Abstract
Lumbar intervertebral disc (IVD) degeneration is the leading cause of lower back pain. While lumbar IVDs have low cellularity and limited capacity of regeneration, they bear high mechanical loads. Accelerated disc degeneration may happen because of undue cell stimulation, and cell nutrition also seems to be particularly influent in the disc. Cell nutrition depends on exchange of oxygen, glucose, and lactate between the periphery and the various regions of the IVD, which in turn depends on mechanical deformations. The mechanical regulation of disc cell nutrition, known as indirect mechanotransduction, is difficult to study in vivo or in vitro. This review reports on an important alternative in the form of numerical methods, which are based on the ability of poromechanical models to be coupled to solute transport-reaction models. Models need to address intricate nonlinear and time-dependent phenomena, but have allowed for important mechanisms to be proposed, complementing current knowledge gained from in vivo or in vitro observations.
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G. Livshits, M. Popham, I. Malkin, P.N. Sambrook, A.J. Macgregor, T. Spector, F.M.K. Williams, Ann. Rheum. Dis. 70, 1740 (2011).
J. Antoniou, T. Steffen, F. Nelson, N. Winterbottom, A.P. Hollander, R.A. Poole, M. Alini, J. Clin. Invest. 98, 996 (1996).
N.V. Vo, R.A. Hartman, T. Yurube, L.J. Jacobs, G.A. Sowa, J.D. Kang, Spine J. 13, 331 (2013).
C. Neidlinger-Wilke, A. Mietsch, C. Rinkler, H.-J. Wilke, A. Ignatius, J.P.G. Urban, J. Orthop. Res. 30, 112 (2012).
C. Rinkler, F. Heuer, M.T. Pedro, U.M. Mauer, A. Ignatius, C. Neidlinger-Wilke, J. Neurosurg. Spine 13, 535 (2010).
Y.-C. Huang, J.P.G. Urban, K.D.K. Luk, Nat. Rev. Rheumatol. 10, 561 (2014).
J.C. Iatridis, J.J. MacLean, P.J. Roughley, M. Alini, J. Bone Joint Surg. Am. 88 (Suppl. 2), 41 (2006).
M.C. Battié, T. Videman, J. Kaprio, L.E. Gibbons, K. Gill, H. Manninen, L. Peltonen, Spine J. 9, 47 (2009).
G.D. O’Connell, E.J. Vresilovic, D.M. Elliott, J. Orthop. Res. 29, 547 (2011).
V.C. Mow, S.C. Kuei, W.M. Lai, C.G. Armstrong, J. Biomech. Eng. 102, 73 (1980).
M.A. Biot, J. Appl. Phys. 12, 155 (1941).
B.R. Simon, J.S.S. Wu, M.W. Carlton, J.H. Evans, L.E. Kazarian, J. Biomech. Eng. 107, 327 (1985).
J.M. Huyghe, J.D. Janssen, Int. J. Eng. Sci. 35, 793 (1997).
A. Malandrino, J.A. Planell, D. Lacroix, J. Biomech. 42, 2780 (2009).
D.R. Wagner, J.C. Lotz, J. Orthop. Res. 22, 901 (2004).
A.H. Hsieh, D.R. Wagner, L.Y. Cheng, J.C. Lotz, J. Biomech. Eng. 127, 1158 (2005).
A. Malandrino, J. Noailly, D. Lacroix, Comput. Methods Biomech. Biomed. Eng. 16, 923 (2013).
B.R. Simon, M.V. Kaufmann, M.A. McAfee, A.L. Baldwin, L.M. Wilson, J. Biomech. Eng. 120, 188 (1998).
L. Treloar, The Physics of Rubber Elasticity, (Oxford University Press, UK, 3rd ed. 2005).
N.T. Jacobs, D.H. Cortes, J.M. Peloquin, E.J. Vresilovic, D.M. Elliott, J. Biomech. 47, 2540 (2014).
D. Zhu, G. Gu, W. Wu, H. Gong, W. Zhu, T. Jiang, Z. Cao, Clin. Biomech. 23 (Suppl. 1), S74 (2008).
G.A. Holzapfel, C.A.J. Schulze-Bauer, G. Feigl, P. Regitnig, Biomech. Model. Mechanobiol. 3, 125 (2005).
