Dynamic elastic modulus of porcine articular cartilage determined at two different levels of tissue organization by indentation-type atomic force microscopy.

Cartilage stiffness was measured ex vivo at the micrometer and nanometer scales to explore structure-mechanical property relationships at smaller scales than has been done previously. A method was developed to measure the dynamic elastic modulus, |E(*)|, in compression by indentation-type atomic force microscopy (IT AFM). Spherical indenter tips (radius = approximately 2.5 microm) and sharp pyramidal tips (radius = approximately 20 nm) were employed to probe micrometer-scale and nanometer-scale response, respectively. |E(*)| values were obtained at 3 Hz from 1024 unloading response curves recorded at a given location on subsurface cartilage from porcine femoral condyles. With the microsphere tips, the average modulus was approximately 2.6 MPa, in agreement with available millimeter-scale data, whereas with the sharp pyramidal tips, it was typically 100-fold lower. In contrast to cartilage, measurements made on agarose gels, a much more molecularly amorphous biomaterial, resulted in the same average modulus for both indentation tips. From results of AFM imaging of cartilage, the micrometer-scale spherical tips resolved no fine structure except some chondrocytes, whereas the nanometer-scale pyramidal tips resolved individual collagen fibers and their 67-nm axial repeat distance. These results suggest that the spherical AFM tip is large enough to measure the aggregate dynamic elastic modulus of cartilage, whereas the sharp AFM tip depicts the elastic properties of its fine structure. Additional measurements of cartilage stiffness following enzyme action revealed that elastase digestion of the collagen moiety lowered the modulus at the micrometer scale. In contrast, digestion of the proteoglycans moiety by cathepsin D had little effect on |E(*)| at the micrometer scale, but yielded a clear stiffening at the nanometer scale. Thus, cartilage compressive stiffness is different at the nanometer scale compared to the overall structural stiffness measured at the micrometer and larger scales because of the fine nanometer-scale structure, and enzyme-induced structural changes can affect this scale-dependent stiffness differently.

[1]  G. Pharr,et al.  Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. , 1997, Biomaterials.

[2]  Hertz On the Contact of Elastic Solids , 1882 .

[3]  L. Adams,et al.  The Stiffness of Human Apophyseal Articular Cartilage as an Indicator of Joint Loading , 1994 .

[4]  Howard Kuhn,et al.  Mechanical testing and evaluation , 2000 .

[5]  U. Aebi,et al.  Nanotechnology in Medicine: Moving from the Bench to the Bedside , 2002 .

[6]  H Tkaczuk,et al.  A cartilage elastometer for use in the living subject. , 1982, Journal of medical engineering & technology.

[7]  G. Palmese,et al.  Characterization of Interphase Regions Using Atomic Force Microscopy , 1996 .

[8]  R Svensson,et al.  Computer-controlled mechanical testing machine for small samples of biological viscoelastic materials. , 1991, Journal of biomedical engineering.

[9]  Human Cartilage Stiffness , 2006 .

[10]  V. Mow,et al.  Composition and dynamics of articular cartilage: structure, function, and maintaining healthy state. , 1998, The Journal of orthopaedic and sports physical therapy.

[11]  V. Mow,et al.  Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. , 1980, Journal of biomechanical engineering.

[12]  I. N. Sneddon The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile , 1965 .

[13]  D L Vawter Poisson's ratio and incompressibility. , 1983, Journal of biomechanical engineering.

[14]  C. Frediani,et al.  Force-distance curves by AFM , 1997, IEEE Engineering in Medicine and Biology Magazine.

[15]  George M. Pharr,et al.  Instrumented Indentation Testing , 2000 .

[16]  Albrecht L. Weisenhorn,et al.  Deformation observed on soft surfaces studied with an AFM , 1993, Photonics West - Lasers and Applications in Science and Engineering.

[17]  I Kiviranta,et al.  Indentation instrument for the measurement of cartilage stiffness under arthroscopic control. , 1995, Medical engineering & physics.

[18]  B. Kooi,et al.  INTERFACIAL ENGINEERING FOR OPTIMIZED PROPERTIES II , 2000 .

[19]  G. Pharr,et al.  An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments , 1992 .

[20]  George M. Pharr,et al.  Measurement of Thin Film Mechanical Properties Using Nanoindentation , 1992 .

[21]  A. Engel,et al.  Surface and subsurface morphology of bovine humeral articular cartilage as assessed by atomic force and transmission electron microscopy. , 1996, Journal of structural biology.

[22]  Butt,et al.  Measuring adhesion, attraction, and repulsion between surfaces in liquids with an atomic-force microscope. , 1992, Physical review. B, Condensed matter.

[23]  U. Aebi,et al.  Development of an Arthroscopic Atomic Force Microscope , 2003 .

[24]  F. C. Linn,et al.  Lubrication of animal joints. I. The arthrotripsometer. , 1967, The Journal of bone and joint surgery. American volume.

[25]  M. Walch,et al.  Effect of streptolysin O on the microelasticity of human platelets analyzed by atomic force microscopy. , 2000, Ultramicroscopy.

