255
Views
6
CrossRef citations to date
0
Altmetric
Articles

Image-based multi-scale mechanical analysis of strain amplification in neurons embedded in collagen gel

, , , , , & show all
Pages 113-129 | Received 04 Feb 2018, Accepted 15 Oct 2018, Published online: 17 Nov 2018

References

  • Alastrué V, Rodríguez JF, Calvo B, Doblaré M. 2007. Structural damage models for fibrous biological soft tissues. Int J Solids Struct. 44(18–19):5894–5911.
  • Ambrosi D, Pezzuto S. 2012. Active stress vs. active strain in mechanobiology: constitutive issues. J Elast. 107(2):199–212.
  • Bonet J, Burton AJ. 1998. A simple orthotropic, transversely isotropic hyperelastic constitutive equation for large strain computations. Comput Methods Appl Mech Eng. 162(1–4):151–164.
  • Bonet J, Wood DR. 2008. Nonlinear continuum mechanics for finite element analysis. 2nd ed. Cambridge, UK: Cambridge University Press.
  • Chandran PL, Barocas VH. 2007. Deterministic material-based averaging theory model of collagen gel micromechanics. J Biomech Eng. 129(2):137–111.
  • Cristini V, Lowengrub J, Nie Q. 2003. Nonlinear simulation of tumor growth. J Math Biol. 46(3):191–224.
  • Cullen DK, Tang-Schomer MD, Struzyna LA, Patel AR, Johnson VE, Wolf JA, Smith DH. 2012. Microtissue engineered constructs with living axons for targeted nervous system reconstruction. Tissue Eng Part A. 18(21–22):2280–2289.
  • Delalondre F, Smith C, Shephard MS. 2010. Collaborative software infrastructure for adaptive multiple model simulation. Comput Methods Appl Mech Eng. 199(21–22):1352–1370.
  • Dong L, Quindlen JC, Lipschutz DE, Winkelstein BA. 2012. Whiplash-like facet joint loading initiates glutamatergic responses in the DRG and spinal cord associated with behavioral hypersensitivity. Brain Res. 1461:51–63.
  • Dutov P, Antipova O, Varma S, Orgel JPRO, Schieber JD. 2016. Measurement of elastic modulus of collagen type I single fiber. PLoS One. 11(1):e01457011.
  • Ehret AE, Itskov M. 2009. Modeling of anisotropic softening phenomena: application to soft biological tissues. Int J Plast. 25(5):901–919.
  • Eppell SJ, Smith BN, Kahn H, Ballarini R. 2006. Nano measurements with micro-devices: mechanical properties of hydrated collagen fibrils. J Royal Soc Inter. 3(6):117–121.
  • Fletcher DA, Mullins RD. 2010. Cell mechanics and the cytoskeleton. Nature. 463(7280):485–492.
  • Friedl P, Zänker KS, Bröcker EB. 1998. Cell migration strategies in 3-D extracellular matrix: differences in morphology, cell matrix interactions, and integrin function. Microsc Res Tech. 43(5):369–378.
  • Fung YC. 1993. Biomechanics. 2nd ed. New York, NY: Springer-Verlag.
  • Guido S, Tranquillo RT. 1993. A methodology for the systematic and quantitative study of cell contact guidance in oriented collagen gels. Correlation of fibroblast orientation and gel birefringence. J Cell Sci. 105(2):317–331.
  • Guilak F, Mow VC. 2000. The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage. J Biomech. 33(12):1663–1673.
  • Hashin Z. 1962. The elastic moduli of heterogeneous materials. J Appl Mech. 29(1):143–150.
  • Humphrey JD. 2001. Cardiovascular solid mechanics: cells, tissues and organs. New York, NY: Springer-Verlag.
  • Humphrey JD, Rajagopal KR. 2002. A constrained mixture model for growth and remodeling of soft tissues. Math Models Methods Appl Sci. 12(3):407–430.
  • Isenberg BC, Williams C, Tranquillo RT. 2006. Small-diameter artificial arteries engineered in vitro. Circ Res. 98(1):25–35.
