195
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

New three-dimensional model based on finite element method of bone nanostructure: single TC molecule scale level

, , , &
Pages 617-625 | Received 07 Sep 2016, Accepted 07 Jan 2017, Published online: 09 Feb 2017

References

  • Barkaoui A, Hambli R. 2011. Finite element 3D modeling of mechanical behavior of mineralized collagen microfibrils. J Appl Biomater Biomech. 9:199–205. Available from: http://arxiv.org/abs/1112.0984\nhttp://www.ncbi.nlm.nih.gov/pubmed/22139755
  • Barkaoui A, Chamekh A, Merzouki T, Hambli R, Mkaddem A. 2014. Multiscale approach including microfibril scale to assess elastic constants of cortical bone based on neural network computation and homogenization method. Int J Numer Methods Biomed Eng. 30:318–338. Available from: http://www.ncbi.nlm.nih.gov/pubmed/24123969.10.1002/cnm.v30.3
  • Barkaoui A, Hambli R, Tavares JMRS. 2014. Effect of material and structural factors on fracture behaviour of mineralised collagen microfibril using finite element simulation. Comput Methods Biomech Biomed Eng. 5842:1–10. doi:10.1080/10255842.2014.883601.
  • Beck K, Brodsky B. 1998. Supercoiled protein motifs: the collagen triple-helix and the α-helical coiled coil. J Struct Biol. 122:17–29.10.1006/jsbi.1998.3965
  • Bella J, Eaton M, Brodsky B, Berman HM. 1994. Crystal and molecular structure of a collagen-like peptide at 1.9 A resolution. Science. 266:75–81.10.1126/science.7695699
  • Bhattacharjee A, Bansal M. 2005. Collagen structure: the Madras triple helix and the current scenario. IUBMB life. 57:161–172.10.1080/15216540500090710
  • Bozec L, Horton M. 2005. Topography and mechanical properties of single molecules of type I collagen using atomic force microscopy. Biophys J. 88:4223–4231.10.1529/biophysj.104.055228
  • Buehler MJ. 2006. Atomistic and continuum modeling of mechanical properties of collagen: elasticity, fracture, and self-assembly. J Mater Res. 21:1947–1961.10.1557/jmr.2006.0236
  • Buehler MJ, Ackbarow T. 2007. Fracture mechanics of protein materials. Mater Today. 10:46–58.10.1016/S1369-7021(07)70208-0
  • Buehler MJ, Keten S. 2008. Elasticity, strength and resilience: a comparative study on mechanical signatures of α-helix, β-sheet and tropocollagen domains. Nano Res. 1:63–71.10.1007/s12274-008-8006-7
  • Buehler MJ, Wong SY. 2007. Entropic elasticity controls nanomechanics of single tropocollagen molecules. J Biomech. 93:37–43.
  • Bustamante C, Marko JF, Siggia ED, Smith S. 1994. Entropic elasticity of lambda-phage DNA. Science. 265:1599–1600.10.1126/science.8079175
  • Charvolin J, Sadoc J-F. 2012. About collagen, a tribute to Yves Bouligand. Interface Focus. 2:567–574.10.1098/rsfs.2012.0014
  • van Duin ACT, Dasgupta S, Lorant F, Goddard III WA. 2001. ReaxFF: a reactive force field for hydrocarbons. J Phys Chem A. 105:9396–9409.10.1021/jp004368u
  • Fraser RD, MacRae TP, Miller A, Suzuki E. 1983. Molecular conformation and packing in collagen fibrils. J Mol Biol. 167:497–521.10.1016/S0022-2836(83)80347-7
  • Fratzl P. 2008. Collagen: structure and mechanics, an introduction. In: Collagen: structure and mechanics; p. 1–13. doi:10.1007/978-0-387-73906-910.1007/978-0-387-73906-9
  • Fratzl P, Fratzl-Zelman N, Klaushofer K. 1993. Collagen packing and mineralization. An X-ray scattering investigation of turkey leg tendon. Biophys J. 64:260–266.10.1016/S0006-3495(93)81362-6
  • Freed AD, Doehring TC. 2005. Elastic model for crimped collagen fibrils. J Biomech Eng. 127:587–593.
  • Gautieri A, Vesentini S, Redaelli A, Buehler MJ. 2012. Viscoelastic properties of model segments of collagen molecules. Matrix Biol. 31:141–149.10.1016/j.matbio.2011.11.005
  • Hulmes DJS. 2008. Collagen diversity, synthesis and assembly. In: Collagen: structure and mechanics; p. 15–47. doi:10.1007/978-0-387-73906-910.1007/978-0-387-73906-9
