375
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Quasi-linear viscoelastic properties of costal cartilage using atomic force microscopy

&
Pages 475-486 | Received 08 Nov 2009, Accepted 03 Dec 2010, Published online: 14 Jun 2011

References

  • A-Hassan , E , Heinz , WF , Antonik , MD , D'Costa , NP , Nageswaran , S , Schoenenberger , C-A and Hoh , JH . 1998 . Relative microelastic mapping of living cells by atomic force microscopy . Biophys J , 74 : 1564 – 1578 .
  • Aspden , RM , Larsson , T , Svensson , R and Heinegard , D . 1991 . Computer-controlled mechanical testing machine for small samples of biological viscoelastic materials . J Biomed Eng , 13 ( 6 ) : 521 – 525 .
  • Athanasiou , KA , Agarwal , A and Dzida , FJ . 1994 . Comparative-study of the intrinsic mechanical-properties of the human acetabular and femoral-head cartilage . J Orthop Res , 12 ( 3 ) : 340 – 349 .
  • Athanasiou , KA , Rosenwasser , MP , Buckwalter , JA , Malinin , TI and Mow , VC . 1991 . Interspecies comparisons of insitu intrinsic mechanical-properties of distal femoral cartilage . J Orthop Res , 9 ( 3 ) : 330 – 340 .
  • Bueckle , H . 1971 . In: Westbrook JH and Conrad H, editors. The science of hardness testing and its research applications. ch. 33. OH , 453 – 491 . American Society of Metals, Metals Park. p. .
  • Butt , H-J and Jaschke , M . 1995 . Calculations of thermal noise in atomic force microscopy . Nanotechnology , 6 : 1 – 7 .
  • Costa , KD , Sim , AJ and Yin , FCP . 2006 . Non-Hertzian approach to analyzing mechanical properties of endothelial cells probed by atomic force microscopy . J Biomech Eng Trans ASME , 128 ( 2 ) : 176 – 184 .
  • Costa , KD and Yin , FCP . 1999 . Analysis of indentation: implications for measuring mechanical properties with atomic force microscopy . J Biomech Eng , 121 : 462 – 471 .
  • Crockett , R , Roos , S , Rossbach , P , Dora , C , Born , W and Troxler , H . 2005 . Imaging of the surface of human and bovine articular cartilage with ESEM and AFM . Tribol Lett , 19 ( 4 ) : 311 – 317 .
  • D'Acunto , M , Ciardelli , G , Narducci , P , Rechichi , A and Giusti , P . 2005 . Phospholipid-polyurethane adhesion force observed by atomic force microscopy . Mater Lett , 59 ( 13 ) : 1627 – 1633 .
  • Darling , EM , Zauscher , S , Block , JA and Guilak , F . 2007 . A thin-layer model for viscoelastic, stress-relaxation testing of cells using atomic force microscopy: do cell properties reflect metastatic potential? . Biophys J , 92 ( 5 ) : 1784 – 1791 .
  • Darling , EM , Zauscher , S and Guilak , F . 2006 . Viscoelastic properties of zonal articular chondrocytes measured by atomic force microscopy . Osteoarthritis Cart , 14 ( 6 ) : 571 – 579 .
  • Dimitriadis , EK , Horkay , F , Maresca , J , Kachar , B and Chadwick , RS . 2002 . Determination of elastic moduli of thin layers of soft material using the atomic force microscope . Biophys J , 82 : 2798 – 2810 .
  • Fung , YC . 1972 . “ Stress strain history relations of soft tissues in simple elongation ” . In Biomechanics: its foundation and objectives , Edited by: Fung , YC . 181 – 207 . NJ: Prentice Hall Inc .
  • Fung , YC . 1993 . Biomechanics: mechanical properties of living tissues , Germany: Springer-Verlag .
  • Galin , LA , Moss , H and Sneddon , IN . 1961 . Contact problems in the theory of elasticity , Department of Mathematics, School of Physical Sciences and Applied Mathematics, North Carolina State College
  • Guo , BY , Liao , DH , Li , XY , Zeng , YJ and Yang , QH . 2007 . Age and gender related changes in biomechanical properties of healthy human costal cartilage . Clin Biomech , 22 ( 3 ) : 292 – 297 .
