Current Research Interests:

• Applied mathematics with applications in biomechanics and bioengineering - Areas of expertise include: PDEs, boundary value and interface problems, boundary integral equations, elasticity, viscoelasticity, poroelasticity, continuum mixture models, contact problems, soft tissue mechanics, cell-matrix interactions, articular cartilage, osteoarthritis, tissue engineering
• Scientific computing - Areas of expertise include boundary element methods, finite element methods, artificial neural networks

Teaching (Fall 2008):

• MA401: Applied Differential Equations II
• MA534: Introduction to Partial Differential Equations

Special Topics Course (Spring 2009):

• MA591Z: Introduction to Continuum Mechanics of Elastic & Viscoelastic Solids

Office Hours (Fall 2008):

• Tuesdays 10-11 & Wednesdays 1:30-2:30, or by appointment

Honors, Awards & Appointments:

• Editorial Board, Journal of Biomechanics (2007-)
• Co-PI, NCSU RTG Program: Mathematics of Materials (2007-)
• NCSU Academy of Outstanding Teachers (2005-)
• NCSU Outstanding Teacher Award (2004-05)
• ASME Richard Skalak Award: Best paper in the Journal of Biomechanical Engineering (2004)
• NSF Mathematical Sciences Postdoctoral Research Fellowship (1997-2000)

Current Graduate Students:

• Janine Haugh (PhD)
• Eunjung Kim (PhD)

Links:

• RTG Group on Orthopaedic Biomaterials
• Entry on Mathematics Genealogy Project
• NCSU Mathematics Graduate Program
• Center for Research in Scientific Computation
• NCSU Biomathematics Graduate Program
• NCSU Numerical Analysis Seminar
• NCSU Differential Equations Seminar

Recent Publications: (complete publication list)

1. [in review] SD Olson and MA Haider, A level set reaction-diffusion model for tissue regeneration in a cartilage-hydrogel aggregate, submitted
2. [to appear] E Kim, F Guilak and MA Haider, The dynamic mechanical environment of the chondrocyte: A biphasic finite element model of cell-matrix interactions under cyclic compressive loading, Journal of Biomechanical Engineering.
3. [to appear] D Valdez-Jasso, MA Haider, HT Banks, D Bia, Y Zocalo, R Armentano and MS Olufsen, Analysis of viscoelastic wall properties in ovine arteries, IEEE Transactions on Biomedical Engineering
4. [2008] FW Mauldin, MA Haider, EG Loboa, RH Behler, LE Euliss, TW Pfeiler and CM Gallippi, Monitored steady-state excitation and recovery (MSSER) radiation force imaging using viscoelastic models, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Controls, Vol. 55, pp. 1597-1610.
5. [2007] MA Haider and F Guilak, Application of a three-dimensional poroelastic BEM to modeling the biphasic mechanics of cell-matrix interactions in articular cartilage, Computer Methods in Applied Mechanics and Engineering, Vol. 196, pp. 2999-3010.
6. [2007] FW Mauldin, OB Davis, MA Haider, EG Loboa, TW Pfeiler and CM Gallippi, On the potential of combined ARFI and elastography to improve differentiation of material structure in viscoelastic tissue, 2007 IEEE Ultrasonics Symposium Proceedings, Vol 1-6, pp. 2040-2045, New York, NY, Oct. 28-31, 2007.
7. [2006] HA Leddy, MA Haider and F Guilak, Diffusional anisotropy in collagenous tissues: fluorescence imaging of continuous point photobleaching, Biophysical Journal, Vol. 91, pp. 311-316.
8. [2006] F Guilak, MA Haider, LA Setton, TA Laursen and FPT Baaijens, Multiphasic models of cell mechanics, in Cytoskeletal Mechanics: Models and Measurements (MRK Mofrad and R Kamm, Eds.), pp. 84-102, Cambridge University Press, New York.
9. [2006] F Guilak, LG Alexopoulos, ML Upton, I Youn, JB Choi, LA Setton and MA Haider, The pericellular matrix as a transducer of biomechanical and biochemical signals in cartilage, Annals of the New York Academy of Sciences, 1068: 498-512.
10. [2006] MA Haider, RC Schugart, LA Setton and F Guilak, A mechano-chemical model for the passive swelling response of an isolated chondron under osmotic loading, Biomechanics and Modeling in Mechanobiology, Vol. 5, pp. 160-171.
11. [2006] MA Haider and RC Schugart, A numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage, Journal of Biomechanics, Vol. 39, No. 1, pp. 177-183.
12. [2005] F Guilak, LG Alexopoulos, MA Haider, HP Ting-Beall and LA Setton, Zonal uniformity in mechanical properties of the chondrocyte pericellular matrix: micropipette aspiration of canine chondrons isolated by cartilage homogenization, Annals of Biomedical Engineering, Vol. 33, No. 10, pp. 1312-1318.
13. [2004] MA Haider, A radial biphasic model for local cell-matrix mechanics in articular cartilage, SIAM Journal on Applied Mathematics, Vol. 64, pp. 1588-1608.
14. [2004] MA Haider, KJ Mehta and JP Fouque, Time-reversal simulations for detection in randomly layered media, Waves in Random Media, Vol. 14, pp. 185-198.
15. [2003] LG Alexopoulos, MA Haider, TP Vail and F Guilak, Alterations in the mechanical properties of the human chondrocyte pericellular matrix with osteoarthritis, Journal of Biomechanical Engineering, Vol. 125, pp. 323-333.

Last Modified: 11/9/08