Location: Bowdoin / Mary Lou Zeeman

Mathematics

Mary Lou Zeeman

R. Wells Johnson Professor of Mathematics

Phone	(207) 725-3575
Title	Professor
Department	MATHEMATICS
Work Location	102 Searles Science Building
E-Mail	mlzeeman@bowdoin.edu

mary-lou-zeeman: Bowdoin College: Mathematics

Spring 2008

Mary Lou is on leave at:
Department of Neurobiology and Behavior
Cornell University
Ithaca, NY 14853
Tel: 607 254-4379

Education

B.A. & M.A. University of Oxford, UK
Ph.D. University of California, Berkeley

Research Interests

Geometric dynamical systems, mathematical biology, population dynamics, neuroendocrinology and hormone oscillations, hypothalamus-pituitary interactions

State of the Planet

Are you concerned about the state of the planet?

You can help!

Modeling the LH surge in the human menstrual cycle.
Viewed simply, the menstrual cycle is an attracting cycle of the feedback dynamics between hormones produced by the hypothalamus/pituitary and hormones produced by maturing follicles in the ovaries

Lotka-Volterra Systems

Geometric analysis of Lotka-Volterra models of species competition in n-dimensions.

Selected Papers

The linked papers on this list can be downloaded in ps or pdf format. I would be happy to send you reprints/preprints of any of the papers if you write to me.

M. L. Zeeman:
Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems
Dynamics Stability Systems 8 (1993) 189-217

F. Montes de Oca, M. L. Zeeman:
Balancing survival and extinction in nonautonomous competitive Lotka-Volterra systems
J. Math. Anal. Appl. 192 (1995) 360-370
PDF | J. Math. Anal. Appl.

J. Pace, M. L. Zeeman:
A bridge between the Bendixson-Dulac criterion in R² and Liapunov functions in Rⁿ
Canadian Applied Mathematics Quarterly 6 (1998) 189--193.

P. van den Driessche, M. L. Zeeman:
Three-dimensional competitive Lotka-Volterra systems with no periodic orbits
SIAM J. Appl. Math. 58 (1998) 227-234

E. C. Zeeman, M. L. Zeeman:
From local to global behavior in competitive Lotka-Volterra systems
Trans. Amer. Math. Soc. 355 (2003) 713-734

M. L. Zeeman, W. Weckesser, D. Gokhman:
Resonance in the menstrual cycle: a new model of the LH surge
Reproductive Biomedicine Online 7 (2003) 295-300

J. Tien, D. Lyles, M. L. Zeeman:
A potential role of modulating inosotol 1,4,5-triphosphate receptor desensitization and recovery rates in regulating ovulation
Journal of Theoretical Biology 232 (2005) 105-117

P. van den Driessche, M. L. Zeeman:
Disease induced oscillations between two competing species
SIAM Journal on Applied Dynamical Systems (2005)

Art DeG