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/