Mary Ballyk

 

Associate Professor

Department of Mathematical Sciences

New Mexico State University

Las Cruces, NM 88003-8001

 

Contact Information

 

E-mail: mballyk@nmsu.edu

Office: Science Hall 224

Phone: (575) 646-6270

Fax: (575) 646-1064

 

Mathematical Biology Program Information

 

The Mathematical Biology Program at NMSU was established in 2009 through a grant from the National Science Foundation. The goal of the program is to enhance undergraduate education and training at the intersection of mathematics and biology by providing students with long-term, cohort-based research experiences that combine biological experimentation with mathematical modeling.

For further information, please visit our website at www.mathbio.nmsu.edu.

 

Awards

 

1. Recipient of the 2008 Donald C. Roush Award for Excellence in Teaching

2. Nominated for the 2006-2007 Patricia Christmore Teaching award

3. One if five finalists for the 2005-2006 Patricia Christmore Teaching award

4. The 8th Bellman Prize for the best paper published in Mathematical Biosciences for the two-year period 1998-1999, with Dr. Hal Smith of Arizona State University.

 

Publications

 

1. M. Ballyk, G.S.K. Wolkowicz, “Classical and resource-based competition: A unifying graphical approach.” To appear in Journal of Mathematical Biology.

 

2. M. Ballyk, E. Barany, “Stabilization of chemostats using feedback linearization and reduction of dimension.” Proceedings of the 2009 American Control Conference, June 10-12, 2009, 2313-2318.

 

3. M. Ballyk, E. Barany, “The role of resource type in the control of chemostats using feedback linearization,” Ecological Modeling 211: 25-35 (2008)

 

4. M. Ballyk, D. Jones, H. Smith, “The Biofilm Model of Freter: a review,” to appear January 2008 as a chapter in Structured Population Models in Biology and Epidemiology, a volume in the Lecture Notes in Mathematics (Mathematical Biosciences Subseries). P. Magal, S. Ruan (eds.) Springer-Verlag.

 

5. H. Noussi, M. Ballyk, E. Barany, “Stabilization of chemostats using feedback linearization.” To appear in the Proceedings of the 46th IEEE Conference on Decision and Control, December 10-11, 2007.

 

6. M. Ballyk, E. Barany, “The role of resource types in the control of chemostats using feedback linearization,” Proceedings of the 26th American Control Conference, July 11-13, 2007.

 

7. M. Golinski, E. Barany, M. Ballyk, “Ecological conditions that favor the evolution of intermediate virulence in an environmentally transmitted parasite,” Journal of Mathematical Biology 51: 389-402 (2005)

 

8. M. Ballyk, C.C. McCluskey, G.S.K. Wolkowicz, “Global analysis of competition for perfectly substitutable resources with linear response,” Journal of Mathematical Biology 51: 458-490 (2005)

 

9. M.M. Ballyk, D.A. Jones, H.L. Smith, “Microbial competition in reactors with wall attachment: A mathematical comparison of chemostat and plug flow models,” Microbial Ecology 41: 210-221 (2001)

 

10. M.M. Ballyk, H.L. Smith, “A model of microbial growth in a plug flow reactor with wall attachment,” Mathematical Biosciences 158:95-126 (1999).

 

11. M.M. Ballyk, H.L. Smith, “A flow reactor with wall growth,” in Mathematical Models in Medical and Health Science, ed. M. Horn, G. Simonett, G. Webb, Vanderbilt University Press, Nashville (1998).

 

12. M.M. Ballyk, D. Le, D.A. Jones, H.L. Smith, “Effects of random motility on microbial growth and competition in a flow reactor,” SIAM Journal on Applied Mathematics 59:573-596 (1998).

 

13. G.S.K. Wolkowicz, M.M. Ballyk, Zhiqi Lu, “Microbial dynamics in a chemostat: Competition, growth, implications of enrichment,” in Differential Equations and Control Theory, Lecture Notes in Pure and Applied Mathematics Vol. 176, Z. Deng, Z. Liang, G. Lu, and S. Ruan eds., Marcel Dekker, New York, 389-406 (1996).

