Papillary networks in the dermal-epidermal junction of skin: A biomechanical model

Mechanics Research Communications

Volumn 42, Issue , 2012, Pages 68-76

  Ciarletta, Pasquale ^a   Ben Amar, Martine ^b  

^a INSTITUT JEAN LE ROND D ALEMBERT   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Anisotropy; Elastic bilayers; Elastic stability; Skin; Volumetric growth

Indexed keywords

BI-LAYER; BIOMECHANICAL MODEL; BOUNDARY VALUES; COMPLEX NETWORKS; DERMAL PAPILLA; DERMAL-EPIDERMAL JUNCTIONS; ELASTIC PROBLEMS; ELASTIC STABILITY; GEOMETRICAL CONSTRAINTS; HUMAN SKIN; INTERFACIAL INSTABILITY; LAYERED MATERIAL; MECHANICAL INTERPRETATIONS; MICRO PATTERN; MICROSTRUCTURAL PROPERTIES; PATHOLOGICAL CONDITIONS; STREAMFUNCTIONS; VARIATIONAL FORMULATION; VOLUMETRIC GROWTH;

ANISOTROPY; MECHANICAL PROPERTIES; SKIN;

BIOMECHANICS;

EID: 84860754868     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2011.12.001     Document Type: Article

References (29)

1. Agache P.G., Monneur C., Leveque J.L., and De Rigal J. Mechanical properties and Young's modulus of human skin in vivo Arch. Dermatol. Res. 269 1980 221 232
2. Babler W.J. Embryologic development of epithelial ridges and their configurations Birth Defects Orig. 27 02 1991 95 112
3. Basan M., Joanny J.F., Prost J., and Risler M. Undulation instability of epithelial tissues Phys. Rev. Lett. 106 2011 158101
4. Ben Amar M., and Ciarletta P. Swelling instability of surface-attached gels as a model for soft tissue growth under geometric constraints J. Mech. Phys. Solids 58 2010 935 954
5. Biot M.A. Surface instability of rubber in compression Appl. Sci. Res. A 12 1963 168 182
6. Buganza Tepole A., Ploch C.J., Wong J., Gosain A.K., and Kuhl E. Growing skin: a computational model for skin expansion in reconstructive surgery J. Mech. Phys. Solids 59 2011 2177 2190
7. Chan L.S. Human skin basement membrane in health and in autoimmune diseases Front. Biosci. 2 1997 d343 352
8. Candiello J., Balasubramani M., Shreiber E.M., Cole G.J., Mayer U., Halfter W., and Lin H. Biomechanical properties of native basement membranes FEBS J. 274 2007 2897 2908
9. Ciarletta, P., Ben Amar, M. Growth instabilities and folding in tubular organs: a variational method in nonlinear elasticity, Int. J. Non-linear Mech., doi:10.1016/j.ijnonlinmec.2011.05.013, in press.
10. Ciarletta P., Izzo I., Micera S., and Tendick F. Stiffening by fiber reinforcement in soft materials: a hyperelastic theory at large strains and its application J. Biomech. Behavior Biomed. Mater. 4 2011 1359 1368
11. Ciarletta P. Generating functions for volume-preserving transformations Int. J. Non-linear Mech. 46 9 2011 1275 1279
12. Crichton M.L., Donose B.C., Chen X., Raphael A.P., Huang H., and Kendall M.A. The viscoelastic, hyperelastic and scale dependent behaviour of freshly excised individual skin layers Biomaterials 32 2011 4670 4681
13. Dervaux J., and Ben Amar M. Buckling condensation in constrained growth J. Mech. Phys. Solids 59 2011 538 560
14. J. Dervaux, and M. Ben Amar Mechanical instabilities of gels Annu. Rev. Condens. Matter Phys. 3 2012 9.1 9.22
15. Efimenko K., Rackaitis M., Manias E., Vaziri A., Mahadevan L., and Genzer J. Nested self-similar wrinkling patterns in skin Nat. Mater. 4 2005 293 297
16. Holzapfel G.A., and Ogden R.W. Constitutive modeling of arteries Proc. R. Soc. A: Math. Phys. 466 2010 1551 1597
17. Hong W., Liu Z., and Suo Z. Formation of creases on the surfaces of elastomers and gels Appl. Phys. Lett. 95 2009 111901
18. Iizuka H., Honda H., and Ishida-Yamamoto A. Epidermal remodeling in psoriasis (III): a hexagonally-arranged cylindrical papilla model reveals the nature of psoriatic architecture J. Dermatol. Sci. 21 1999 105 112
19. Kucken M., and Newell A.C. Fingerprint formation J. Theor. Biol. 235 2005 71 83
20. Langer K. On the anatomy and physiology of the skin: I. the cleavability of the cutis Br. J. Plast. Surg. 31 1 1978 3 8
21. Murray J.D., and Cruywagen G.C. Threshold bifurcation in tissue interaction models for spatial pattern generation Phil. Trans. R. Soc. Lond. A 347 1994 661 676
22. Ogden R.W. Non-linear Elastic Deformations 1997 Dover New York
23. Okajima M. Development of dermal ridges in the fetus J. Med. Genet. 12 1975 243 250
24. Pellacani G., Cesinaro A.M., Longo C., Grana C., and Seidenari S. Microscopic in-vivo description of cellular architecture of dermoscopic pigment network in nevi and melanomas Arch. Dermatol. 141 2005 147 154
25. Richman D.P., Stewart R.M., Hutchinson J.W., and Caviness W.S. Mechanical model of brain convolutional development Science 189 1975 18 21
26. Rodriguez E.K., Hoger A., and McCulloch A. Stress-dependent finite growth in soft elastic tissues J. Biomech. 27 1994 455 467
27. Sultan E., and Boudaoud A. The buckling of a swollen thin gel layer bound to a compliant substrate J. Appl. Mech. 75 2008 051002
28. Trujillo V., Kim J., and Hayward R.C. Creasing instability of surface-attached hydrogels Soft Matter 4 2008 564 569
29. Wang Q., Zhang L., and Zhao X. Creasing to cratering instability in polymers under ultrahigh electric fields Phys. Rev. Lett. 106 2011 118301