Comptes Rendus
Review: Rheological properties of biological materials
[Revue : Propriétés rhéologiques des matériaux biologiques]
Comptes Rendus. Physique, Volume 10 (2009) no. 8, pp. 790-811.

Les cellules eucaryotes et les matériaux biologiques sont présentés du point de vue de leur rhéologie. Les cellules individuelles possèdent des propriétés rhéologiques typiques, qui peuvent affecter le comportement cellulaire, en étroite relation avec leurs propriétés adhésives. Les caractéristiques individuelles des cellules sont aussi utiles pour décrire des systèmes multicellulaires, tels que des tissus biologiques. Les résultats d'expériences sont analysés et des modèles proposés tant à l'échelle cellulaire qu'à l'échelle macroscopique.

Eukaryotic cells and biological materials are described from a rheological point of view. Single cells possess typical microrheological properties which can affect cell behaviour, in close connection with their adhesion properties. Single cell properties are also important in the context of multicellular systems, i.e. in biological tissues. Results from experiments are analyzed and models proposed both at the cellular scale and the macroscopic scale.

Publié le :
DOI : 10.1016/j.crhy.2009.10.003
Keywords: Rheology, Tissues, Cell mechanics, Viscoelastic
Mot clés : Rhéologie, Tissus, Mécanique cellulaire, Viscoélastique
Claude Verdier 1 ; Jocelyn Etienne 1 ; Alain Duperray 2, 3 ; Luigi Preziosi 4

1 Laboratoire de spectrométrie physique, 140, avenue de la physique, BP87, 38402 Saint-Martin d'Hères cedex, France
2 INSERM, U823, Grenoble, France
3 Université Joseph-Fourier–Grenoble I, faculté de médecine, institut d'oncologie et développement Albert-Bonniot et institut français du sang, UMR-S823, Grenoble, France
4 Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
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Claude Verdier; Jocelyn Etienne; Alain Duperray; Luigi Preziosi. Review: Rheological properties of biological materials. Comptes Rendus. Physique, Volume 10 (2009) no. 8, pp. 790-811. doi : 10.1016/j.crhy.2009.10.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2009.10.003/

[1] A. Vaziri; A. Gopinath Nat. Materials, 7 (2008) no. 1, p. 15

[2] R.G. Larson The Structure and Rheology of Complex Fluids, Oxford University Press, New York, 1999

[3] C. Verdier J. Theor. Medicine, 5 (2003) no. 2, p. 67

[4] P.A. Pullarkat; P.A. Fernández; A. Ott Physics Reports, 449 (2007), p. 29

[5] R.B. Bird; R.C. Armstrong; O. Hassager Dynamics of Polymeric Liquids, vol. 1. Fluid Mechanics, John Wiley and Sons, 1987

[6] P. Sollich; F. Lequeux; P. Hébraud; M.E. Cates Phys. Rev. Lett., 78 (1997) no. 10, p. 2020

[7] H.H. Winter J. Non-Newtonian Fluid Mech., 68 (1997), p. 225

[8] L.I. Paladé; V. Vernay; P. Attané Rheol. Acta, 35 (1996), p. 265

[9] P.G. de Gennes J. Chem. Phys., 55 (1971) no. 2, p. 572

[10] M. Doi; S.F. Edwards The Theory of Polymer Dynamics, Oxford University Press, 1986

[11] P. Sollich Phys. Rev. E, 58 (1998) no. 1, p. 738

[12] M. Baumgaertel; A. Schausberger; H.H. Winter Rheol. Acta, 29 (1990), p. 400

[13] M. Balland; N. Desprat; D. Icard; S. Féréol; A. Asnacios; J. Browaeys; S. Hénon; F. Gallet Phys. Rev. E, 74 (2006) no. 2, p. 021911

[14] L.E. Malvern Introduction of the Mechanics of a Continuous Medium, Prentice Hall Inc., 1969

[15] F. Mollica; L. Preziosi; K.R. Rajagopal Modeling of Biological Materials, Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Boston, 2007

[16] Y.C. Fung Biomechanics. Mechanical Properties of Living Tissues, Springer-Verlag, New York, 1993

[17] D. Ambrosi; L. Preziosi Biomech. Model. Mechanobiol., 8 (2009), p. 397

[18] A. Chauvière, L. Preziosi, C. Verdier, Cell Mechanics. From Single Scale-Based Models to Multiscale Modeling, Chapman & Hall/CRC, 2010, in press