  • Ita ME, Zhang S, Holsgrove TP, Kartha S, Winkelstein BA. 2017. The physiological basis of cervical facet-mediated persistent pain: basic science and clinical challenges. J Orthop Sports Phys Ther. 47(7):450–461.
  • Kallakuri S, Li Y, Chen C, Cavanaugh JM. 2012. Innervation of cervical ventral facet joint capsule: histological evidence. World J Orthop. 3(2):10–15.
  • Khalsa PS, Hoffman AH, Grigg P. 1996. Mechanical states encoded by stretch-sensitive neurons in feline joint capsule. J Neurophysiol. 76(1):175–187.
  • Klaas O, Beall MW, Shephard MS. 2013. Construction of models and meshes of heterogeneous material microstructures from image data. Image-Based Geometric Modeling and Mesh Generation. 3:171–193.
  • Klaas O, Beall MW, Shephard MS. 2014. Generation of geometric models and meshes from segmented data. In: Proceedings of NAFEMS Americas Conference 2014.
  • Lai VK, Hadi MF, Tranquillo RT, Barocas VH. 2013. A multiscale approach to modeling the passive mechanical contribution of cells in tissues. J Biomech Eng. 135(7):071007.
  • Lai VK, Lake SP, Frey CR, Tranquillo RT, Barocas VH. 2012. Mechanical behavior of collagen-fibrin co-gels reflects transition from series to parallel interactions with increasing collagen content. J Biomech Eng. 134(1):011004–011019.
  • Lake SP, Hadi MF, Lai VK, Barocas VH. 2012. Mechanics of a fiber network within a non-fibrillar matrix: model and comparison with collagen-agarose co-gels. Ann Biomed Eng. 40(10):2111–2121.
  • Lee KE, Thinnes JH, Gokhin DS, Winkelstein BA. 2004. A novel rodent neck pain model of facet-mediated behavioral hypersensitivity: implications for persistent pain and whiplash injury. J Neurosci Methods. 137(2):151–159.
  • Limbert G, Middleton J. 2004. A transversely isotropic viscohyperelastic material. Int J Solids Struct. 41(15):4237–4260.
  • Lindström SB, Kulachenko A, Jawerth LM, Vader DA. 2013. Finite-strain, finite-size mechanics of rigidly cross-linked biopolymer networks. Soft Matter. 9(30):7302–7312.
  • Marquez JP, Elson EL, Genin GM. 2010. Whole cell mechanics of contractile fibroblasts: relations between effective cellular and extracellular matrix moduli. Philos Trans A Math Phys Eng Sci. 368(1912):635–654.
  • McLain RF, Pickar JG. 1998. Mechanoreceptor endings in human thoracic and lumbar facet joints. Spine. 23(2):168–173.
  • Menzel A, Kuhl E. 2012. Frontiers in growth and remodeling. Mech Res Commun. 42:1–14.
  • Mofrad MRK, Kamm RD. 2006. Cytoskeletal mechanics. Cambridge, UK: Cambridge University Press.
  • Mow VC, Kuei SC, Lai WM, Armstrong CG. 1980. Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. J Biomech Eng. 102(1):73–83.
  • Peña E, Alastrué V, Laborda A, Martínez MA, Doblaré M. 2010. A constitutive formulation of vascular tissue mechanics including viscoelasticity and softening behaviour. J Biomech. 43(5):984–989.
  • Peter SJ, Mofrad MRK. 2012. Computational modeling of axonal microtubule bundles under tension. Biophys J. 102(4):749–757.
  • Pizzo AM, Kokini K, Vaughn LC, Waisner BZ, Voytik-Harbin SL. 2005. Extracellular matrix (ECM) microstructural composition regulates local cell-ECM biomechanics and fundamental fibroblast behavior: a multidimensional perspective. J Appl Physiol. 98(5):1909–1921.
  • Quindlen JC, Stolarski HK, Johnson MD, Barocas VH. 2016. A multiphysics model of the Pacinian corpuscle. Integr Biol (Camb). 8(11):1111–1125.