S. Ebara, J.C. Iatridis, L.A. Setton, R.J. Foster, V.C. Mow, M. Weidenbaum, Spine (Phila Pa 1976) 21, 452 (1996).
J. Noailly, J.A. Planell, D. Lacroix, Biomech. Model. Mechanobiol. 10, 203 (2011).
F.C. Caner, Z. Guo, B. Moran, Z.P. Bazant, I. Carol, J. Biomech. Eng. 129, 632 (2007).
C. Reutlinger, A. Bürki, V. Brandejsky, L. Ebert, P. Büchler, J. Mech. Behav. Biomed. Mater. 30, 279 (2014).
R. Eberlein, G.A. Holzapfel, C. Schulze-Bauer, Comput. Methods Biomech. Biomed. Eng. 4, 209 (2001).
R. Eberlein, G.A. Holzapfel, M. Fröhlich, Comput. Mech. 34, 147 (2004).
T.C. Gasser, R.W. Ogden, G.A. Holzapfel, J. R. Soc. Interface 3, 15 (2006).
G.A. Holzapfel, T.C. Gasser, R.W. Ogden, J. Elast. 61, 1 (2000).
Y. Schroeder, W. Wilson, J.M. Huyghe, F.P.T. Baaijens, Eur. Spine J. 15 (Suppl. 3), S361 (2006).
Y. Schroeder, J.M. Huyghe, C.C. van Donkelaar, K. Ito, Biomech. Model. Mechanobiol. 9, 641 (2010).
A. Malandrino, J.M. Pozo, I. Castro-Mateos, A.F. Frangi, M.M. van Rijsbergen, K. Ito, J. Noailly, Front. Bioeng. Biotechnol. 3, 1 (2015).
M.H. Holmes, V.C. Mow, J. Biomech. 23, 1145 (1990).
F. Galbusera, M. van Rijsbergen, K. Ito, J.M. Huyghe, M. Brayda-Bruno, H.-J. Wilke, Eur. Spine J. 23 (Suppl. 3), S324 (2014).
S. Wognum, J.M. Huyghe, F.P.T. Baaijens, Spine (Phila Pa 1976) 31, 1783 (2006).
F. Galbusera, H. Schmidt, J. Noailly, A. Malandrino, D. Lacroix, H.-J. Wilke, A. Shirazi-Adl, J. Mech. Behav. Biomed. Mater. 4, 1234 (2011).
M. Argoubi, A. Shirazi-Adl, J. Biomech. 29, 1331 (1996).
S.J. Ferguson, K. Ito, L.-P. Nolte, J. Biomech. 37, 213 (2004).
H. Schmidt, A. Shirazi-Adl, F. Galbusera, H.-J. Wilke, J. Biomech. 43, 1849 (2010).
A. Malandrino, J. Noailly, D. Lacroix, PLoS Comput. Biol. 7, e1002112 (2011).
W.M. Lai, J.S. Hou, V.C. Mow, J. Biomech. Eng. 113, 245 (1991).
H. Yao, W.Y. Gu, Biorheology 43, 323 (2006).
H. Yao, W.Y. Gu, J. Biomech. 40, 2071 (2007).
M. Jin, A.J. Grodzinsky, Macromolecules 34, 8330 (2001).
R.W. Roos, R. Petterson, J.M. Huyghe, Biomech. Model. Mechanobiol. 12, 617 (2013).
Q. Zhu, A.R. Jackson, W.Y. Gu, J. Biomech. 45, 2769 (2012).
C. Ruiz, A. Malandrino, D. Lacroix, K. Ito, J. Noailly, paper presented at the 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain, July 20–25 2014.
M.B. Coventry, R.K. Ghormley, J.W. Kernohan, J. Bone Joint Surg. 27, 105 (1945).
H.K. Pokharna, F.M. Phillips, Spine (Phila Pa 1976) 23, 1645 (1998).
J.C. Iatridis, L.A. Setton, R.J. Foster, B.A. Rawlins, M. Weidenbaum, V.C. Mow, J. Biomech. 31, 535 (1998).
A. Malandrino, thesis, Technical University of Catalonia, Barcelona, Spain (2012).
F. Galbusera, H. Schmidt, C. Neidlinger-Wilke, A. Gottschalk, H.-J. Wilke, Eur. Spine J. 20, 563 (2011).
L. Dormieux, D. Kondo, Rev. Eur. Génie Civ. 11, 945 (2007).
J. Antoniou, L.M. Epure, A.J. Michalek, M.P. Grant, J.C. Iatridis, F. Mwale, J. Magn. Reson. Imaging 38, 1402 (2013).
A. Sharma, T. Pilgram, F.J. Wippold, AJNR Am. J. Neuroradiol. 30, 500 (2009).
R.C. Hilton, J. Ball, R.T. Benn, Ann. Rheum. Dis. 39, 533 (1980).