  • Haga , H , Nagayama , M , Kawabata , K , Ito , E , Ushiki , T and Sambongilee , T . 2000 . Time-lapse viscoelastic imaging of living fibroblasts using force modulation mode in AFM . J Electron Microsc , 49 : 473 – 481 .
  • Hasegawa , T and Yamano , Y . 1992 . Arthroplasty of the proximal interphalangeal joint using costal cartilage grafts . J Hand Surg Br Eur , 17B ( 5 ) : 583 – 585 .
  • Hayes , WC , Keer , LM , Herrmann , G and Mockros , LF . 1972 . A mathematical analysis for indentation tests on articular cartilage . J Biomech , 5 : 541 – 551 .
  • Herberhold , C , Faber , S , Stammberger , T , Steinlechner , M , Putz , R , Englmeier , KH , Reiser , M and Eckstein , F . 1999 . In situ measurement of articular cartilage deformation in intact femoropatellar joints under static loading . J Biomech , 32 ( 12 ) : 1287 – 1295 .
  • Hertz , H . 1882 . On contact of elastic solids . J Reine Angewandte Maths , 92 : 156 – 171 .
  • Hori , RY and Mockros , LF . 1976 . Indentation tests of human articular-cartilage . J Biomech , 9 ( 4 ) : 259 – 268 .
  • Hu , K , Radhakrishnan , P , Patel , RV and Mao , JJ . 2001 . Regional structural and viscoelastic properties of fibrocartilage upon dynamic nanoindentation of the articular condyle . J Struct Biol , 136 ( 1 ) : 46 – 52 .
  • Hutter , JL and Bechhoefer , J . 1993 . Calibration of atomic-force microscope tips . Rev Sci Instrum , 64 : 1868
  • Isogai , N , Kusuhara , H , Ikada , Y , Ohtani , H , Jacquet , R , Hillyer , J , Lowder , E and Landis , WJ . 2006 . Comparison of different chondrocytes for use in tissue engineering of cartilage model structures . Tissue Eng , 12 : 691 – 703 .
  • Johnson , KL . 1985 . Contact mechanics , 1st ed. , Cambridge (England): Cambridge University Press .
  • Johnson , KL , Kendall , K and Roberts , AD . 1971 . Surface energy and contact of elastic solids . Proc R Soc Lond A , 324 ( 1558 ) : 301 – 313 .
  • Kamata , S , Usui , N , Ishikawa , S , Kitayama , Y , Sawai , T , Okuyama , H , Fukui , Y and Okada , A . 1997 . Experience in tracheobronchial reconstruction with a costal cartilage graft for congenital tracheal stenosis . J Pediat Surg , 32 : 54 – 57 .
  • Kampen , W , Claassen , H and Kirsch , T . 1995 . Mineralization and osteogenesis in the human first rib cartilage . Ann Anat Anatomischer Anzeiger , 177 : 171 – 177 .
  • Kempson , GE , Freeman , MAR and Swanson , SAV . 1971 . Determination of a creep modulus for articular cartilage from indentation tests on human femoral head . J Biomech , 4 ( 4 ) : 239 – 250 .
  • Korhonen , RK , Laasanen , MS , Töyräs , J , Rieppo , J , Hirvonen , J , Helminen , HJ and Jurvelin , JS . 2002 . Comparison of the equilibrium response of articular cartilage in unconfined compression, confined compression and indentation . J Biomech , 35 ( 7 ) : 903 – 909 .
  • Lai , WM , Hou , JS and Mow , VC . 1991 . A triphasic theory for the swelling and deformation behaviors of articular-cartilage . J Biomech Eng Trans ASME , 113 ( 3 ) : 245 – 258 .
  • Lau , A , Oyen , ML , Kent , RW , Murakami , D and Torigaki , T . 2008 . Indentation stiffness of aging human costal cartilage . Acta Biomater , 4 : 97 – 103 .