  • Quinn KP, Winkelstein BA. 2008. Altered collagen fiber kinematics define the onset of localized ligament damage during loading. J Appl Physiol. 105(6):1881–1888.
  • Quinn KP, Winkelstein BA. 2009. Vector correlation technique for pixel-wise detection of collagen fiber realignment during injurious tensile loading. J Biomed Opt. 14(5):054010.
  • Schneider CA, Rasband WS, Eliceiri KW. 2012. NIH Image to ImageJ: 25 years of image analysis. Nat Methods. 9(7):671–675.
  • Schultz RA, Miller DC, Kerr CS, Micheli L. 1984. Mechanoreceptors in human cruciate ligaments. A histological study. J Bone Joint Surg Am. 66(7):1072–1076.
  • Shephard MS. 2000. Meshing environment for geometry-based analysis. Int J Numer Meth Engng. 47(1–3):169–190.
  • Simmetrix 2017. http://www.simmetrix.com.
  • Simon BR. 1992. Multiphase poroelastic finite element models for soft tissue structures. Appl Mech Rev. 45(6):191–218.
  • Simon M, Dokukin M, Kalaparthi V, Spedden E, Sokolov I, Staii C. 2016. Load rate and temperature dependent mechanical properties of the cortical neuron and its pericellular layer measured by atomic force microscopy. Langmuir. 32(4):1111–1119.
  • Sperry MM, Ita ME, Kartha S, Zhang S, Yu YH, Winkelstein B. 2017. The interface of mechanics and nociception in joint pathophysiology: insights from the facet and temporomandibular joints. J Biomech Eng. 139(2):021003.
  • Stylianopoulos T, Barocas VH. 2007. Volume-averaging theory for the study of the mechanics of collagen networks. Comput Methods Appl Mech Eng. 196(31–32):2981–2990.
  • Svensson RB, Hassenkam T, Hansen P, Magnusson SP. 2010. Viscoelastic behavior of discrete human collagen fibrils. J Mech Behav Biomed Mater. 3(1):112–115.
  • Syedain ZH, Graham ML, Dunn TB, O’Brien T, Johnson SL, Schumacher RJ, Tranquillo RT. 2017. A completely biological “off-the-shelf” arteriovenous graft that recellularizes in baboons. Sci Transl Med. 9(414):eaan4209.
  • Tobin WR, Chan VWL, Picu CR, Barocas VH, Shephard MS. The adaptive multiscale simulation infrastructure – methods and soft tissue example simulation. In preperation.
  • Tower TT, Neidert MR, Tranquillo RT. 2002. Fiber alignment imaging during mechanical testing of soft tissues. Ann Biomed Eng. 30(10):1221–1233.
  • Whitaker S. 1999. The method of volume averaging. New York, NY: Springer.
  • Zhang L, Lake SP, Barocas VH, Shephard MS, Picu RC. 2013a. Cross-linked fiber network embedded in elastic matrix. Soft Matter. 9(28):6398–6405.
  • Zhang L, Lake SP, Lai VK, Picu CR, Barocas VH, Shephard MS. 2013b. A couple fiber-matrix model demonstrates highly inhomogeneous microstructural interactions in soft tissues under tensile load. J Biomech Eng. 135(1):011008–011009.
  • Zhang S, Cao X, Stablow AM, Shenoy VB, Winkelstein BA. 2016. Tissue strain reorganizes collagen with a switchlike response that regulates neuronal extracellular signal-regulated kinase phosphorylation in vitro: implications for ligamentous injury and mechanotransduction. J Biomech Eng. 138(2):021013–021012.
  • Zhang S, Singh S, Winkelstein BA. 2017a. Collagen organization regulates stretch-initiated pain-related neuronal signals in vitro: implications for structure-function relationships in innervated ligaments. J Orthop Res. 3:10–18.
  • Zhang S, Zhao E, Winkelstein BA. 2017b. A nociceptive role for integrin signaling in pain after mechanical injury to the spinal facet capsular ligament. Ann Biomed Eng. 45(12):2813–2825.

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.