Multiscale modeling in computational biomechanics

IEEE Engineering in Medicine and Biology Magazine

Volumn 28, Issue 3, 2009, Pages 41-49

  Tawhai, Merryn ^a,g   Bischoff, Jeff ^b   Einstein, Daniel ^h   Erdemir, Ahmet ^h   Guess, Trent ^c,d   Reinbolt, Jeff ^e,f  

^a UNIVERSITY OF IOWA   (United States)

^b ZIMMER INC   (United States)

^c UNIVERSITY OF MISSOURI KANSAS CITY   (United States)

^d UMKC   (United States)

^e STANFORD UNIVERSITY   (United States)

^f Center for Physics Based Simulation of Biological Structures

^g UNIVERSITY OF AUCKLAND   (New Zealand)

^h NONE

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL PHENOMENA; BIOLOGICAL STRUCTURES; COMPUTATIONAL BIOMECHANICS; COMPUTATIONAL MODEL; COMPUTATIONAL PHYSIOLOGY; CONCURRENT SIMULATION; EXTRACELLULAR MATRICES; JOINT LOADING; MECHANOTRANSDUCTION; MOTOR CONTROL; MOVEMENT SIMULATION; MULTI-SCALE MODELING; MULTISCALE; SCALE PROPERTIES; SCALE SYSTEM; SCIENTIFIC DISCIPLINE; SPATIAL SCALE; TEMPORAL SCALE; TISSUE MECHANICS;

BIOLOGICAL ORGANS; BIOMECHANICS; ENZYME ACTIVITY; MUSCULOSKELETAL SYSTEM; RESPIRATORY SYSTEM; STRESS ANALYSIS;

BIOPHYSICS;

ARTICLE; COMPUTER MODEL; MECHANOTRANSDUCTION; MUSCULOSKELETAL SYSTEM; RESPIRATORY SYSTEM; SIMULATION;

BIOMECHANICS; BIOMEDICAL ENGINEERING; COMPUTATIONAL BIOLOGY; COMPUTER SIMULATION; HUMANS; MECHANOTRANSDUCTION, CELLULAR; MODELS, BIOLOGICAL; MUSCULOSKELETAL PHYSIOLOGICAL PROCESSES; RESPIRATORY PHYSIOLOGICAL PROCESSES; SOFTWARE; SYSTEMS BIOLOGY;

EID: 66249133375     PISSN: 07395175     EISSN: None     Source Type: Journal    
DOI: 10.1109/MEMB.2009.932489     Document Type: Article

References (76)