  • Lee , J , Lee , E , Kim , H and Son , Y . 2007 . Comparison of articular cartilage with costal cartilage in initial cell yields, degree of dedifferentiation during expansion, and their redifferentiation capacity . Biotech Appl Biochem , 48 : 149 – 158 .
  • Lee , A and Lichtenhan , JD . 1998 . Viscoelastic responses of polyhedral oligosilsesquioxane reinforced epoxy systems . Macromolecules , 31 ( 15 ) : 4970 – 4974 .
  • Levy , R and Maaloum , M . 2002 . Measuring the spring constant of atomic force microscope cantilevers: thermal fluctuations and other methods . Nanotechnology , 13 : 33 – 37 .
  • Lin , DC , Dimitriadis , EK and Horkay , F . 2007 . Robust strategies for automated AFM force curve analysis – I. Non-adhesive indentation of soft, inhomogeneous materials . J Biomech Eng-Trans ASME , 129 : 430 – 440 .
  • Lopez , MA , Shah , AR , Westine , JG , O'Grady , K and Toriumi , DM . 2007 . Analysis of the physical properties of costal cartilage in a porcine model . Facial Plast Surg , 9 : 35 – 39 .
  • Lyyra , T , Jurvelin , J , Pitkanen , P , Vaatainen , U and Kiviranta , I . 1995 . Indentation instrument for the measurement of cartilage stiffness under arthroscopic control . Med Eng Phys , 17 ( 5 ) : 395 – 399 .
  • Maivald , P , Butt , HJ , Gould , SAC , Prater , CB , Drake , B , Guriey , JA , Eiings , VB and Hansma , PK . 1991 . Using force modulation to image surface elasticities with the i atomic force microscope . Nanotechnology , 2 : 103 – 106 .
  • Mak , AF . 1986 . Unconfined compression of hydrated viscoelastic tissues – a biphasic poroviscoelastic analysis . Biorheology , 23 ( 4 ) : 371 – 383 .
  • Mak , AF , Lai , WM and Mow , VC . 1987 . Biphasic indentation of articular cartilage-i. Theoretical analysis . J Biomech , 20 : 703 – 714 .
  • Mathur , AB , Collinsworth , AM , Reichert , WM , Kraus , WE and Truskey , GA . 2001 . Endothelial, cardiac muscle and skeletal muscle exhibit different viscous and elastic properties as determined by atomic force microscopy . J Biomech , 34 : 1545 – 1553 .
  • Mattice , JM , Lau , AG , Oyen , ML and Kent , RW . 2006 . Spherical indentation load-relaxation of soft biological tissues . J Mater Res , 21 : 2003 – 2010 .
  • Mccormick , WF . 1980 . Mineralization of the costal cartilages as an indicator of age – preliminary-observations . J Forensic Sci , 25 : 736 – 741 .
  • Mori , R , Kataoka , H , Kuriwaka , M and Ochi , M . 2003 . Articular cartilage restoration with costal cartilage previously fused with bone . Clin Orthopaed Related Res , 406 ( 406 ) : 262 – 274 .
  • Nitta , T , Endo , Y , Haga , H and Kawabata , K . 2003 . Microdomain structure of agar gels observed by mechanical-scanning probe microscopy . J Electron Microsc , 52 ( 3 ) : 277 – 281 .
  • Okajima , T , Tanaka , M , Tsukiyama , S , Kadowaki , T , Yamamoto , S , Shimomura , M and Tokumot , H . 2007 . Stress relaxation measurement of fibroblast cells with atomic force microscopy . Jpn J Appl Phys Part 1 Regular Papers Brief Comm Rev Pap , 46 ( 8B ) : 5552 – 5555 .
  • Oliver , WC and Pharr , GM . 1992 . An improved technique for determining hardness and elastic-modulus using load and displacement sensing indentation experiments . J Mater Res , 7 ( 6 ) : 1564 – 1583 .
  • Oyen , ML . 2005 . Spherical indentation creep following ramp loading . J Mater Res , 20 ( 8 ) : 2094 – 2100 .
