W. Michael Lai
Professor of Mechanical Engineering and Orthopaedic Bioengineering
Chairman, Department of Mechanical Engineering, School of Engineering
and Applied Science, Columbia University
email: wml1@columbia.edu
Ph.D. 1962, University of Michigan
M. S. 1959, University of Michigan
B. S. 1952, National Taiwan University
W. Michael Lai joined the Department of Mechanical Engineering in 1987
as Professor of Mechanical Engineering and Orthopaedic Bioengineering -
a joint appointment between the Department of Mechanical Engineering, School
of Engineering and Applied Science and the Department of Orthopaedic Surgery,
College of Physcians and Surgeons. His research interest is in the area
of Orthopaedic Biomechanics. He is active in the Bioengineering Division
of the American Soceity of Mechanical Engineers (ASME). He served as Chairman
of the Bioengineering Division in 1996/97 and an associate editor of the
Journal of Biomechanical Engineering, ASME from 1990 to 1996. Among the
awards that he has received include two best paper awards for his research
in Biomechanics - the ASME Melville Medal in 1982 and the Bioengineering
Division Best Paper Award in 1991. He is a Fellow of ASME and a Founding
Fellow of the American Institutie of Medical and Biological Engineering
(AIMBE). He has received two teaching awards, including the Distinguished Faculty Teaching Award
from the Columbia Engineering School Alumni Association in 2000.
PUBLICATIONS
Books
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Elements of Mechanics of Elastic Solids, W.M. Lai and E. Saibel,
Addison Wesley, Reading, Massachusetts, 1965
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Introduction to Continuum Mechanics, W.M. Lai, D. Rubin and E. Krempl,
Pergamon Press, First Edition, 1972; Second Edition 1978.
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Introduction to Continuum Mechanics, W.M. Lai, D. Rubin and E. Krempl,
Pergamon/Elsevier Science Publisher, Third Edition 1994.
Selected Papers and Book Chapters (1991-2000)
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A Triphasic Theory for the Swelling and Deformation Behaviors of Articular
cartilage, W.M. Lai, J.S. Hou, V.C. Mow, Journal of Biomechanical Engineering.
Vol 113, 3, 198-207, 1991.
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The Density and Strength of Proteoglycan-Proteoglycan Interaction sites
In Concentrated Solutions. W. Zhu, W.M. Lai and V.C. Mow, Journal of Biomechanics.
Vol 24, 11, 1007-1018, 1991.
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A Contact Problem Modelling the Squeeze Film Mode of Synovial Joint Lubrication,
V.C. Mow, J.S. Hou, W.M.Lai and M. H. Holmes, Journal of Engineering Mechanics,
ASCE, 1991.
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Constitutive Theory for the Mechano-Electrochemical Properties of Articular
cartilage, W.M. Lai, W. Gu, L. Setton and V.C. Mow, 1991 Biomechanics symposium,
AMD-Vol. 120, Eds. R.L.Spilker and M. H. Friedman, 233-238, 1991.
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Biphasic FEM of Frictional Creep Indentation of Articular Cartilage, K.A.
Athanasiou, R.L. Spilker, W. M. Lai and V.C. Mow, Biomech Symp ASME, AMD
120: 153-156, 1991.
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An Analysis of the Squeeze Film Lubrication Mechanism For Articular Cartilage.
J.S. Hou, V.C. Mow, W.M. Lai and M.H. Holmes, Journal of Biomechanics.
Vol 25, 3, 247-260, 1992.
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Analysis of Fluid and Ion Transport Through a Porous Charged-Hydrated Biological
Tissue During a Permeation Experiment, W.Y. Gu, W.M.Lai and V.C.Mow, Proc.
Symp comp Mech Porous Material, ed by N.J. Salamon and R.M. Sullivan, AMD-Vol
136, ASME, 29-42, 1992.
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Transport of fluid and ions through a porous permeable charged-hydrated
tissue, and streaming potential data on normal bovine articular cartilage,
W.Y.Gu, W.M.Lai and V.C.Mow, Journal of Biomechanics. Vol. 26, 6, 1993.
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Factors Influencing Interstitial Flow in Articular Cartilage, W.M.Lai,
W.Y.Gu and V.C.Mow, Proc. Bioengineering Conference, BED-Vol.24, 395-398,
1993.
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Constitutive Modeling of Articular Cartilage and Biomacromolecular Solutions.
