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

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)
• Daniela Valdez-Jasso (PhD, co-adviser)

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

Publications:

Journal Papers & Book Chapters

1. [to appear] E Kim, F Guilak and MA Haider, An axisymmetric boundary element model for determination of articular cartilage pericellular matrix properties in situ via inverse analysis of chondron deformation, Journal of Biomechanical Engineering.
2. [to appear] MA Haider, BA Benedict, E Kim and F Guilak, Computational modeling of cell mechanics in articular cartilage, in Computational Modeling in Biomechanics, Springer, New York, 25 pages, in press.
3. [2009] DL Nettles, MA Haider, A Chilkoti and LA Setton, Neural network analysis identifies scaffold properties necessary for in vitro chondrogenesis in elastin-like polypeptide biopolymer scaffolds, Tissue Engineering, epub ahead of print, PMID: 19754250.
4. [2009] D Valdez-Jasso, HT Banks, MA Haider, D Bia, Y Zocalo, RL Armentano and MS Olufsen, Viscoelastic models for passive arterial wall dynamics, Advances in Applied Mathematics and Mechanics, Vol. 1, pp. 151-165.
5. [2009] D Valdez-Jasso, MA Haider, HT Banks, DB Santana, YZ German, R Armentano and MS Olufsen, Analysis of viscoelastic wall properties in ovine arteries, IEEE Transactions on Biomedical Engineering, Vol. 56, pp. 210-219.
6. [2009] SD Olson and MA Haider, A level set reaction-diffusion model for tissue regeneration in a cartilage-hydrogel aggregate, International Journal of Pure and Applied Mathematics, Vol. 53, pp. 333-353.
7. [2008] 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. Vol. 130:061009, 10 pages.
8. [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.
9. [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.
10. [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.
11. [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.
12. [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.
13. [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, pp160-171.
14. [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.
15. [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.
16. [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.
17. [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.
18. [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.
19. [2002] MA Haider and F Guilak, An axisymmetric boundary integral model for assessing elastic cell properties in the micropipette aspiration test, Journal of Biomechanical Engineering, Vol. 124, pp. 586-595.
20. [2002] MA Haider, SP Shipman and S Venakides, Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances, SIAM Journal on Applied Mathematics, Vol. 62, No. 6, pp. 2129-2148.
21. [2000] S Venakides, MA Haider and V Papanicolaou, “Wave propagation in photonic crystal media,” in Scattering Theory and Biomedical Engineering Modelling and Applications, (eds. C. Dassios et al.), WorldScientific, New Jersey, pp. 120-134.
22. [2000] S Venakides, MA Haider and V Papanicalaou, Boundary integral calculations of 2-d electromagnetic scattering by photonic crystal Fabry-Perot structures, SIAM Journal on Applied Mathematics, Vol. 60, No. 5, pp.1686-1706.
23. [2000] MA Haider and F Guilak, An axisymmetric boundary integral model for incompressible linear viscoelasticity: Application to the micropipette aspiration contact problem, Journal of Biomechanical Engineering, Vol. 122, pp. 236-244.
24. [1999] MM Beaky, JB Burk, HO Everitt, MA Haider and S Venakides, Two dimensional photonic crystal Fabry-Perot resonators with lossy dielectrics, IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 11, pp. 2085-2091
25. [1997] MA Haider and MH Holmes, "Three dimensional viscoelasticity in finite strain: Formulation of a rate-type constitutive law consistent with dissipation," in Particulate Flows: Processing and Rheology (Eds. D.A.Drew, D.D. Joseph and S.L. Passman), Springer-Verlag, New York, pp. 67-88
26. [1997] MA Haider and MH Holmes. "Analytic approximations to the deformation of a thin compressible elastic layer by a rigid indenter," in Applied Mathematics: Methods and Applications (ed. G. Oyibo), Nova Science, pp. 257-288.
27. [1997] MA Haider and MH Holmes, A mathematical approximation for the solution of a static indentation test, Journal of Biomechanics, Vol. 30, pp. 747-752.
28. [1996] MA Haider, Analytic Appoximations for the Indentation of a Thin Linear Elastic Layer and a Viscoelastic Formulation in Finite Strain with Applications to the Mechanics of Biological Soft Tissues, PhD Thesis, Rensselaer Polytechnic Institute, Troy, NY.
29. [1996] MA Haider and MH Holmes, Analytic approximations to the deformation of a thin compressible elastic layer by a rigid flat indenter, Nova Journal of Mathematics, Game Theory and Algebra, Vol. 5, pp. 1-32.
30. [1995] MA Haider and MH Holmes, Indentation of a thin compressible elastic layer: Approximate analytic and numerical solutions for rigid flat indenters, Journal of the Mechanics and Physics of Solids, Vol. 8, pp. 1199-1219.