[19] B. Alberts; D. Bray; J. Lewis; M. Raff; K. Roberts; J.D. Watson Molecular Biology of the Cell, Garland Publishing, 1994

[20] R. Merkel; P. Nassoy; A. Leung; K. Ritchie; E. Evans Nature, 397 (1999) no. 6714, p. 50

[21] O. Thoumine; A. Ott; O. Cardoso; J.J. Meister J. Biochem. Biophys. Methods, 39 (1999) no. 1–2, p. 47

[22] E. Canetta; A. Duperray; A. Leyrat; C. Verdier Biorheology, 42 (2005) no. 5, p. 321

[23] D. Leckband Annu. Rev. Biophys. Biomol. Struct., 29 (2000), p. 1

[24] A. Ashkin; J.M. Dziedzic Proc. Natl. Acad. Sci. USA, 86 (1989), p. 7914

[25] S. Hénon; G. Lenormand; A. Richert; F. Gallet Biophys. J., 76 (1999) no. 2, p. 1145

[26] E. Helfer; S. Harlepp; L. Bourdieu; J. Robert; F.C. MacKintosh; D. Chatenay Phys. Rev. E, 63 (2001), p. 021904

[27] J. Gück; R. Ananthakrishnan; H. Mahmood; T.J. Moon; C.C. Cunningham; J. Käs Biophys. J., 81 (2001), p. 767

[28] H. Zhang; K.K. Liu J. Royal Soc. Interface, 5 (2008) no. 24, p. 671

[29] G. Binnig; C.F. Quate; C. Gerber Phys. Rev. Lett., 56 (1986) no. 9, p. 930

[30] R.E. Mahaffy; C.K. Shih; F.C. MacKintosh; J. Käs Phys. Rev. Lett., 85 (2000) no. 4, p. 880

[31] J. Alcaraz; L. Buscemi; M. Grabulosa; X. Trepat; B. Fabry; R. Farré; D. Navajas Biophys. J., 84 (2003) no. 3, p. 2071

[32] B.T. Marshall; M. Long; J.W. Piper; T. Yago; R.P. McEver; C. Zhu Nature, 423 (2003) no. 6936, p. 190

[33] G.I. Bell; M. Dembo; P. Bongrand Biophys. J., 45 (1984) no. 6, p. 1051

[34] M. Benoit; D. Gabriel; G. Gerisch; H.E. Gaub Nat. Cell Biol., 2 (2000) no. 6, p. 313

[35] X. Zhang; A. Chen; D.D. Leon; H. Li; E. Noiri; V.T. Moy; M.S. Goligorsky Am. J. Physiol. Heart Circ. Physiol., 286 (2004) no. 1, p. H359

[36] B. Fabry; G.N. Maksym; J.P. Butler; M. Glogauer; D. Navajas; J.J. Fredberg Phys. Rev. Lett., 87 (2001) no. 14, p. 148102

[37] N. Wang; J.P. Butler; D.E. Ingber Science, 260 (1993), p. 1124

[38] V. Laurent; E. Planus; R. Fodil; D. Isabey Biorheology, 40 (2003), p. 235

[39] D. Stamenovic; N. Rosenblatt; M. Montoya-Zavala; B.D. Matthews; S. Hu; B. Suki; N. Wang; D.E. Ingber Biophys. J., 93 (2007) no. 8, p. L39

[40] E. Evans Biophys. J., 13 (1973), p. 941

[41] E. Evans; A. Yeung Biophys. J., 56 (1989) no. 1, p. 151

[42] A. Yeung; E. Evans Biophys. J., 56 (1989) no. 1, p. 139

[43] O. Thoumine; A. Ott J. Cell Sci., 110 (1997) no. Pt 17, p. 2109

[44] N. Desprat; A. Richert; J. Simeon; A. Asnacios Biophys. J., 88 (2005) no. 3, p. 2224

[45] M. Duszyk; B. Schwab; G.I. Zahalak; H. Qian; E.L. Elson Biophys. J., 55 (1989) no. 4, p. 683

[46] W.H. Goldmann Biotechnol. Lett., 22 (2000), p. 431

[47] D. Riveline; E. Zamir; N.Q. Balaban; U.S. Schwarz; T. Ishizaki; S. Narumiya; Z. Kam; B. Geiger; A.D. Bershadsky J. Cell Biol., 153 (2001) no. 6, p. 1175