W.M.Lai, V.C. Mow and W. Zhu. Journal of Biomechanical Engineering. Vol.
115, No. 4(B), 451-622, 1993.
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Theoretical Basis for Measurements of Cartilage Fixed-Charge Density Using
Streaming Current and Electro-Osmosis Effects, W.Y. Gu, W.M.Lai and V.C.
Mow, Advances in Bioengineering, Ed. J.M. Tarbell, VED-Vol. 26, 55-58,
1993.
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An Asymptotic Solution for Two contacting Biphasic Cartilage Layers, G.A.Ateshian,
W.M.Lai, W.B. Zhu and V.C.Mow, Journal of Biomechanics, 27:1347-1360, 1994.
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Flows of Electrolytes Through Charged Hydrated Biological Tissue. W.M.Lai,
W. Gu and V.C.Mow. Applied Mechanics Review, Vol 47, 2, 277-281, 1994.
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Mechanism for Regulation of Articular Cartilage Hydration in a Canine Model
of Osteoarthritis. Trans Orthop Res Soc,19, 493, 1994.
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On Negative Osmosis in Cartilage: A Theoretical Analysis, W.Y. Gu, W. M.
Lai, V.C. Mow, Proc Int Conf Biomed Engng, 1994.
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A Generalized Triphasic Theory for Multi-Electrolyte Transport in Charged
Hydrated Soft tissues, W. Gu, W.M.Lai and V.C. Mow, Advances in Bioengineering,
BED Vol.28, ed by M.J. Askew, New York, ASME, 217-218, 1994.
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Quantification of the "Curling" Behavior of Articular Cartilage. H. Tohyama,
L.A. Setton, F. Guilak, W. M. Lai, V.C. Mow, Proc 2nd World Cong Biomech,
Amsterdam, The Netherlands, ed by L Blankevoort, JGM Kooloos, II, 217,
1994.
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The Evolution of Constitutive Modeling of Articular Cartilage: A Paradigm
in the Study of Charged-hydrated-soft Tissues. V.C. Mow, W.M.Lai, Proc
2nd World Cong Biomech, Amsterdam, The Netherlands, ed by L Blankevoort,
JGM Kooloos,I,1, 1994.
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Experimental Measurement of the in Vitro Curling Behavior of Articular
Cartilage, L.A. Setton, H. Tohyama, W.M. Lai, F. Guilak and V.C. Mow, Advances
in Bioengineering, BED Vol.28, ed by M.J. Askew, New York, ASME, 135-136,
1994.
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Effects of mechanical stress and deformation on passive ion transport through
hydrated permeable tissues, W.Y. Gu, W.M. Lai, V.C. Mow, Annuals of Biomedical
Engineering, 23/S.1, S-104, 1995.
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Predictions of the swelling induced pre-stress in articular cartilage.
L.A. Setton, W.Y. Gu, W.M. Lai, V.C. Mow, In Mechanics of Poroelastic
Media, ed. APS Selvadurai, Kluwer Academic Publishers, 299-322, 1995.
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Changes in Proteoglycan Synthesis Rates of Chondrocytes in Articular Cartilage
are Associated with the Time Dependent Changes in their Mechanical Environment,
N.M. Bachrach, W.B. Valhmu WB, E. Stazzone, A. Ratcliffe, W.M. Lai and
V.C. Mow , Journal of Biomechanics, 28:12, 1561-1569, 1995.
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An Analytical Model for Membrane Stretch and Chondrocyte Volume Change
During Tissue Compression: A Biphasic Inclusion Model, N.M. Bachrach, G.S.
Chorney, W.M. Lai, V.C. Mow, Advances in Bioengineering, BED-Vol 31, ASME,
1995.
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Ion-induced Swelling Behavior of Articular Cartilage in Tension. H. Tohyama,
W.Y. Gu, L.A. Setton, W.M. Lai, V.C. Mow, Trans Orthop Res Soc., 20, 702,
1995.
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Effects of Na-Ca Exchange on Cartilage Swelling and Fluid Transport, W.Y.Gu,
W. M. Lai, V.C. Mow, BED-Vol 29, 29-30, ASME, 1995.
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Measurement of Streaming Potential of Bovine Articular and Nasal Cartilage
in 1-D Permeation Experiments, W.Y. Gu, J. Rabin, W.M.Lai, V.C.Mow,
Advances in Bioengineering, BED-Vol 31, ASME, 1995.
