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Mathematical Sciences
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Amos Eaton Building
Department of Mathematical Sciences Faculty:

Kristin Bennett
Mohamed Boudjelkha
Margaret Cheney
Donald Drew
Joseph Ecker
Joseph E. Flaherty
Isom Herron
Mark Holmes
David Isaacson
Ashwani Kapila
Maya Kiehl
Gregor Kovacic
Peter Kramer
Fengyan Li
Chjan Lim
Yuri Lvov
Harry McLaughlin
Joyce McLaughlin
John Mitchell
Clifford Nolan
Bruce Piper
Victor Roytburd
Lester Rubenfeld
David Schmidt
Donald Schwendeman
William Siegmann
Michael Zuker

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Mathematical Sciences Faculty
Mark Holmes

Professor of Mathematical Sciences

Education:

Ph.D., University of California, Los Angeles

Career Highlights:

Guggenheim Fellow
Y.C. Fung Young Investigator Award (ASME)
2000: Premier Award for Excellence in Engineering Education Courseware
2001: ASME Curriculum Innovation Award
2002: Award for Innovative Excellence in Teaching, Learning and Technology
2002: Best Paper Award, 13th International Conference on College Teaching and Learning
2007: ICTCM Award for Excellence and Innovation with the Use of Technology in Collegiate Mathematics
2007: Rensselaer Trustee's Outstanding Teacher Award

Research Areas:

Development and analysis of mathematical models for physiological systems, including modeling the biological tissues found in joints (such as the knee).

Selected Publications:

“Nonlinear ionic diffusion through charged polymetric gels,” SIAM J Applied Math 50, 839-852 (1990).

“The symbolic generation of chemical kinetic equations,” J Computational Chem 12, 1223-1231 (1991) with J. Bell.

“Model of the dynamics of receptor potential in a mechanoreceptor,” J Biosci 110, 139-174 (1992) with J. Bell.

“The structure and function of Pacinian corpuscles: a review,” Prog Neurobiology 42, 79-128 (1994) with J. Bell and S.J. Bolanowski.

“Indentation of a thin compressible elastic layer: approximate analytic and numerical solutions for rigid flat indenters,” J Mech Phys Solids 43, 1199-1219 (1995) with M.A. Haider.

Introduction to Perturbation Methods, Springer-Verlag, New York, 1995.

Mixture Theories for the Mechanics of Biological Tissues, RPI Web Book, 1995.

Three Dimensional Viscoelasticity in Finite Strain: Formulation of a Rate-Type Constitutive Law Consistent with Dissipation, to appear in Mathematical Methods in Material Science, Springer-Verlag, 1996 (with M.A. Haider).

Introduction to Numerical Methods for Differential Equations, Springer-Verlag, New York, 2006.

Contact Information:

Mark Holmes
(518) 276-6891

More Info:

http://www.rpi.edu/~holmes/

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