[26]  C Rotsch,et al.  Drug-induced changes of cytoskeletal structure and mechanics in fibroblasts: an atomic force microscopy study. , 2000, Biophysical journal.

[27]  P. Zysset,et al.  Nanoindentation discriminates the elastic properties of individual human bone lamellae under dry and physiological conditions. , 2002, Bone.

[28]  P. Hansma,et al.  A nondestructive method for determining the spring constant of cantilevers for scanning force microscopy , 1993 .

[29]  George M. Pharr,et al.  On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation , 1992 .

[30]  J. Hoh,et al.  Surface morphology and mechanical properties of MDCK monolayers by atomic force microscopy , 1996 .

[31]  G. Pharr,et al.  The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques. , 1999, Journal of biomechanics.

[32]  Sandor Kasas,et al.  Deformation and height anomaly of soft surfaces studied with an AFM , 1993 .

[33]  S. Lowen The Biophysical Journal , 1960, Nature.

[34]  Hugh D. Luke Signalubertragung: Grundlagen Der Digitalen Und Analogen Nachrichtenubertragungssysteme , 1995 .

[35]  B B Seedhom,et al.  A technique for measuring the compressive modulus of articular cartilage under physiological loading rates with preliminary results , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[36]  W M Lai,et al.  A triphasic theory for the swelling and deformation behaviors of articular cartilage. , 1991, Journal of biomechanical engineering.

[37]  C. Rotsch,et al.  Dimensional and mechanical dynamics of active and stable edges in motile fibroblasts investigated by using atomic force microscopy. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[38]  G. Semenza,et al.  Measuring elasticity of biological materials by atomic force microscopy , 1998, FEBS letters.

[39]  M. Grattarola,et al.  Preliminary results on the electrostatic double-layer force between two surfaces with high surface potentials , 1998 .

[40]  V. Mow,et al.  Biphasic indentation of articular cartilage--I. Theoretical analysis. , 1987, Journal of biomechanics.

[41]  J. Soro,et al.  Combining scanning force microscopy with nanoindentation for more complete characterisation of bulk and coated materials , 1998 .

[42]  Laurence A. Heinrich,et al.  Micromechanical Properties of “Smart” Gels: Studies by Scanning Force and Scanning Electron Microscopy of PNIPAAm , 2002 .

[43]  H. Hertz Ueber die Berührung fester elastischer Körper. , 1882 .

[44]  A Wasilewski,et al.  [Topographic differences in the value of the 2 sec Elastic Modul in the cartilage tissue of the knee joint]. , 1986, Beitrage zur Orthopadie und Traumatologie.

[45]  L. Mockros,et al.  Indentation tests of human articular cartilage. , 1976, Journal of biomechanics.

[46]  F. C. Linn Lubrication of Animal Joints , 1969 .

[47]  G E Kempson,et al.  The short-term compressive properties of adult human articular cartilage. , 1994, Bio-medical materials and engineering.

[48]  J. H. Westbrook,et al.  The Science of hardness testing and its research applications : based on papers presented at a symposium of the American Society for Metals, October 18 to 20, 1971 , 1973 .

[49]  Sverre Myhra,et al.  Determination of the spring constants of probes for force microscopy/spectroscopy , 1996 .

[50]  S. Okuma,et al.  A method for determining the spring constant of cantilevers for atomic force microscopy , 1996 .

[51]  G. Palmese,et al.  Relating elastic modulus to indentation response using atomic force microscopy , 1997 .

[52]  M Radmacher,et al.  Measuring the elastic properties of biological samples with the AFM. , 1997, IEEE engineering in medicine and biology magazine : the quarterly magazine of the Engineering in Medicine & Biology Society.

[53]  M. Freeman,et al.  The determination of a creep modulus for articular cartilage from indentation tests of the human femoral head. , 1971, Journal of biomechanics.

[54]  J. Gillespie,et al.  Characterization of nanoscale property variations in polymer composite systems: 1 , 1999 .

[55]  G. Murrell,et al.  The accuracy and reliability of a novel handheld dynamic indentation probe for analysing articular cartilage. , 2001, Physics in medicine and biology.

[56]  H. Tkaczuk Human cartilage stiffness. In vivo studies. , 1986, Clinical orthopaedics and related research.

[57]  W F Heinz,et al.  Relative microelastic mapping of living cells by atomic force microscopy. , 1998, Biophysical journal.

[58]  A. Maroudas,et al.  Balance between swelling pressure and collagen tension in normal and degenerate cartilage , 1976, Nature.

[59]  M. Radmacher,et al.  Imaging soft samples with the atomic force microscope: gelatin in water and propanol. , 1995, Biophysical journal.

[60]  M. Freeman,et al.  Correlations between stiffness and the chemical constituents of cartilage on the human femoral head. , 1970, Biochimica et Biophysica Acta.

[61]  Ernst Meyer,et al.  Scanning Probe Microscopy of Thin Films , 1993 .