[48] T.G. Mason; D.A. Weitz Phys. Rev. Lett., 74 (1995) no. 7, p. 1250

[49] D. Mizuno; C. Tardin; C.F. Schmidt; F.C. Mackintosh Science, 315 (2007) no. 5810, p. 370

[50] J.C. Crocker; M.T. Valentine; E.R. Weeks; T. Gisler; P.D. Kaplan; A.G. Yodh; D.A. Weitz Phys. Rev. Lett., 85 (2000) no. 4, p. 888

[51] B.D. Hoffman; G. Massiera; K.M.V. Citters; J.C. Crocker Proc. Natl. Acad. Sci. USA, 103 (2006) no. 27, p. 10259

[52] P. Bursac; G. Lenormand; B. Fabry; M. Oliver; D.A. Weitz; V. Viasnoff; J.P. Butler; J.J. Fredberg Nat. Materials, 4 (2005) no. 7, p. 557

[53] X. Trepat; G. Lenormand; J.J. Fredberg Soft Matter, 4 (2008), p. 1750

[54] D. Stamenovic Nat. Materials, 5 (2006) no. 8, p. 597

[55] A. Boulbitch; Z. Guttenberg; E. Sackmann Biophys. J., 81 (2001) no. 5, p. 2743

[56] U. Seifert; R. Lipowski Phys. Rev. A, 42 (1990) no. 8, p. 4768

[57] Z. Guttenberg; B. Lorz; E. Sackmann; A. Boulbitch Europhys. Lett., 54 (2001) no. 6, p. 826

[58] A. Iordan; A. Duperray; C. Verdier Phys. Rev. E, 77 (2008) no. 1, p. 011911

[59] R.A. Foty; M.S. Steinberg Dev. Biol., 278 (2005) no. 1, p. 255

[60] D.A. Beysens; G. Forgacs; J.A. Glazier Proc. Natl. Acad. Sci. USA, 97 (2000) no. 17, p. 9467

[61] C. Zhu J. Biomech., 33 (2000) no. 1, p. 23

[62] C. Verdier; C. Couzon; A. Duperray; P. Singh J. Math. Biol., 58 (2009), p. 235

[63] G.I. Bell Science, 200 (1978) no. 4342, p. 618

[64] V. Ramachandran; T. Yago; T.K. Epperson; M.M.A. Kobzdej; M.U. Nollert; R.D. Cummings; C. Zhu; R.P. McEver Proc. Natl. Acad. Sci. USA, 98 (2001) no. 18, p. 10166

[65] K.E. Caputo; D.A. Hammer Biophys. J., 89 (2005) no. 1, p. 187

[66] C. Pozrikidis J. Fluid Mech., 440 (2001), p. 269

[67] I. Cantat; C. Misbah Phys. Rev. Lett., 83 (1999) no. 1, p. 235

[68] T. Biben; C. Misbah Phys. Rev. E, 67 (2003) no. 3, p. 031908

[69] J. Etienne, A. Duperray, Biophys. J. (under review), submitted for publication

[70] W. Helfrich Z. Naturforsch., 28C (1973), p. 693

[71] O.Y. Zhong-can; W. Helfrich Phys. Rev. A, 39 (1989) no. 10, p. 5280

[72] M.P. Sheetz; J.E. Sable; H.G. Döbereiner Annu. Rev. Biophys. Biomol. Struct., 35 (2006), p. 417

[73] W. Shyy; M. Francois; H.S. Udaykumar; N. N'dri; R. Tran-Son-Tay Appl. Mech. Rev., 54 (2001) no. 5, p. 405

[74] M. Herant; V. Heinrich; M. Dembo J. Cell Sci., 118 (2005), p. 1789

[75] M.R. King; D.A. Hammer Proc. Natl. Acad. Sci. USA, 98 (2001) no. 26, p. 14919

[76] M. Dembo; D. Torney; K. Saxman; D. Hammer Proc. R. Soc. London B, 234 (1988), p. 55

[77] S. Sukumaran; U. Seifert Phys. Rev. E, 64 (2001), p. 011916

[78] D. Wachsstock; W. Schwarz; T. Pollard Biophys. J., 66 (1994), p. 801

[79] P. Sollich Molecular Gels – Materials with Self-Assembled Fibrillar Networks (R.G. Weiss; P. Terech, eds.), Springer-Verlag, Netherlands, 2006, pp. 161-192