 

14. M.M. Ballyk, G.S.K. Wolkowicz, “An examination of the thresholds of enrichment: A resource-based growth model,” Journal of Mathematical Biology 33:435-457 (1995).

 

15. G.S.K. Wolkowicz, M.M. Ballyk, S.P. Daoussis, “Interaction in a chemostat: Introduction of a competitor can promote greater diversity,” Rocky Mountain Journal of Mathematics 25:515-543 (1995).

 

16. M.M. Ballyk, G.S.K. Wolkowicz, “Exploitative competition in the chemostat for two perfectly substitutable resources,” Mathematical Biosciences 118:127-180 (1993)

 

 

Conferences and Colloquium Talks

 

1. R.I Ruiz-Cooley, M. Ballyk, B. Milligan, “Are Sperm Whales Keystone Predators?”  Presented by R.I. Ruiz-Cooley at the 18th Biennial Conference on the Biology of Marine Animals - Quebec City, Canada12-16 October 2009.

 

2. M. Ballyk, E. Barany, “Stabilization of chemostats using feedback linearization and reduction of dimension.” Presented by E. Barany at the 2009 American Control Conference, St. Louis, MO,  June 10-12, 2009.

 

3. M. Ballyk, E. Barany, “Stabilization of chemostats using feedback linearization and reduction of dimension.” Presented by M. Ballyk at the SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May 17-21, 2009.

 

4. M. Ballyk, S. Galayda, B. Milligan, “Teaching dynamical systems at the high school level.” A poster presented by M. Ballyk at the SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May 17-21, 2009.

 

5. M. Ballyk, G.S.K. Wolkowicz, “Classical and resource-based competition: A unifying graphical approach.” Invited speakers to Mathematical Tools for Multi-scale Biological Models, Montana State University, Bozeman, MT, June 406-6, 2008.

 

6. M.Ballyk, E. Barany, “The role of resource types in the control of chemostats using feedback linearization,” Special session of the AMS Western Sectional Meeting, University of Arizona, Tucson, AZ, April 21-22, 2007.

 

7. M. Ballyk, J. Cook, P. Mallapragada, M. Mitchell, I. Pivkina, S. Schibel, “Analysis and Application of Performance Prediction Tools.” Poster submitted as part of the “High End Computing along the Rio Grande” high-performance computing consortium display at SC|06 (Supercomputing), November 11-17, 2006.

 

8. M.M. Ballyk, “Enrichment thresholds for growth and predation,” International Workshop on Differential Equations and Mathematical Biology, Le Havre, France, July 11-13, 2005.

 

9. M.M. Ballyk, G.S.K. Wolkowicz, “Enrichment thresholds for growth and predation,” Special session of the AMS Central Sectional Meeting, Texas Tech University, Lubbock , TX, April 8-10, 2005.

 

10. M.M. Ballyk, W. Boecklen, “UBM: A training program for research on the interface of Mathematics and Biology at New Mexico State University,” Special session of the MAA Southwestern Section Conference, University of Texas at El Paso, April 1-3, 2005.

 

11. M.M. Ballyk, C. Connell McCluskey, G.S.K. Wolkowicz,  “Competition in the chemostat for two perfectly substitutable resources,” International Conference on Nonlinear Dynamics and Evolution Equations, Memorial University of Newfoundland, Canada, July 6-10, 2004.

 

12. M.M. Ballyk, G.S.K. Wolkowicz, “Microbial growth and interaction under nutrient limitation,” Colloquium at McMaster University Department of Mathematics and Statistics, March 19, 2004.

 

13. M.M. Ballyk, G.S.K. Wolkowicz, “Enrichment Thresholds for Growth and Predation,” Fourth Geoffrey J. Butler Memorial Conference in Differential Equations and Mathematical Biology, Edmonton, Alberta, Canada, June 2003.