A continuum model for remodeling in living structures

Journal of Materials Science

Volumn 42, Issue 21, 2007, Pages 8811-8823

  Kuhl, Ellen ^a   Holzapfel, Gerhard A ^b,c  

^a Stanford University   (United States)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^c GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COLLAGEN; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MICROSTRUCTURE; TISSUE;

CAUCHY STRESS; COLLAGEN FIBER REORIENTATION; CONTINUUM MODEL; MECHANICAL LOADING; ORTHOTROPIC UNIT CELL; UNIAXIAL LOADING;

LIVING SYSTEMS STUDIES;

EID: 34548389361     PISSN: 00222461     EISSN: 15734803     Source Type: Journal    
DOI: 10.1007/s10853-007-1917-y     Document Type: Article

References (55)

1. Alberts B, Johnson A, Lewis J, Raff M, Roberts K, Walter P (2002) Molecular biology of the cell, 4th edn. Garland Science Taylor Francis Group, New York
2. Arruda EM, Boyce MC (1993) J Mech Phys Solids 41:389
3. Bischoff JE, Arruda EM, Grosh K (2002) J Appl Mech 69:570
4. Bischoff JE, Arruda EM, Grosh K (2002) J Appl Mech 69:198
5. Boyce MC (1996) Rubber Chem Technol 69:781
6. Boyce MC, Arruda EM (2000) Rubber Chem Technol 73:504
7. Bustamante C, Bryant Z, Smith SB (2003) Nature 421:423
8. Bustamante C, Smith S, Marko JF, Siggia ED (1994) Science 265:1599
9. Cowin SC (1984) Calc Tissue Int 36:S99
10. Cowin SC (1995) J Elast 34:45
11. Driessen NJB, Bouten CVC, Baaijens FPT (2005) J Biomech Eng 127:494
12. Driessen NJB, Peters GWM, Huyghe JM, Bouten CVC, Baaijens FPT (2003) J Biomech 36:1151
13. Driessen NJB, Wilson W, Bouten CVC, Baaijens FPT (2004) J Theor Biol 36:53
14. Elbischger PJ, Bischof H, Holzapfel GA, Regitnig P (2005) In: Suri JS, Yuan C, Wilson DL, Laxminarayan S (eds) Plaque imaging: pixel to molecular level, vol 113. Studies in Health Technology and Informatics, IOS Press, p 97
15. Elbischger PJ, Bischof H, Regitnig P, Holzapfel GA (2004) Pattern Anal Appl 7:269
16. Finlay HM, Mc Cullough L, Canham PB (1995) J Vasc Res 32:301
17. Flory PJ (1969) Statistical mechanics of chain molecules. John Wiley Sons, Chichester-New York
18. Freed AD, Einstein DR, Vesely I (2005) Biomech Model Mechanobiol 4:100
19. Garikipati K, Arruda EM, Grosh K, Narayanan H, Calve S (2004) J Mech Phys Solids 52:1595
20. Garikipati K, Olberding JE, Narayanan H, Arruda EM, Grosh K, Calve S (2006) J Mech Phys Solids 54:1493
21. Gasser TC, Ogden RW, Holzapfel GA (2006) J R Soc Interface 3:15
22. Gleason RL, Humphrey JD (2004) J Vasc Res 41:352
23. Gleason RL, Humphrey JD (2005) Math Med Biol 22:347
24. Hagerman PJ (1988) Annu Rev Biophys Biophys Chem 17:265
25. Hariton I, de Botton G, Gasser TC, Holzapfel GA (2006) Biomechanics and modeling in mechanobiology, pp available online, DOI 10.1007/s10237-006-0049-7
26. Himpel G, Menzel A, Kuhl E, Steinmann P (2007) Int J Num Meth Eng, in press
27. Holzapfel GA, Gasser TC, Stadler M (2002) European J Mech A Solids 21:441
28. Holzapfel GA, Ogden RW (2003) Biomechanics of soft tissue in cardiovascular systems CISM courses and lectures no 441. Springer Verlag, Wien-New York
29. Holzapfel GA, Ogden RW (2006) mechanics of biological tissue. Springer, Berlin-Heidelberg-New York
30. Holzapfel GA, Stadler M, Schulze-Bauer CAJ (2002) Ann Biomed Eng 30:753
31. Huang H, Kamm R, Lee RT (2003) Am J Physiol Cell Physiol 287:C1
32. Humphrey JD (2001) J Biomech Eng 123:638
33. Humphrey JD (2002) Cardiovasular solid mechanics. Springer Verlag, Berlin-Heidelberg-New York
34. Ingber DE (2003) Ann Intern Med 35:564
35. Klein-Nulend J, Bacabac RG, Mullender MG (2005) Pathol Biol (Paris) 53:576
36. Kratky O, Porod G (1949) Recl Trav Chim 68:1106
37. Kuhl E, Garikipati K, Arruda EM, Grosh K (2005) J Mech Phys Solids 53:1552
38. Kuhl E, Maas R, Himpel G, Menzel A (2006) Biomechanics and modeling in mechanobiology, pp available online, DOI 10.1007/s10237-006-0062-x
39. Kuhl E, Menzel A, Garikipati K (2006) Phil Mag 86:3241
40. Lehoux S, Castier Y, Tedgui A (2006) J Intern Med 259:381
41. Leung DYM, Glagov S, Mathews MB (1976) Science 191:475
42. Leung DYM, Glagov S, Mathews MB (1977) Circ Res 41:316
43. Lubarda VA, Hoger A (2002) Int J Solids Struct 39:4627
44. Marko JF, Siggia ED (1995) Macromolecules 28:8759
45. Menzel A (2006) In: Holzapfel GA, Ogden RW (eds) IUTAM Symposium mechanics of biological tissue. Springer Verlag, p 91
46. Menzel A (2005) Biomech Model Mechanobiol 3:147
47. Mofrad MRK, Kamm R (eds) (2006) Cytoskeletal mechanics models and measurements. Cambridge University Press
48. Nerem RM, Seliktar D (2001) Annu Rev Biomed Eng 3:225
49. Rodriguez EK, Hoger A, Mc Culloch AD (1994) J Biomech 27:455
50. Stopak D, Harris AK (1982) Dev Biol 90:383
51. Sun YL, Luo ZP, Fertala A, An KN (2002) Biochem Biophys Res Commun 295:382
52. Taber LA, Humphrey JD (2001) J Biomech Eng 123:528
53. Treloar LRG (1975) The physics of rubber elasticity. Clarendon Press, Oxford
54. Vianello M (1996) J Elast 42:283
55. Wang JH, Thampatty BP (2006) Biomech Model Mechanobio 5:1