[80] G.T. Charras; M. Coughlin; T.J. Mitchison; L. Mahadevan Biophys. J., 94 (2008), p. 1836

[81] M. Dembo; F. Harlow Biophys. J., 50 (1986), p. 109

[82] F. Guilak; V.C. Mow J. Biomech., 33 (2000), p. 1663

[83] K. Kruse; J.F. Joanny; F. Jülicher; J. Prost; K. Sekimoto Phys. Rev. Lett., 92 (2004), p. 078101

[84] J. Condeelis Annu. Rev. Cell Biol., 9 (1993), p. 411

[85] T.P. Stossel Science, 260 (1993), p. 1086

[86] T.J. Mitchison; L.P. Cramer Cell, 84 (1996), p. 371

[87] M.P. Sheetz; D.P. Felsenfeld; C.G. Galbraith Trends Cell. Biol., 8 (1998), p. 51

[88] T.D. Pollard; G.G. Borisy Cell, 112 (2003), p. 453

[89] H.P. Grimm; A.B. Verkhovsky; A. Mogilner; J.J. Meister Eur. Biophys. J., 32 (2003), p. 563

[90] K. Kruse; J.F. Joanny; F. Jülicher; J. Prost Phys. Biol., 3 (2006), p. 130

[91] C.T. Mierke; D. Rösel; B. Fabry; J. Brábek Eur. J. Cell Biol., 87 (2008), p. 669

[92] D. Ambrosi; A. Duperray; V. Peschetola; C. Verdier J. Math. Biol., 58 (2009), p. 163

[93] T.A. Springer Cell, 76 (1994), p. 301

[94] C. Dong; J. Cao; E.J. Struble; H.H. Lipowsky Ann. Biomed. Eng., 27 (1999), p. 298

[95] C. Johnson-Léger; M. Aurrand-Lions; B.A. Imhof J. Cell Sci., 113 (2000), p. 921

[96] P.P. D'Avino; M.S. Savoian; D.M. Glover J. Cell Sci., 118 (2005), p. 1549

[97] X. He; M. Dembo Exp. Cell Res., 233 (1997), p. 252

[98] J.T. Butcher; A.M. Penrod; A.J. García; R.M. Nerem Arterioscler. Thromb. Vasc. Biol., 24 (2004), p. 1429

[99] N. Desprat; W. Supatto; P.A. Pouille; E. Beaurepaire; E. Farge Developmental Cell, 15 (2008), p. 470

[100] D. Choquet; D.P. Felsenfeld; M.P. Sheetz Cell, 88 (1997), p. 39

[101] C.S. Chen; J.L. Tan; J. Tien Annu. Rev. Biomed. Eng., 6 (2004), p. 275

[102] H. Fam; J.T. Bryant; M. Kontopoulou Biorheology, 44 (2007) no. 2, p. 59

[103] S.K. Lai; Y.Y. Wang; D. Wirtz; J. Hanes Adv. Drug. Deliv. Rev., 61 (2009) no. 2, p. 86

[104] J.R. Stokes; G.A. Davies Biorheology, 44 (2007) no. 3, p. 141

[105] G.R. Cokelet; E.W. Merrill; E.R. Gilliand; H. Shin; A. Britten; R. Wells Trans. Soc. Rheol., 7 (1963), p. 303

[106] S. Chien; S. Usami; H.M. Taylor; J.L. Lundberg; M.I. Gregersen J. Appl. Physiology, 21 (1966), p. 81

[107] S. Chien; S. Usami; R.J. Dellenback; M.I. Gregersen Science, 157 (1967), p. 827

[108] S. Chien; S. Usami; R.J. Dellenback; M.I. Gregersen; L.B. Nanninga; M. Mason-Guest Science, 157 (1967), p. 829

[109] M. Casson Rheology of Disperse Systems, Pergamon, Oxford, 1959

[110] C.W. Macosko Rheology, Principles, Measurements and Applications, Wiley–VCH, New York, 1994

