Foam-like compression behavior of fibrin networks

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• 作者：Oleg V. Kim ; Xiaojun Liang…
• 关键词：Foams ; Fibrin networks ; Compression ; Phase transition ; Non ; affine deformation
• 刊名：Biomechanics and Modeling in Mechanobiology
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：15
• 期：1
• 页码：213-228
• 全文大小：1,185 KB
• 参考文献：Abeyaratne R, Knowles JK (2006) Evolution of phase transitions: a continuum theory. Cambridge University Press, New YorkCrossRef
  Ahmed TA, Dare EV, Hincke M (2008) Fibrin: a versatile scaffold for tissue engineering applications. Tissue Eng Part B: Rev 14(2):199–215CrossRef
  Arruda EM, Boyce MC (1993) A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J Mech Phys Solids 41(2):389–412CrossRef
  Bouaziz O, Masse JP, Allain S, Orgas L, Latil P (2013) Compression of crumpled aluminum thin foils and comparison with other cellular materials. Mater Sci Eng: A 570:1–7CrossRef
  Broedersz CP, Sheinman M, MacKintosh FC (2012) Filament-length-controlled elasticity in 3D fiber networks. Phys Rev Lett 108(7):078102CrossRef
  Brown AE, Litvinov RI, Discher DE, Purohit PK, Weisel JW (2009) Multiscale mechanics of fibrin polymer: gel stretching with protein unfolding and loss of water. Science 325(5941):741–744CrossRef
  Chen J, Kim OV, Litvinov RI, Weisel JW, Alber MS, Chen DZ (2014) An automated approach for fibrin network segmentation and structure identification in 3D confocal microscopy images. 2014 IEEE 27th international symposium on the computer-based medical systems (CBMS), (pp. 173–178)
  Choong LT, Mannarino MM, Basu S, Rutledge GC (2013) Compressibility of electrospun fiber mats. J Mater Sci 48(22):7827–7836CrossRef
  Collet JP, Shuman H, Ledger RE, Lee S, Weisel JW (2005) The elasticity of an individual fibrin fiber in a clot. Proc Natl Acad Sci USA 102(26):9133–9137CrossRef
  Falvo MR, Gorkun OV, Lord ST (2010) The molecular origins of the mechanical properties of fibrin. Biophys Chem 152(1):15–20CrossRef
  Ferry JD (1980) Viscoelastic properties of polymers. Wiley, Hoboken
  Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca
  Fung YC (1965) Foundations of solid mechanics. Prentice-Hall: Englewood Cliffs
  Gaitanaros S, Kyriakides S, Kraynik AM (2012) On the crushing response of random open-cell foams. Int J Solids Struct 49(19):2733–2743CrossRef
  Gibson LJ, Ashby MF (1999) Cellular solids: structure and properties. Cambridge University Press, CambridgeMATH
  Houser JR, Hudson NE, Ping L, O’Brien ET III, Superfine R, Lord ST, Falvo MR (2010) Evidence that \(\alpha \) C region is origin of low modulus, high extensibility, and strain stiffening in fibrin fibers. Biophys J 99(9):3038–3047CrossRef
  Howard J (2001) Mechanics of motor proteins and the cytoskeleton. Sinauer Associates: Sunderland
  Hudson NE, Houser JR, O’Brien ET III, Taylor RM II, Superfine R, Lord ST, Falvo MR (2010) Stiffening of individual fibrin fibers equitably distributes strain and strengthens networks. Biophys J 98(8):1632–1640CrossRef
  Hudson NE, Ding F, Bucay I, OBrien ET III, Gorkun OV, Superfine R, Falvo MR (2013) Submillisecond elastic recoil reveals molecular origins of fibrin fiber mechanics. Biophys J 104(12):2671–2680
  Hutchens SB, Needleman A, Greer JR (2011) Analysis of uniaxial compression of vertically aligned carbon nanotubes. J Mech Phys Solids 59(10):2227–2237CrossRef MATH
  Jahnel M, Waigh TA, Lu JR (2008) Thermal fluctuations of fibrin fibres at short time scales. Soft Matter 4(7):1438–1442CrossRef
  Jang WY, Kyriakides S (2009) On the crushing of aluminum open-cell foams: part I. Experiments. Int J Solids Struct 46(3):617–634
  Janmey PA, Euteneuer U, Traub P, Schliwa M (1991) Viscoelastic properties of vimentin compared with other filamentous biopolymer networks. J Cell Biol 113(1):155–160CrossRef
  Kang H, Wen Q, Janmey PA, Tang JX, Conti E, MacKintosh FC (2009) Nonlinear elasticity of stiff filament networks: strain stiffening, negative normal stress, and filament alignment in fibrin gels. J Phys Chem B 113(12):3799–3805CrossRef
  Kim OV, Xu Z, Rosen ED, Alber MS (2013) Fibrin networks regulate protein transport during thrombus development. PLoS Comput Biol 9(6):e1003095CrossRef
  Kim OV, Litvinov RI, Weisel JW, Alber MS (2014) Structural basis for the nonlinear mechanics of fibrin networks under compression. Biomaterials 35(25):6739–6749CrossRef
  Landau LD, Lifshitz EM, Pitaevskii LP (1984) Statistical Physics. Butterworth-Heinemann: Oxford
  Litvinov RI, Faizullin DA, Zuev YF, Weisel JW (2012) The alpha-helix to beta-sheet transition in stretched and compressed hydrated fibrin clots. Biophys J 103(5):1020–1027
  Liu WJLM, Jawerth LM, Sparks EA, Falvo M, Hantgan RR, Superfine R, Guthold M (2006) Fibrin fibers have extraordinary extensibility and elasticity. Science 313(5787):634–634CrossRef
  Masse JP, Poquillon D (2013) Mechanical behavior of entangled materials with or without cross-linked fibers. Scr Mater 68(1):39–43CrossRef
  Mezeix L, Bouvet C, Huez J, Poquillon D (2009) Mechanical behavior of entangled fibers and entangled cross-linked fibers during compression. J Mater Sci 44(14):3652–3661CrossRef
  Onck PR, Koeman T, Van Dillen T, Van der Giessen E (2005) Alternative explanation of stiffening in cross-linked semiflexible networks. Phys Rev Lett 95(17):178102CrossRef
  Piechocka IK, Bacabac RG, Potters M, MacKintosh FC, Koenderink GH (2010) Structural hierarchy governs fibrin gel mechanics. Biophys J 98(10):2281–2289CrossRef
  Purohit PK, Litvinov RI, Brown AE, Discher DE, Weisel JW (2011) Protein unfolding accounts for the unusual mechanical behavior of fibrin networks. Acta Biomater 7(6):2374–2383CrossRef
  Raj R, Purohit PK (2011) Phase boundaries as agents of structural change in macromolecules. J Mech Phys Solids 59(10):2044–2069MathSciNet CrossRef MATH
  Ryan EA, Mockros LF, Weisel JW, Lorand L (1999) Structural origins of fibrin clot rheology. Biophys J 77(5):2813–2826CrossRef
  Shahsavari A, Picu RC (2012) Model selection for athermal cross-linked fiber networks. Phys Rev E 86(1):011923CrossRef
  Sharma RC, Papagiannopoulos A, Waigh TA (2008) Optical coherence tomography picorheology of biopolymer solutions. Appl Phys Lett 92(17):173903CrossRef
  Storm C, Pastore JJ, MacKintosh FC, Lubensky TC, Janmey PA (2005) Nonlinear elasticity in biological gels. Nature 435(7039):191–194CrossRef
  Toll S (1998) Packing mechanics of fiber reinforcements. Polym Eng Sci 38(8):1337–1350CrossRef
  Van Wyk CM (1946) Note on the compressibility of wool. J Text Inst Trans 37(12):T285–T292CrossRef
  Weisel JW (2004) The mechanical properties of fibrin for basic scientists and clinicians. Biophys chem 112(2):267–276CrossRef
  Weisel JW, Litvinov RI (2013) Mechanisms of fibrin polymerization and clinical implications. Blood 121(10):1712–1719CrossRef
  Wen Q, Basu A, Winer JP, Yodh A, Janmey PA (2007) Local and global deformations in a strain-stiffening fibrin gel. New J Phys 9(11):428CrossRef
  Yang Y, Bai M, Klug WS, Levine AJ, Valentine MT (2013) Microrheology of highly crosslinked microtubule networks is dominated by force-induced crosslinker unbinding. Soft Matter 9(2):383–393CrossRef
  