  • Kadler KE, Holmes D, Trotter J, Chapman J. 1996. Collagen fibril formation. Biochem J. 316:1–11.10.1042/bj3160001
  • Kadler KE, Baldock C, Bella J, Boot-Handford R. 2007. Collagens at a glance. J Cell Sci. 120:1955–1958.10.1242/jcs.03453
  • Lees S. 1981. A mixed packing model for bone collagen. Calcif Tissue Int. 33:591–602.10.1007/BF02409497
  • Lorenzo AC, Caffarena ER. 2005. Elastic properties, Young’s modulus determination and structural stability of the tropocollagen molecule: a computational study by steered molecular dynamics. J Biomech. 38:1527–1533.10.1016/j.jbiomech.2004.07.011
  • MacKerell AD, Bashford D, Bellott M, Dunbrack R, Evanseck J. 1998. All-atom empirical potential for molecular modeling and dynamics studies of proteins. J Phys Chem B. 102:3586–3616.10.1021/jp973084f
  • Marko JF, Siggia ED. 1995. Stretching DNA. Macromolecules. 28:8759–8770.10.1021/ma00130a008
  • Miller A. 1984. Collagen: the organic matrix of bone. Philos Trans Royal Soc B: Biol Sci. 304:455–477.10.1098/rstb.1984.0040
  • Neukirch S, Goriely A, Hausrath AC. 2008. Chirality of coiled coils: elasticity matters. Phys Rev Lett. 100(3):038105.
  • Orgel J, Miller A, Irving T, Fischetti R, Hammersley A. 2001. The in situ supermolecular structure of type I collagen. Structure. 9:1061–1069.10.1016/S0969-2126(01)00669-4
  • Parry DAD. 1988. The molecular fibrillar structure of collagen and its relationship to the mechanical properties of connective tissue. Biophys Chem. 29:195–209.10.1016/0301-4622(88)87039-X
  • Pauling L, Corey RB. 1953. A proposed structure for the nucleic acids. Proc Nat Acad Sci. 39:84–97.10.1073/pnas.39.2.84
  • Pradhan SM, Katti KS, Katti DR. 2012. Structural hierarchy controls deformation behavior of collagen. Biomacromolecules. 13:2562–2569.10.1021/bm300801a
  • Ramachandran GN, Kartha G. 2006. Structure of Collagen. 1954, 1955. Nat Med J India. 19:348–352.
  • van der Rest M, Garrone R. 1991. Collagen family of proteins. FASEB J. 5:2814–2823.
  • Saini K, Kumar N. 2015. Mechanical response of collagen molecule under hydrostatic compression. Mat Sci Eng C. 49:720–726.10.1016/j.msec.2015.01.032
  • Sasaki N, Odajima S. 1996. Stress-strain curve and young’s modulus of a collagen molecule as determined by the X-ray diffraction technique. J Biomech. 29:655–658.10.1016/0021-9290(95)00110-7
  • Shoulders MD, Raines RT. 2010. Collagen structure and stability. Annu Rev Biochem. 78:929–958.
  • Sun YL, Luo ZP, An KN. 2001. Stretching short biopolymers using optical tweezers. Biochem Biophys Res Commun. 286:826–830.10.1006/bbrc.2001.5426
  • Sun YL, Luo Z, Fertala A, An K. 2002. Direct quantification of the flexibility of type I collagen monomer. Biochem Biophys Res Commun. 295:382–386.10.1016/S0006-291X(02)00685-X
  • Tang Y, Cao G, Chen X, Yoo J, Yethiraj A. 2006. A finite element framework for studying the mechanical response of macromolecules: application to the gating of the mechanosensitive channel MscL. Biophys J. 91:1248–1263.10.1529/biophysj.106.085985
  • Uzel SGM, Buehler MJ. 2009. Nanomechanical sequencing of collagen: tropocollagen features heterogeneous elastic properties at the nanoscale. Integr Biol. 1:452–459.10.1039/b906864c
  • in‘t Veld PJ, and Stevens MJ. 2008. Simulation of the mechanical strength of a single collagen molecule. Biophys J. 95:33–39.10.1529/biophysj.107.120659
  • Vercher A, Giner E, Arango C, Tarancón J, Fuenmayor F. 2014. Homogenized stiffness matrices for mineralized collagen fibrils and lamellar bone using unit cell finite element models. Biomech Model Mechanobiol. 13:437–449.10.1007/s10237-013-0507-y
  • Vercher-Martínez A, Giner E, Arango C, Javier Fuenmayor F. 2015. Influence of the mineral staggering on the elastic properties of the mineralized collagen fibril in lamellar bone. J Mech Behav Biomed Mater. 42:243–256.10.1016/j.jmbbm.2014.11.022

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.