[111] P. Snabre; P. Mills J. Phys. III. France, 6 (1996), p. 1811

[112] D. Quemada Eur. Phys. J. AP, 1 (1998), p. 119

[113] I.M. Krieger; T.J. Dougherty Trans. Soc. Rheol., III (1959), p. 137

[114] C. Misbah Phys. Rev. Lett., 96 (2006) no. 2, p. 028104

[115] G. Danker; T. Biben; T. Podgorski; C. Verdier; C. Misbah Phys. Rev. E, 76 (2007), p. 041905

[116] V. Vitkova; M.A. Mader; B. Polack; C. Misbah; T. Podgorski Biophys. J., 95 (2008) no. 6, p. L33

[117] A. Drochon Eur. Phys. J. AP, 22 (2003), p. 155

[118] R. Chotard-Ghodsnia; C. Verdier Modeling of Biological Materials (F. Mollica; L. Preziosi; K.R. Rajagopal, eds.), Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, 2007, pp. 1-32 (chap. 1)

[119] Y.C. Fung; S.Q. Liu; J.B. Zhou ASME J. Biomech. Eng., 115 (1993), p. 453

[120] R.W. Ogden Non-linear Elastic Deformations, Ellis Horwood, Chichester, UK, 1984

[121] J.D. Humphrey Proc. R. Soc. London A, 459 (2003), p. 3

[122] M. Kohandel; S. Sivaloganathan; G. Tenti; J.M. Drake Med. Eng. Phys., 28 (2006) no. 5, p. 449

[123] L.R.G. Treloar The Physics of Rubber Elasticity, Clarendon Press, Oxford, UK, 1975

[124] K. Miller Med. Sci. Monit., 6 (2000) no. 1, p. 158

[125] Y.C. Fung Biorheology, 10 (1973), p. 139

[126] J.E. Bischoff Ann. Biomed. Eng., 34 (2006) no. 7, p. 1164

[127] A.D. Drozdov; H. Khanina Math. Comput. Modelling, 25 (1997) no. 2, p. 11

[128] P. Kowalczyk J. Biomech., 36 (2003) no. 7, p. 961

[129] G.B. Jeffery Proc. R. Soc. London A, 102 (1922), p. 161

[130] V.C. Mow; W.M. Lai Annu. Rev. Fluid Mech., 11 (1979), p. 247

[131] V.C. Mow; A. Ratcliffe; S.L.Y. Woo Biomechanics of Diarthrodial Joints, Springer-Verlag, New York, 1990

[132] B.R. Simon Appl. Mech. Rev., 45 (1992), p. 191

[133] P. Tracqui Rep. Prog. Phys., 72 (2009), p. 056701

[134] D. Ambrosi; L. Preziosi Math. Mod. Meth. Appl. Sci., 12 (2002), p. 737

[135] C.J.W. Breward; H.M. Byrne; C. Lewis J. Math. Biol., 45 (2002), p. 125

[136] H.M. Byrne; J.R. King; D.L.S. McElwain; L. Preziosi Appl. Math. Lett., 16 (2003), p. 567

[137] H.M. Byrne; L. Preziosi Math. Med. Biol., 20 (2004), p. 341

[138] R. Araujo; D. McElwain SIAM J. Appl. Math., 65 (2005), p. 1261

[139] R.P. Araujo; D.L.S. McElwain SIAM J. Appl. Math., 65 (2005), p. 1285

[140] S. Astanin; L. Preziosi J. Theor. Biol., 258 (2009), p. 578

[141] S. Astanin; A. Tosin Math. Model. Nat. Phenom., 2 (2007), p. 153

[142] C.J.W. Breward; H. Byrne; C. Lewis Bull. Math. Biol., 65 (2003), p. 609

[143] M. Chaplain; L. Graziano; L. Preziosi Math. Med. Biol., 23 (2006), p. 197

[144] S.J. Franks; J.R. King Math. Med. Biol., 20 (2003), p. 47

[145] T.J. Jackson; H.M. Byrne Math. Biosci., 180 (2002), p. 307

[146] L. Preziosi; A. Tosin J. Math. Biol., 58 (2007), p. 625

[147] G. Lemon; J. King Math. Med. Biol., 24 (2007), p. 57

[148] Astanin L. Preziosi Selected Topics on Cancer Modelling: Genesis – Evolution – Immune Competition – Therapy (N. Bellomo; M. Chaplain; E.D. Angelis, eds.), Birkhäuser, 2008, pp. 223-253

[149] L. Graziano; L. Preziosi Modeling of Biological Materials (F. Mollica; L. Preziosi; K.R. Rajagopal, eds.), Birkhäuser, 2007, pp. 267-328