• 作者单位：Oleg V. Kim (1)
  Xiaojun Liang (2)
  Rustem I. Litvinov (3)
  John W. Weisel (3)
  Mark S. Alber (1) (4)
  Prashant K. Purohit (2)
  
  1. Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, USA
  2. Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA, USA
  3. Department of Cell and Developmental Biology, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA
  4. Department of Medicine, Indiana University School of Medicine, Indianapolis, IN, USA
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Biomedical Engineering
  Mechanics
  Biophysics and Biomedical Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1617-7940

文摘

The rheological properties of fibrin networks have been of long-standing interest. As such there is a wealth of studies of their shear and tensile responses, but their compressive behavior remains unexplored. Here, by characterization of the network structure with synchronous measurement of the fibrin storage and loss moduli at increasing degrees of compression, we show that the compressive behavior of fibrin networks is similar to that of cellular solids. A nonlinear stress–strain response of fibrin consists of three regimes: (1) an initial linear regime, in which most fibers are straight, (2) a plateau regime, in which more and more fibers buckle and collapse, and (3) a markedly nonlinear regime, in which network densification occurs by bending of buckled fibers and inter-fiber contacts. Importantly, the spatially non-uniform network deformation included formation of a moving “compression front” along the axis of strain, which segregated the fibrin network into compartments with different fiber densities and structure. The Young’s modulus of the linear phase depends quadratically on the fibrin volume fraction while that in the densified phase depends cubically on it. The viscoelastic plateau regime corresponds to a mixture of these two phases in which the fractions of the two phases change during compression. We model this regime using a continuum theory of phase transitions and analytically predict the storage and loss moduli which are in good agreement with the experimental data. Our work shows that fibrin networks are a member of a broad class of natural cellular materials which includes cancellous bone, wood and cork.