메뉴 건너뛰기




Volumn 15, Issue 3, 2010, Pages 657-664

Fractional-order elastic models of cartilage: A multi-scale approach

Author keywords

43.80.Cs; 45.10.Hj; 46.35.+z; 87.61. c; Hysteresis; Mathematical models; Mechanical stress; Medical systems; Stress; Tissues

Indexed keywords

BIOMECHANICS; CALCULATIONS; COLLAGEN; DIAGNOSIS; DYNAMICS; ELASTIC MODULI; HISTOLOGY; HYSTERESIS; MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING; NANOTECHNOLOGY; SHEAR STRAIN; STRESSES;

EID: 70349916045     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.05.008     Document Type: Article
Times cited : (45)

References (33)
  • 2
    • 24144442898 scopus 로고    scopus 로고
    • Microscopic magnetic resonance elastography (microMRE)
    • Othman S.F., Xu H., Royston T.J., and Magin R.L. Microscopic magnetic resonance elastography (microMRE). Magn Reson Med 54 (2005) 605-614
    • (2005) Magn Reson Med , vol.54 , pp. 605-614
    • Othman, S.F.1    Xu, H.2    Royston, T.J.3    Magin, R.L.4
  • 4
    • 31344477609 scopus 로고    scopus 로고
    • Magnetic resonance microscopy for monitoring osteogenesis of tissue-engineered constructs in vitro
    • Xu H., Othman S.F., Liu H., Peptan I.A., and Magin R.L. Magnetic resonance microscopy for monitoring osteogenesis of tissue-engineered constructs in vitro. Phys Med Biol 51 (2006) 719-732
    • (2006) Phys Med Biol , vol.51 , pp. 719-732
    • Xu, H.1    Othman, S.F.2    Liu, H.3    Peptan, I.A.4    Magin, R.L.5
  • 5
    • 85196141259 scopus 로고    scopus 로고
    • Measurement of tissue engineered adipogenic constructs using magnetic resonance elastography
    • Marion N., Othman S.F., Stosich M.S., Magin R.L., and Mao J.J. Measurement of tissue engineered adipogenic constructs using magnetic resonance elastography. Abstr Annu Meet BMES (2006)
    • (2006) Abstr Annu Meet BMES
    • Marion, N.1    Othman, S.F.2    Stosich, M.S.3    Magin, R.L.4    Mao, J.J.5
  • 11
    • 0003424989 scopus 로고
    • The matrix
    • M.A.R. Freeman Ed, Pitman Medical, Kent;
    • Meachim G, Stockwell RA, The matrix, in: M.A.R. Freeman (Ed.), Adult articular cartilage, Pitman Medical, Kent; 1979. p. 1-50.
    • (1979) Adult articular cartilage , pp. 1-50
    • Meachim, G.1    Stockwell, R.A.2
  • 12
    • 0036083985 scopus 로고    scopus 로고
    • Articular cartilage repair: basic science and clinical progress, a review of the current status and prospects
    • Hunziker E.B. Articular cartilage repair: basic science and clinical progress, a review of the current status and prospects. Osteoarthr Cartil 10 (2002) 432-463
    • (2002) Osteoarthr Cartil , vol.10 , pp. 432-463
    • Hunziker, E.B.1
  • 14
    • 0018528207 scopus 로고
    • Enhancement of healing in osteochondral defects by collagen sponge implants
    • Speer D.P., Chvapil M., Volz R.G., and Holmes M.D. Enhancement of healing in osteochondral defects by collagen sponge implants. Clin Orthop Relat Res 144 (1979) 326-335
    • (1979) Clin Orthop Relat Res , vol.144 , pp. 326-335
    • Speer, D.P.1    Chvapil, M.2    Volz, R.G.3    Holmes, M.D.4
  • 16
    • 0033983594 scopus 로고    scopus 로고
    • Review: tissue engineering for regeneration of articular cartilage
    • Temenoff J.S., and Mikos A.G. Review: tissue engineering for regeneration of articular cartilage. Biomaterials 21 (2000) 431-440
    • (2000) Biomaterials , vol.21 , pp. 431-440
    • Temenoff, J.S.1    Mikos, A.G.2
  • 17
    • 18744389158 scopus 로고    scopus 로고
    • Stem-cell-driven regeneration of synovial joints
    • Mao J.J. Stem-cell-driven regeneration of synovial joints. Biol Cell 97 (2005) 289-301
    • (2005) Biol Cell , vol.97 , pp. 289-301
    • Mao, J.J.1
  • 18
    • 0034003435 scopus 로고    scopus 로고
    • Tissue engineering designs for the future: new logics, old molecules
    • Caplan A.I. Tissue engineering designs for the future: new logics, old molecules. Tissue Eng 6 (2000) 1-8
    • (2000) Tissue Eng , vol.6 , pp. 1-8
    • Caplan, A.I.1
  • 19
    • 2942536383 scopus 로고    scopus 로고
    • Engineering structurally organized cartilage and bone tissues
    • Sharma B., and Elisseeff J.H. Engineering structurally organized cartilage and bone tissues. Ann Biomed Eng 32 (2004) 148-159
    • (2004) Ann Biomed Eng , vol.32 , pp. 148-159
    • Sharma, B.1    Elisseeff, J.H.2
  • 20
    • 0029654138 scopus 로고
    • Magnetic resonance elastography by direct visualization of propagating acoustic strain waves
