor pathway of coagulation: Evidence for a conformational cage." Biochemistry, 25:420-433 (1986).
• R. Bach, R. Gentry and Y. Nemerson. "Factor VII binding to Tissue Factor in reconstituted phospholipid vesicles: Induction of cooperativity by phosphatidylserine." Biochemistry, 25:401-419, 1986.

BOOKS

• R. D. Gentry. Introduction to applied Calculus for the Life Sciences, Addison-Wesley, Reading, Mass., 1978.
• Rodney D. Gentry, APPLIED CALCULUS, Harper Collins, 1995, p725 ISBN:0-673-99933-5

Graduate Students

Sharene Bungay BSc MSc Memorial University NFL PhD Thesis topic: Modeling the Thrombolytic System in Follicular Fluid Personal Web Page: http://www.math.mun.ca/~sharene/  E-mail: sbungay@uoguelph.ca

Michael Butler, MSc Student Fall 1999 Tentative Thesis Topic: Kinetics of the Fibrinolytic System Personal Web Page http://www.uoguelph.ca/~mbutler/ E-Mail to mbutler@uoguelph.ca

Lisa Barrucco Stansfield MSc Project: "Influence of Rotational Diffusion on Surface Reactions in Coagulation: Simulation Studies" (1997) Currently: Programmer Analyst with The Royal Bank, Toronto E-Mail to lisa@iridani.com

Andy Johnston

Optimizing Insulin Delivery in an Artificial Beta-cell Environment., MSc 1995

Currently: employed with Northern Digital, Waterloo Ontario
E-Mail to andy@ndigital.com

Jill Degroote

Mathematical Modeling of HIV Transmission., MSc 1994

Currently:  Enjoying Life.

Was a PhD student Dept. Biostatistics, Community Health Sciences, University of Calgary but has moved to Pensylvania and is raising two children. 

Dana Rusu

Nonlinear kinetics models of reactions catalyzed by enzymes attached to the interior surface of a tubular flow reactor. MSc 1994

Currently: Teacher training

 

Cindy-Ann Ritchie

Two Approaches to modelling daily temperature data using time series analysis., MSc 1995

Currently: employed with GLAXO, Toronto Ontario.

Liqiang Ye

MSc 1986  A study of an automated manufacturing process: modeling and simulation of an automotive assembly line.

 

PhD. Thesis: Computer simulation studies of lipid surface reactions in blood coagulation., PhD 1990 (Biophysics)

        Post-Doctoral Fellow. 1991-4

Currently: Principal, Guangzhou International School, Longdong, Tianhe Distric, Guangzhou, Guangdong, China 51052. gzhuamei@public1.guangzhou.gd.cn

Summer Students

Nicole Watt   Summer 2001   Office  MACNAUGHTON 539 Web page:  http://www.uoguelph.ca/~nwatt Working on simulations of diffusion through regions with elliptical obstacles.

/Post-Doctoral Fellows

Liqiang Ye   1992-4

Andrew Kuharsky   1998-9