Proceedings Papers

1. [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, 28-31 Oct. 2007, pp. 2040-2045, New York, NY, IEEE.
2. [2006] JH Levy, R Behler, MA Haider, JS Marron and CM Gallippi, Discrimination of mechanical response to ARFI excitation in a raised atherosclerotic plaque, The 1^st International Workshop on Computer Vision for Intravascular and Intracardiac Imaging (G Unal, I Kakadiaris, G Slabaugh and A Tannebaum, Eds.), pp. 58-65.
3. [1998] MA Haider and F Guilak, Boundary element analysis of contact problems in cartilage cell mechanics, in "Modeling and Simulation Based Engineering" (Eds. S.N. Alturi and P.E. O'Donoghue), Proceedings of the International Conference on Computational Engineering Science, Atlanta, GA, Oct. 1998, II:1769-1774, Tech Science Press.

Biomedical Abstracts (under 2 pages)

1. D Valdez-Jasso, MA Haider, SL Campbell, D Bia, Y Zocalo, RL Armentano and MS Olufsen, Modeling viscoelastic properties of ovine arteries, Proceedings of the 2009 Summer Bioengineering Conference, abstract 205640, Lake Tahoe, CA, June 17-21, 2009, 2 pages.
2. MA Haider and F Guilak, A three-dimensional poroelastic boundary element method applied to modeling biphasic cell-matrix interactions in articular cartilage, 2006 Summer Bioengineering Conference, June 21-25, 2006, Amelia Island, FL.
3. DL Nettles, MA Haider, A Chilkoti and LA Setton, Self-organizing maps for analysis of metabolic activity of elasitn-like polypeptide encapsulated chondrocytes, 2006 Regenerative World Congress on Tissue Engineering and Regenerative Medicine, April 25-27, 2006, Pittsburgh, PA.
4. DL Nettles, MA Haider, A Chilkoti, and LA Setton, Neural network modeling of relationships between molecular features of chemically crosslinked elastin-like polypeptides and metabolism of encapsulated chondrocytes.”  6th Symposium of the International Cartilage Repair Society, January 8-11, 2006, San Diego, CA (2006)
5. MA Haider, RC Schugart, LA Setton and F Guilak, A mechano-chemical model for osmotic loading of an isolated chondron, Proceedings of the 2005 Summer Bioengineering Conference, abstract 168184, Vail, CO, June 22-26, 2005 (2005)
6. MA Haider, DL Nettles, K Trabbic-Carlson, A Chilkoti and LA Setton, Predictive modeling of polypeptide hydrogel mechanical properties for cartilage repair using artifical neural networks, Proceedings of the 2005 Summer Bioengineering Conference, abstract 173514, Vail, CO, June 22-26, 2005 (2005)
7. MA Haider, S Beun, J Latulippe and F Guilak, A spherical biphasic model for radial deformation in a chondron, Proceedings of the Bioengineering Conference, ASME, pp. 569-570 (2003)
8. LG Alexopoulos, MA Haider, TP Vail and F Guilak, Alterations in the mechanical properties of the human chondrocyte pericellular matrix with osteoarthritis, Transactions of the Orthopaedic Research Society, 28:107 (2003)
9. LG Alexopoulos, M Haider and F Guilak, The mechanical role of the chondrocyte pericellular matrix in articular cartilage: Micropipette aspiration of mechanically isolated chondrons, Proceedings of the 3rd European Symposium in Biomedical Engineering and Medical Physics, pp. 7-8 (2002)
10. F Guilak, L Alexopoulos, R Nielsen, H Ting-Beall, and M Haider, The biomechanical properties of the chondrocyte pericellular matrix: Micropipette aspiration of mechanically isolated chondrons, Transactions of the 48th Annual Meeting of the Orthopaedic Research Society, Dallas, TX (2002)
11. LG Alexopoulos, MA Haider and F Guilak, An axisymmetric elastic layered half-space model for micropipette aspiration of the chondrocyte pericellular matrix, BED-Vol. 51, 2001 Advances in Bioengineering, ASME (2001)
12. MA Haider and F Guilak, A viscoelastic boundary element model of contact in the micropipette aspiration test, Proceedings of the Bioengineering Conference, ASME, 42:339-340 (1999)
13. F Guilak, MA Haider, H Ting-Beall, AE Baer, JY Wang and LA Setton, Multiphasic modeling of cell-matrix interactions in the Intervertebral disc, Proceedings of the Biot Conference on Poromechanics, 14-16 September 1998, Louvain-la-Neuve, Belgium (1998)
14. MH Holmes and MA Haider, The role of matrix viscoelasticity and fluid flow in the compressive behavior of cartilage, , Proceedings of the Second World Congress of Biomechanics, II: 29, Stichting. (1994)
15. MA Haider and MH Holmes, An approximation to the steady-state deformation of articular cartilage under indentation, Proceedings of the Second World Congress of Biomechanics, II: 214, Stichting. (1994)