    • Muthupillai R., Lomas D.J., Rossman P.J., Greenleaf J.F., Manduca A., and Ehman R.L. Magnetic resonance elastography by direct visualization of propagating acoustic strain waves. Science 269 (1995) 1854-1857
    • (1995) Science , vol.269 , pp. 1854-1857
    • Muthupillai, R.1    Lomas, D.J.2    Rossman, P.J.3    Greenleaf, J.F.4    Manduca, A.5    Ehman, R.L.6
  • 21
    • 0035146230 scopus 로고    scopus 로고
    • Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation
    • Oliphant T.E., Manduca A., Ehman R.L., and Greenleaf J.F. Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation. Magn Reson Med 45 (2001) 299-310
    • (2001) Magn Reson Med , vol.45 , pp. 299-310
    • Oliphant, T.E.1    Manduca, A.2    Ehman, R.L.3    Greenleaf, J.F.4
  • 23
    • 33645976163 scopus 로고    scopus 로고
    • Affine versus non-affine fibril kinematics in collagen networks: theoretical studies of network behaviour
    • Chandran P.L., and Barocas V.H. Affine versus non-affine fibril kinematics in collagen networks: theoretical studies of network behaviour. ASME J Biomech Eng 128 (2006) 259-270
    • (2006) ASME J Biomech Eng , vol.128 , pp. 259-270
    • Chandran, P.L.1    Barocas, V.H.2
  • 24
    • 3042776917 scopus 로고    scopus 로고
    • Fractional calculus in bioengineering
    • Magin R.L. Fractional calculus in bioengineering. Crit Rev Biomed Eng 32 1-4 (2004) 1-377
    • (2004) Crit Rev Biomed Eng , vol.32 , Issue.1-4 , pp. 1-377
    • Magin, R.L.1
  • 25
    • 36849035742 scopus 로고    scopus 로고
    • MR elastography of breast lesions: understanding the solid/liquid duality can improve the specificity of contrast-enhanced MR mammography
    • Sinkus R.K., Siegmann T., Xydeas M., Tanter C., Claussen C., and Fink M. MR elastography of breast lesions: understanding the solid/liquid duality can improve the specificity of contrast-enhanced MR mammography. Magn Reson Med 58 (2007) 1135-1144
    • (2007) Magn Reson Med , vol.58 , pp. 1135-1144
    • Sinkus, R.K.1    Siegmann, T.2    Xydeas, M.3    Tanter, C.4    Claussen, C.5    Fink, M.6
  • 26
    • 0346897985 scopus 로고    scopus 로고
    • Mechanics with variable-order differential operators
    • Coimbra C.F.M. Mechanics with variable-order differential operators. Ann Phys 12 (2003) 692-703
    • (2003) Ann Phys , vol.12 , pp. 692-703
    • Coimbra, C.F.M.1
  • 28
    • 44849103361 scopus 로고    scopus 로고
    • A constitutive equation for linear viscoelastic thermoset materials undergoing compression
    • Paper No. DETC2007-34169;
    • Ramirez LES, Coimbra CFM, A constitutive equation for linear viscoelastic thermoset materials undergoing compression, In: Proceedings of the of ASME IDETC/CIE conference. Paper No. DETC2007-34169; 2007.
    • (2007) Proceedings of the of ASME IDETC/CIE conference
    • Ramirez, L.E.S.1    Coimbra, C.F.M.2
  • 29
    • 0036650957 scopus 로고    scopus 로고
    • Variable order and distributed order fractional operators
    • Lorenzo C.F., and Hartley T.T. Variable order and distributed order fractional operators. Nonlinear Dyn 29 (2002) 57-98
    • (2002) Nonlinear Dyn , vol.29 , pp. 57-98
    • Lorenzo, C.F.1    Hartley, T.T.2
  • 30
    • 48849103497 scopus 로고    scopus 로고
    • Leveraging the equivalence of hysteresis models from different fields for analysis and numerical simulation of jointed structures
    • Royston T.J. Leveraging the equivalence of hysteresis models from different fields for analysis and numerical simulation of jointed structures. ASME J Comput Nonlinear Dyn 3 (2008) 031006-1-031006-8
    • (2008) ASME J Comput Nonlinear Dyn , vol.3
    • Royston, T.J.1
  • 32
    • 34547266500 scopus 로고    scopus 로고
    • Viscoelasticity in polymers: Phenomenological to molecular mathematical modelling
    • doi:10.1002/num.20250;
    • Banks HT, Luke NS, Samuels Jr, JR, Viscoelasticity in polymers: phenomenological to molecular mathematical modelling. Numer Methods Partial Differ Eqn. doi:10.1002/num.20250; 2008.
    • (2008) Numer Methods Partial Differ Eqn
    • Banks, H.T.1    Luke, N.S.2    Samuels Jr, J.R.3
  • 33
    • 85196196080 scopus 로고    scopus 로고
    • Magnetic resonance imaging for monitoring chondrogenesis of stem-cell based constructs in vitro
    • Troken A.J., Abdullah O.M., Othman S.F., Magin R.L., and Mao J.J. Magnetic resonance imaging for monitoring chondrogenesis of stem-cell based constructs in vitro. Abstr Annu Meet BME (2006)
    • (2006) Abstr Annu Meet BME
    • Troken, A.J.1    Abdullah, O.M.2    Othman, S.F.3    Magin, R.L.4    Mao, J.J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.