  • Park , S , Costa , KD and Ateshian , GA . 2004 . Microscale frictional response of bovine articular cartilage from atomic force microscopy . J Biomech , 37 ( 11 ) : 1679 – 1687 .
  • Radmacher , M , Tillmann , RW and Gaub , HE . 1993 . Imaging viscoelasticity by force modulation with the atomic force microscope . Biophys J , 64 : 735 – 742 .
  • Rejtarova , O , Slizova , D , Smoranc , P , Rejtar , P and Bukac , J . 2004 . Costal cartilages – a clue for determination of sex . Biomed Pap Med Fac Univ Palacký Olomouc Czech , 2 : 241 – 243 .
  • Rotsch , C , Jacobson , K and Radmacher , M . 1999 . Dismentional and mechanical dynamics of active and stable edges in motile fibroblasts investigated by using atomic force microscope . Proc Natl Acad Sci , 96 : 921 – 926 .
  • Roy , R , Kohles , SS , Zaporojan , V , Peretti , GM , Randolph , MA , Xu , JW and Bonassar , LJ . 2004 . Analysis of bending behavior of native and engineered auricular and costal cartilage . J Biomed Mater Res A , 68A ( 4 ) : 597 – 602 .
  • Shirazi , R and Shirazi-Adl , A . 2005 . Analysis of articular cartilage as a composite using nonlinear membrane elements for collagen fibrils . Med Eng Phys , 27 ( 10 ) : 827 – 835 .
  • Stark , RW , Drobek , T and Heckl , WM . 2001 . Thermalmechanical noise of a free v-shaped cantilever for atomic force microscopy . Ultramicroscopy , 86 : 207 – 215 .
  • Stolz , M , Raiteri , R , Daniels , AU , VanLandingham , MR and Baschong , W . 2004 . Dyanamic elastic modulus of porcine articular cartilage determinataion at two different levels of tissue organization by indentation-type atomic force microscopy . Biophys J , 86 : 3269 – 3283 .
  • Tajima , S , Aoyagi , F and Maruyama , Y . 1978 . Free perichondrial grafting in treatment of temporomandibular-joint ankylosis - preliminary-report . Plastic Reconstruct Surg , 61 : 876 – 880 .
  • Tripathy , S and Berger , EJ . 2009 . Measuring viscoelasticity of soft samples using atomic force microscopy . J Biomech Eng , 131 : 094507
  • Tripathy , S , Berger , EJ and Vemaganti , K . 2007 . “ AFM indentation and material property identification of soft hydrogels ” . In ASME International Design Engineering Technical Conferences. ASME 659 – 677 .
  • Uricanu , VI , Duits , MHG , Nelissen , RMF , Bennink , ML and Mellema , J . 2003 . Local structure and elasticity of soft gelatin gels studied with atomic force microscopy . Langmuir , 19 ( 20 ) : 8182 – 8194 .
  • Vanlandingham , MR , McKnight , SH , Palmese , GR , Eduljee , RF , Gillespie , JW and McCulough , RL . 1997 . Relating elastic modulus to indentation response using atomic force microscopy . J Mater Sci Lett , 16 ( 2 ) : 117 – 119 .
  • Wilson , W , van Donkelaar , CC , van Rietbergen , R and Huiskes , R . 2005 . The role of computational models in the search for the mechanical behavior and damage mechanisms of articular cartilage . Med Eng Phys , 27 ( 10 ) : 810 – 826 .
  • Wong , M , Ponticiello , M , Kovanen , V and Jurvelin , JS . 2000 . Volumetric changes of articular cartilage during stress relaxation in unconfined compression . J Biomech , 33 ( 9 ) : 1049 – 1054 .
  • Yin , FCP , Chew , PH and Zeger , SL . 1986 . An approach to quantification of biaxial tissue stress-strain data . J Biomech , 19 ( 1 ) : 27 – 37 .
  • Zhang , CY and Zhang , YW . 2007 . Effects of membrane pre-stress and intrinsic viscoelasticity on nanoindentation of cells using AFM . Philos Mag , 87 ( 23 ) : 3415 – 3435 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.