Mathematics
NC STATE UNIVERSITY

Mansoor Haider
Professor of Mathematics
Director of Graduate Programs

Contact Information
Room 3280, SAS Hall
(919) 515-3100
(919) 515-3798 (fax)
m_haider at ncsu dot edu
Mailing Address
Department of Mathematics
Box 8205
North Carolina State University
Raleigh, NC 27695-8205
Education
Ph.D., 1996, Applied Mathematics, Rensselaer Polytechnic Institute, Troy, NY
B.Math, 1991, Applied Mathematics/Computer Science, University of Waterloo, Canada

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 computational mechanics, boundary element methods, finite element methods, artificial neural networks

Honors, Awards & Appointments

  • Gertrude M. Cox Award for Excellence in Teaching & Learning with Technology (2013)
  • Editorial Board, Journal of Biomechanics (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

  • Christina Battista (PhD)
  • Ahlam Elashegh (PhD)
  • Micaela Mendlow (PhD)
  • Tianheng Wang (PhD)

Teaching (Fall 2014): MA450 - Methods of Applied Mathematics I

Office Hours (Fall 2014): Tuesdays 10:30-11:30 & Thursdays 11:30-12:30

Links

Journal Papers & Book Chapters

  1. [to appear] A Aristotelous and MA Haider, Evaluation of diffusive transport and cellular uptake of nutrients in tissue engineered constructs using a hybrid discrete mathematical model, Processes.
  2. [2014] A Aristotelous and MA Haider, Use of hybrid discrete cellular models for identification of macroscopic nutrient loss in reaction-diffusion models of tissues, International Journal for Numerical Methods in Biomedical Engineering, epub ahead of print. DOI: 10.1002/cnm.2628
  3. [2011] Z Hu and MA Haider, Algebraic multigrid preconditioning for finite element solution of inhomogeneous elastic inclusion problems in articular cartilage, Advances in Applied Mathematics and Mechanics, Vol. 3, pp. 729-744.
  4. [2011] BN Steele, D Valdez-Jasso, MA Haider and MS Olufsen, Predicting arterial flow and pressure dynamics using a 1D fluid dynamics model with a viscoelastic wall, SIAM Journal of Applied Mathematics, Vol. 71, pp. 1123-1143.
  5. [2011] D Valdez-Jasso, D Bia, Y Zocalo, RL Armentano, MA Haider and MS Olufsen, Linear and nonlinear viscoelastic modeling of aorta and carotid pressure-area dynamics under in vivo and ex vivo conditions, Annals of Biomedical Engineering, Vol. 39, pp. 1438-1456.
  6. [2011] MA Haider, JE Olander, RF Arnold, DR Marous, AJ McLamb, KC Thompson, WR Woodruff and JM Haugh, A phenomenological mixture model for biosynthesis and linking of cartilage extracellular matrix in scaffolds seeded with chondrocytes, Biomechanics and Modeling in Mechanobiology, Vol. 10, pp. 915-924, DOI: 10.1007/s10237-010-0282-y.
  7. [2010] M Stuebner and MA Haider, A fast quadrature-based numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage, Journal of Biomechanics, Vol. 43, pp. 1835-1839
    DOI:10.1016/j.jbiomech.2010.02.023.
  8. [2010] 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, Vol. 132:031011, 13 pages
    DOI: 10.1115/1.4000938.
  9. [2010] MA Haider, BA Benedict, E Kim and F Guilak, Computational modeling of cell mechanics in articular cartilage, in Computational Modeling in Biomechanics (S De, F Guilak and MRK Mofrad, Eds.), Springer, New York, pp. 329-352
    DOI: 10.1007/978-90-481-3575-2_11.
  10. [2010] 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 Part A, Vol. 16, pp. 11-20
    DOI:10.1089/ten.tea.2009.0134.
  11. [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.
  12. [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.
  13. [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.
  14. [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.
  15. [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.
  16. [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.
  17. [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.
  18. [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.
  19. [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.
  20. [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.
  21. [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.
  22. [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.
  23. [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.
  24. [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.
  25. [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.
  26. [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.
  27. [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.
  28. [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.
  29. [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.
  30. [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.
  31. [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
  32. [1997] MA Haider and MH Holmes, "Three dimensional viscoelasticity in finite strain: Formulation of a rate-type constitutive law consistent with dissipation," IMA Volumes in Mathematics and its Applications, Vol. 98, pp. 67-88.
  33. [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.
  34. [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.
  35. [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.
  36. [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.
  37. [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.

Peer-reviewed Conference Proceedings

  1. [2010] D Valdez-Jasso, D Bia, MA Haider, Y Zocalo, RL Armentano and MS Olufsen, Linear and nonlinear viscoelastic modeling of ovine aortic biomechanical properties under in vivo and ex vivo conditions, Proceedings of the 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 4 pages
  2. [2010] E Kim, F Guilak and MA Haider, Determination of in situ articular cartilage pericellular matrix properties via inverse BEM analysis of chondron deformation, Proceedings of the ASME 2010 Summer Bioengineering Conference, abstract 19308, Naples, FL, June 16-19, 2010, 2 pages
  3. [2009] 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 ASME 2009 Summer Bioengineering Conference, abstract 205640, Lake Tahoe, CA, June 17-21, 2009, 2 pages.
  4. [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.
  5. [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 1st International Workshop on Computer Vision for Intravascular and Intracardiac Imaging (G Unal, I Kakadiaris, G Slabaugh and A Tannebaum, Eds.), pp. 58-65.
  6. [2006] MA Haider and F Guilak, A three-dimensional poroelastic boundary element method applied to modeling biphasic cell-matrix interactions in articular cartilage, Proceedings of the ASME 2006 Summer Bioengineering Conference, June 21-25, 2006, Amelia Island, FL, 2 pages.
  7. [2005] MA Haider, RC Schugart, LA Setton and F Guilak, A mechano-chemical model for osmotic loading of an isolated chondron, Proceedings of the ASME 2005 Summer Bioengineering Conference, abstract 168184, Vail, CO, June 22-26, 2 pages.
  8. [2005] 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 ASME 2005 Summer Bioengineering Conference, abstract 173514, Vail, CO, June 22-26, 2005, 2 pages.
  9. [2003] 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.
  10. [2003] 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.
  11. [2002] 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
  12. [2002] 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 Orthopaedic Research Society, 27:405.
  13. [2001] LG Alexopoulos, MA Haider and F Guilak, An axisymmetric elastic layered half-space model for micropipette aspiration of the chondrocyte pericellular matrix, BED-Advances in Bioengineering - Proceedings of the Bioengineering Conference, Vol. 51, ASME, 2 pages.
  14. [1999] MA Haider and F Guilak, A viscoelastic boundary element model of contact in the micropipette aspiration test, BED-Advances in Bioengineering - Proceedings of the Bioengineering Conference, ASME, 42:339-340 (1999)
  15. [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.
  16. [1994] 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.
  17. [1994] 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.