F.M. Munter, B.A. Wasserman, H.-M. Wu, D.M. Yousem, AJNR Am. J. Neuroradiol. 23, 1105 (2002).
M. Gardner-Morse, J. Biomech. 37, 205 (2004).
M.M. Panjabi, M.H. Krag, T.Q. Chung, Spine (Phila Pa 1976) 9, 707 (1984).
A. Maroudas, R.A. Stockwell, A. Nachemson, J. Urban, J. Anat. 120, 113 (1975).
J.P.G. Urban, S. Smith, J.C.T. Fairbank, Spine (Phila Pa 1976) 29, 2700 (2004).
S. Holm, A. Maroudas, J.P.G. Urban, G. Selstam, A. Nachemson, Connect. Tissue Res. 8, 101 (1981).
S.R.S. Bibby, D.A. Jones, R.B. Lee, J. Yu, J.P.G. Urban, Joint Bone Spine 68, 537 (2001).
S.R.S. Bibby, D.A. Jones, R.M. Ripley, J.P.G. Urban, Spine 30, 487 (2005).
D.M. Soukane, A. Shirazi-Adl, J.P.G. Urban, J. Biomech. 40, 2645 (2007).
C.-Y. Huang, W.Y. Gu, J. Biomech. 41, 1184 (2008).
D.M. Soukane, A. Shirazi-Adl, J.P.G. Urban, Eur. Spine J. 18, 254 (2009).
D.M. Soukane, A. Shirazi-Adl, J.P.G. Urban, J. Biomech. Eng. 127, 1121 (2005).
C. Magnier, O. Boiron, S. Wendling-Mansuy, P. Chabrand, V. Deplano, J. Biomech. 42, 100 (2009).
A.R. Jackson, C.-Y.C. Huang, M.D. Brown, W.Y. Gu, J. Biomech. Eng. 133, 091006 (2011).
F. Galbusera, A. Mietsch, H. Schmidt, H.-J. Wilke, C. Neidlinger-Wilke, Comput. Methods Biomech. Biomed. Eng. 16, 328 (2013).
A. Malandrino, J. Noailly, D. Lacroix, J. Biomech. 47, 1520 (2014).
J. Urban, S. Holm, A. Maroudas, A. Nachemson, Clin. Orthop. Relat. Res. 170, 296 (1982).
M.M. Katz, A.R. Hargens, S.R. Garfin, Clin. Orthop. Relat. Res. 210, 243 (1986).
S. Razaq, R.J. Wilkins, J.P.G. Urban, Eur. Spine J. 12, 341 (2003).
S.R.S. Bibby, J.C.T. Fairbank, M.R. Urban, J.P.G. Urban, Spine (Phila Pa 1976) 27, 2220 (2002).
H.A. Horner, J.P. Urban, Spine (Phila Pa 1976) 26, 2543 (2001).
W.E. Johnson, S.M. Eisenstein, S. Roberts, Connect. Tissue Res. 42, 197 (2001).
S.R.S. Bibby, J.P.G. Urban, Eur. Spine J. 13, 695 (2004).
T. Guehring, G. Wilde, M. Sumner, T. Grünhagen, G.B. Karney, U.K. Tirlapur, J.P.G. Urban, Arthritis Rheum. 60, 1026 (2009).
A. Shirazi-Adl, M. Taheri, J. Urban, J. Biomech. 43, 1330 (2010).
J. Lin, S.-M. Lee, H.-J. Lee, Y.-M. Koo, Biotechnol. Bioprocess Eng. 5, 382 (2000).
J.M. Peloquin, J.H. Yoder, N.T. Jacobs, S.M. Moon, A.C. Wright, E.J. Vresilovic, D.M. Elliott, J. Biomech. 47, 2452 (2014).
J.B. Martinez, V.O. Oloyede, N.D. Broom, Med. Eng. Phys. 19, 145 (1997).
J.R. Williams, R.N. Natarajan, G.B.J. Andersson, J. Biomech. 40, 1981 (2007).