[150] S.J. Franks; H.M. Byrne; H.S. Mudhar; J.C.E. Underwood; C. Lewis Math. Med. Biol., 20 (2003), p. 277

[151] V. Cristini; H.B. Frieboes; X. Li; J. Lowengrub; P. Macklin; S. Sanga; S.M. Wise; X. Zheng Selected Topics on Cancer Modelling: Genesis – Evolution – Immune Competition – Therapy (N. Bellomo; M. Chaplain; E.D. Angelis, eds.), Birkhäuser, 2008

[152] V. Cristini; J. Lowengrub; Q. Nie J. Math. Biol., 46 (2003), p. 191

[153] J.C. Dunn; W.Y. Chan; V. Cristini; J.S. Kim; J. Lowengrub; S. Singh; B.M. Wu Tissue Eng., 12 (2006), p. 705

[154] H.B. Frieboes; J.S. Lowengrub; S. Wiseb; X. Zheng; P. Macklin; E. Bearer; V. Cristini Neuroimage, 37 (2007), p. S59-S70

[155] X. Li; V. Cristini; Q. Nie; J. Lowengrub Discr. Cont. Dyn. Sys. B, 7 (2007), p. 581

[156] P. Macklin; J. Lowengrub J. Theor. Biol., 245 (2007), p. 677

[157] P. Macklin; S. McDougall; A.R.A. Anderson; M.A.J. Chaplain; V. Cristini; J. Lowengrub J. Math. Biol., 58 (2009), pp. 765-798

[158] V. Cristini; X. Li; J.S. Lowengrub; S.M. Wise J. Math. Biol., 58 (2009) no. 4–5, pp. 723-763

[159] S.M. Wise; J. Lowengrub; H.B. Frieboes; V. Cristini J. Theor. Biol., 253 (2008), p. 524

[160] J. Galle; M. Loeffler; D. Drasdo Biophys. J., 88 (2005), p. 62

[161] D. Drasdo; S. Höhme; M. Block Journal of Statistical Physics, 128 (2007) no. 1, pp. 287-345

[162] M. Radszuweit; M. Block; J.G. Hengstler; E. Schöll; D. Drasdo Phys. Rev. E, 79 (2009), p. 051907

[163] H. Byrne; D. Drasdo J. Math. Biol., 58 (2009), p. 657

[164] J. Galle; L. Preziosi; A. Tosin Appl. Math. Lett., 22 (2009), p. 1483

[165] J. Galle; L. Preziosi (F. Giraldez; M.A. Herrero, eds.), Contemporary Mathematics, American Mathematical Society, 2009

[166] J.D. Humphrey; K.R. Rajagopal Math. Mod. Meth. Appl. Sci., 12 (2002), p. 407

[167] S. Baek; K.R. Rajagopal; J.D. Humphrey J. Biomech. Eng., 128 (2006), p. 142

[168] J.D. Humphrey; K.R. Rajagopal Biomech. Model. Mechanobiol., 2 (2003), p. 109

[169] I.J. Rao; J.D. Humphrey; K.R. Rajagopal Comp. Mod. Eng. Sci., 4 (2003), p. 439

[170] S.M. Klisch; A. Hoger Math. Mech. Solids, 8 (2003), p. 377

[171] E.K. Rodriguez; A. Hoger; A. McCulloch J. Biomech., 27 (1994), p. 455

[172] L.A. Taber; J.D. Humphrey J. Biomech. Eng., 123 (2001), p. 528

[173] I. Lin; L.A. Taber J. Biomech. Eng., 117 (1995), p. 343

[174] L.A. Taber; R. Perucchio J. Elasticity, 61 (2000), p. 165

[175] D. Ambrosi; A. Guillou; E.D. Martino Biomech. Model. Mechanobiol., 7 (2008), p. 63

[176] R.L. Gleason; J.D. Humphrey J. Vas. Res., 41 (2004), p. 352

[177] K. Garikipati; E.M. Arruda; K. Grosh; H. Narayanan; S. Calve J. Mech. Phys. Solids, 52 (2004), p. 1595

[178] D. Ambrosi; F. Mollica Int. J. Engng. Sci., 40 (2002), p. 1297

[179] D. Ambrosi; F. Mollica J. Math. Biol., 48 (2004), p. 477

[180] L. Preziosi, D. Ambrosi, C. Verdier, J. Theor. Biol. (2009), , in press | DOI