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A Technique for Measuring Volume and True Density of the Solid Matrix of
Cartilaginous Tissues. W.Y. Gu, B. Lewis, W. M. Lai, V.C. Mow, Advances
in Bioengineering, BED-Vol. 33, 89-90, ASME, 1996.
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Effect of Disc Degeneration on Streaming Potential of Human Annulus Fibrosus,
W.Y.Gu, J. Rabin, B.A. Rawlins, V.C. Mow, Advances in Bioengineering, Advances
in Bioengineering, BED-Vol. 33, 251-252, ASME, 1996
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A Triphasic Analysis of Negative Osmotic Flow Through Charged-Hydrated
Soft Tissues. W. Y.Gu, W.M. Lai, V.C. Mow, Journal of Biomechanics, 30:71-78,
1997.
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Nonlinear Mechano-electrochemical Theory for Transport Phenomenoa in Soft
Hydrated Tissues. W. M. Lai, W.Y. Gu, V.C. Mow, Proc. Int. Conf.
New Frontiers in Biomedical Eng., JSME Centennial Grand Congress, Eds.
K. Tanishita, M. Sato, p33-36, 1997.
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The Role of Interstitial Fluid Pressurization and Surface Porosities on
the Boundary Friction of Articular Cartilage. G.A. Ateshian, H. Wang, W.M.
Lai, J. Tribology, 120:241-251, 1998.
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A Mixture Theory for Charged Hydrated Soft Tissues Containing Multi-electrolytes:
Passive Transport and Swelling Behaviors, W.Y. Gu, W. M. Lai, V.C. Mow,
Journal of Biomechanical Engineering, 120: 169-180, 1998.
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Multi-phasic Mixture Theory for Charged Soft Hydrated Tissues. Proc.
13th US National Congress of Applied Mechanics, June, 1998.
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Effects of Fixed Charges on the Stress-relaxation Behavior of Hydrated
Soft Tissues in a Confined Compression Experiment, V.C. Mow, G.A. Ateshian,
W.M.Lai, W.Y. Gu, Int. J. Solids and Structures, 35:4945-4962, 1998
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A Transversely-Isotropic Biphasic Model for Unconfined Compression of Growth
Plate and Chondroepiphysis, B. Cohen, W.M. Lai and V.C. Mow, Journal
of Biomechanical Eng., J Biomech Engng 120:491-496, 1998.
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On the Equivalence of Chemical Load and Mechanical Load on Articular Cartilage,
W.M. Lai, W.Y. Gu, V.C. Mow, Journal of Biomechanics, 12:1181-1185, 1998.
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A mixture theory for charged hydrated soft tissues containing
multi-electrolytes: passive transport and swelling behaviors, W.Y.Gu, W.M.Lai, V.C.Mow, J Biomech
Engng, 120:169-180, 1998
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Effects of fixed charges on the stress-relaxation behavior of hydrated soft tissues in a confined
compression problem. V.C.Mow, G.A. Ateshian, W.M.Lai, W.Y.Gu, Int J Solids and Structures, 35:4945-4962,
1998.
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The role of interstitial fluid pressurization and surface
porosities on the boundary friction of articular cartilage, G.A.Ateshian, H. Wang, W.M.Lai, Journal
of Tribology, ASME, 120:241-251, 1998.
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Transport of multi-electrolytes in charged hydrated biological soft
tissues, W.Y.Gu, W.M.Lai, V.C.Mow, J Trans Porous Med, 34:143-157, 1999.
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A mixed finite element formulation of triphasic
mechano-electrochemical theory for charged, hydrated biological soft tissues, D.N.Sun, W.Y.Gu,
X.E.Guo, W.M.Lai, V.C.Mow, In J Num Meth Engng,
45:1375-1402, 1999.
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On the electrical potentials inside a charged soft
hydrated biological tissues: Streaming potential vs. diffusion potential, W.M.Lai, V.C.Mow,
D.D.Sun, G.A.Ateshian, J Biomech Engng,
122:336-346,2000.
- Effects of inhomogeneous fixed charged density on the
electrical signals for chondrocytes in cartilage, W.M.Lai, D.D.Sun, G.A.Ateshian, V.C.Mow,
ASME-AMD-BED Symp on Mechanics in Biology, eds. J Casey, G Bao, AMD242/BED46:201-213, 2000.