A.P.G. Castro, C.P.L. Paul, S.E.L. Detiger, T.H. Smit, B.J. van Royen, J.C. Pimenta Claro, M.J. Mullender, J.L. Alves, Front. Bioeng. Biotechnol. 2, 56 (2014).
A. Malandrino, D. Lacroix, J. Noailly, Poromechanics V (American Society of Civil Engineers, Reston, VA, 2013), pp. 2193 – 2201.
A.R. Jackson, C.-Y. Huang, W.Y. Gu, Comput. Methods Biomech. Biomed. Eng. 14, 195 (2011).
S. Illien-Jünger, B. Gantenbein-Ritter, S. Grad, P. Lezuo, S.J. Ferguson, M. Alini, K. Ito, Spine (Phila Pa 1976) 35, 1744 (2010).
C.R. Lee, J.C. Iatridis, L. Poveda, M. Alini, Spine (Phila Pa 1976) 31, 515 (2006).
A. Malandrino, D. Lacroix, C. Hellmich, K. Ito, S.J. Ferguson, J. Noailly, Osteoarthr. Cartil. 22, 1053 (2014).
J. Noailly, A. Malandrino, F. Galbusera, in Computational Modelling of Biomechanics and Biotribology in the Musculoskeletal System (Woodhead Publishing, Cambridge, UK, 2014), pp. 447 – 484.
A.G. Rodriguez, C.K. Slichter, F.L. Acosta, A.E. Rodriguez-Soto, A.J. Burghardt, S. Majumdar, J.C. Lotz, Spine (Phila Pa 1976) 36, 512 (2011).
R.J. Lories, F.P. Luyten, Nat. Rev. Rheumatol. 7, 43 (2010).
K. Wuertz, K. Godburn, J.J. MacLean, A. Barbir, J.S. Donnelly, P.J. Roughley, J.C. Iatridis, J. Orthop. Res. 27, 1235 (2009).
D.-L. Wang, S.-D. Jiang, L.-Y. Dai, Spine (Phila Pa 1976) 32, 2521 (2007).
M. Kroeber, F. Unglaub, T. Guehring, A. Nerlich, T. Hadi, C. Carstens, Spine (Phila Pa 1976) 30, 181 (2005).
M. Kasra, V. Goel, J. Martin, S.-T. Wang, W. Choi, J. Buckwalter, J. Orthop. Res. 21, 597 (2003).
J.C. Iatridis, A.J. Michalek, D. Purmessur, C.L. Korecki, Cell. Mol. Bioeng. 2, 437 (2009).
S. Motaghinasab, A. Shirazi-Adl, M. Parnianpour, J.P.G. Urban, Eur. Spine J. 23, 715 (2014).
I.A. Stokes, S. Chegini, S.J. Ferguson, M.G. Gardner-Morse, J.C. Iatridis, J.P. Laible, Ann. Biomed. Eng. 38, 1780 (2010).
C. Ruiz, J. Noailly, D. Lacroix, J. Mech. Behav. Biomed. Mater. 26, 1 (2013).
E.M. Bartels, J.C.T. Fairbank, C.P. Winlove, J.P.G. Urban, Spine (Phila Pa 1976) 23, 1 (1998).
J.C. Salvatierra, T.Y. Yuan, H. Fernando, A. Castillo, W.Y. Gu, H.S. Cheung, C.-Y.C. Huant, Cell. Mol. Bioeng. 4, 302 (2011).
H.N. Fernando, J. Czamanski, T.-Y. Yuan, W. Gu, A. Salahadin, C.-Y.C. Huang, J. Orthop. Res. 29, 1634 (2011).
W. Gu, Q. Zhu, X. Gao, M.D. Brown, Spine (Phila Pa 1976) 39, E1411 (2014).
T. Handa, H. Ishihara, H. Ohshima, R. Osada, H. Tsuji, K. Obata, Spine (Phila Pa 1976) 22, 1085 (1997).
J.C. Iatridis, J.J. MacLean, M. O’Brien, I.A.F. Stokes, Spine (Phila Pa 1976) 32, 1493 (2007).
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Malandrino, A., Jackson, A.R., Huyghe, J.M. et al. Poroelastic modeling of the intervertebral disc: A path toward integrated studies of tissue biophysics and organ degeneration. MRS Bulletin 40, 324–332 (2015). https://doi.org/10.1557/mrs.2015.68
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DOI: https://doi.org/10.1557/mrs.2015.68