[181] G. Forgacs; R. Foty; Y. Shafrir; M. Steinberg Biophys. J., 74 (1998), p. 2227

[182] R.A. Foty; G. Forgacs; C.M. Pfleger; M.S. Steinberg Phys. Rev. Lett., 72 (1994), p. 2298

[183] R.A. Foty; G. Forgacs; C.M. Pfleger; M.S. Steinberg Development, 122 (1996), p. 1611

[184] B.S. Winters; S.R. Shepard; R.A. Foty Int. J. Cancer, 114 (2005), p. 371

[185] S. Astanin, K. Müller, J. Käs, J. Galle, L. Preziosi, (2009), submitted for publication

[186] D. Ambrosi; F. Guana Math. Mech. Solids, 12 (2007), p. 319

[187] A.D. Carlo; S. Quiligotti Mech. Res. Commun., 29 (2002), p. 449

[188] D. Ambrosi; K. Garikipati; H. Kuhl Oberwolfach Report, 5 (2009), p. 2220

[189] E. Kuhl; A. Menzel; P. Steinmann Comp. Mech., 32 (2003), p. 71

[190] G. Himpel; E. Kuhl; A. Menzel; P. Steinmann Comp. Meth. Eng. Sci., 8 (2005), p. 119

[191] D. Ambrosi; A. Guillou Cont. Mech. Thermodyn., 19 (2007), p. 245

[192] M. Tringelova; P. Nardinocchi; L. Teresi; A. DiCarlo Topics on Mathematics for Smart Systems (B. Miara; G.E. Stavroulakis; V. Valente, eds.), World Scientific, 2007, pp. 253-270

[193] M. Stolarska; Y.J. Kim; H. Othmer Phil. Trans. Roy. Soc. A, 367 (2009), pp. 3525-3553

[194] A. Iordan, Rheological properties of biological materials: From cell suspensions to tissues, Ph.D. thesis, Université Grenoble I, 2008

[195] E. Kuhl; K. Garikipati; E. Arruda; K. Grosh J. Mech. Phys. Solids, 53 (2005), p. 1552

[196] E. Kuhl; G.A. Holzapfel J. Math. Sci., 42 (2007), p. 8811

[197] D. Noble Science, 295 (2002) no. 5560, p. 1678

[198] S.R. Reboux; G.W. Richardson; O.E. Jensen Proc. Royal Soc. A, 464 (2008), p. 447

[199] J. Käfer; T. Hayashi; A.F.M. Marée; R.W. Carthew; F. Graner Proc. Natl. Acad. Sci. USA, 104 (2007) no. 47, p. 18549

[200] D. Caillerie; A. Mourad; A. Raoult ESAIM Math Mod. Num. Anal., 37 (2003) no. 4, p. 681

[201] T.C. Doehring; M. Kahelin; I. Vesely J. Biomech. Eng., 131 (2009), p. 061001

[202] O. Chaudhuri; S.H. Parekh; W.A. Lam; D.A. Fletcher Nat. Methods, 6 (2009) no. 5, p. 383

[203] R. Chotard-Ghodsnia; O. Haddad; A. Leyrat; A. Drochon; C. Verdier; A. Duperray J. Biomech., 40 (2007) no. 2, p. 335

[204] D.A. Lauffenburger; A.F. Horwitz Cell, 84 (1996) no. 3, p. 359

[205] M.P. Sheetz; D. Felsenfeld; C.G. Galbraith; D. Choquet Biochem. Soc. Symp., 65 (1999), p. 233

[206] J. Condeelis; J.W. Pollard Cell, 124 (2006) no. 2, p. 263

[207] T. Lämmermann; B.L. Bader; S.J. Monkley; T. Worbs; R. Wedlich-Söldner; K. Hirsch; M. Keller; R. Förster; D.R. Critchley; R. Fässler; M. Sixt Nature, 453 (2008) no. 7191, p. 51

[208] P. Friedl; S. Borgmann; E.B. Bröcker J. Leukoc. Biol., 70 (2001) no. 4, p. 491

[209] P. Friedl; K. Wolf Nature, 3 (2003), p. 362

[210] A. Chauvière; T. Hillen; L. Preziosi Networks Heterog. Media, 2 (2007) no. 2, p. 333

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