1. K. G. Wilson, "Problems in physics with many scales of length," Sci. Amer., vol. 241, pp. 158-179, Aug. 1979.
2. S. S. Blemker and S. L. Delp, "Rectus femoris and vastus intermedius fiber excursions predicted by three-dimensional muscle models," J. Biomech., vol. 39, no. 8, pp. 1383-1391, 2006.
3. A. D. Speirs, M. O. Heller, G. N. Duda, and W. R. Taylor, "Physiologically based boundary conditions in finite element modelling," J. Biomech., vol. 40, no. 10, pp. 2318-2323, 2007.
4. S. M. Cowan, P. W. Hodges, K. L. Bennell, and K. M. Crossley, "Altered vastii recruitment when people with patellofemoral pain syndrome complete a postural task," Arch. Phys. Med. Rehabil., vol. 83, no. 7, pp. 989-995, 2002.
5. E. Witvrouw, R. Lysens, J. Bellemans, D. Cambier, and G. Vanderstraeten, "Intrinsic risk factors for the development of anterior knee pain in an athletic population. A two-year prospective study," Amer. J. Sports Med., vol. 28, no. 4, pp. 480-489, 2000.
6. E. M. Wojtys, D. N. Beaman, R. A. Glover, and D. Janda, "Innervation of the human knee joint by substance-P fibers," Arthroscopy, vol. 6, no. 4, pp. 254-263, 1990.
7. E. Panagiotopoulos, P. Strzelczyk, M. Herrmann, and G. Scuderi, "Cadaveric study on static medial patellar stabilizers: The dynamizing role of the vastus medialis obliquus on medial patellofemoral ligament," Knee Surg. Sports Traumatol. Arthrosc., vol. 14, pp. 7-12, Jan. 2006.
8. J. H. Koolstra, "Dynamics of the human masticatory system," Crit. Rev. Oral Biol. Med., vol. 13, no. 4, pp. 366-376, 2002.
9. L. Y. Griffin, J. Agel, M. J. Albohm, E. A. Arendt, R. W. Dick, W. E. Garrett, J. G. Garrick, T. E. Hewett, L. Huston, M. L. Ireland, R. J. Johnson, W. B. Kibler, S. Lephart, J. L. Lewis, T. N. Lindenfeld, B. R. Mandelbaum, P. Marchak, C. C. Teitz, and E. M. Wojtys, "Noncontact anterior cruciate ligament injuries: Risk factors and prevention strategies," J. Amer. Acad. Orthop. Surg., vol. 8, pp. 141-150, May/June 2000.
10. International Working Group on the Diabetic Foot, International consensus on the diabetic foot, International Diabetes Federation, 1999.
11. S. Yagihashi, S. Yamagishi, and R. Wada, "Pathology and pathogenetic mechanisms of diabetic neuropathy: Correlation with clinical signs and symptoms," Diabetes Res. Clin. Pract., vol. 77, pp. S184-S189, 2007.
12. O. Y. Kwon, S. D. Minor, K. S. Maluf, and M. J. Mueller, "Comparison of muscle activity during walking in subjects with and without diabetic neuropathy," Gait Posture, vol. 18, pp. 105-113, Aug. 2003.
13. R. Loganathan, M. Bilgen, B. Al-Hafez, and I. V. Smirnova IV, "Characterization of alterations in diabetic myocardial tissue using high resolution MRI," Int. J. Cardiovasc. Imaging, vol. 22, pp. 81-90, Feb. 2006.
14. M. Lorenzi and C. Gerhardinger, "Early cellular and molecular changes induced by diabetes in the retina," Diabetologia, vol. 44, pp. 791-804, July 2001.
15. S. A. Bus, Q. X. Yang, J. H. Wang, M. B. Smith, R. Wunderlich, and P. R. Cavanagh, "Intrinsic muscle atrophy and toe deformity in the diabetic neuropathic foot: A magnetic resonance imaging study," Diabetes Care, vol. 25, pp. 1444-1450, Aug. 2002.
16. J. J. Fredberg and R. D. Kamm, "Stress transmission in the lung: Pathways from organ to molecule," Annu. Rev. Physiol., vol. 68, pp. 507-541, 2006.
17. S. J. Lai-Fook, T. A. Wilson, R. E. Hyatt, and J. R. Rodarte, "Elastic constants of inflated lobes of dog lungs," J. Appl. Physiol., vol. 40, no. 4, pp. 508-513, 1976.
18. J. M. Garcia-Aznar, J. H. Kuiper, M. J. Gomez-Benito, M. Doblare, and J. B. Richardson, "Computational simulation of fracture healing: Influence of interfragmentary movement on the callus growth," J. Biomech., vol. 40, no. 7, pp. 1467-1476, 2007.
19. J. Wolff, The Law of Bone Remodeling. Berlin: Springer-Verlag, 1986.
20. G. F. Oster, J. D. Murray, and A. K. Harris, "Mechanical aspects of mesen-chymal morphogenesis," J. Embryol. Exp. Morphol., vol. 78, pp. 83-125, 1983.
21. R. Huiskes, R. Ruimerman, G. H. van Lenthe, and J. D. Janssen, "Effects of mechanical forces on maintenance and adaptation of form in trabecular bone," Nature, vol. 405, no. 6787, pp. 704-706, 2000.
22. S. J. Shefelbine, P. Augat, L. Claes, and U. Simon, "Trabecular bone fracture healing simulation with finite element analysis and fuzzy logic," J. Biomech., vol. 38, no. 12, pp. 2440-2450, 2005.
23. S. C. Cowin, "Tissue growth and remodeling," Ann. Rev. Biomed. Eng., vol. 6, pp. 77-107, 2004.
24. R. L. Gleason and J. D. Humphrey, "Effects of a sustained extension on arterial growth and remodeling: A theoretical study," J. Biomech., vol. 38, no. 6, pp. 1255-1261, 2005.
25. K. Garikipati, J. E. Olberding, H. Narayanan, E. M. Arruda, K. Grosh, and S. Calve, "Biological remodelling: Stationary energy, configurational change, internal variables and dissipation," J. Mech. Phys. Solids, vol. 54, no. 7, pp. 1493-1515, 2006.
26. L. A. Taber and J. D. Humphrey, "Stress-modulated growth, residual stress, and vascular heterogeneity," J. Biomech. Eng., vol. 123, no. 6, pp. 528-535, 2001.
27. E. Kuhl, K. Garikipati, E. M. Arruda, and K. Grosh, "Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network," J. Mech. Phys. Solids, vol. 53, no. 7, pp. 1552-1573, 2005.
28. N. J. B. Driessen, G. W. M. Peters, J. M. Huyghe, C. V. C. Bouten, and F. P. T. Baaijens, "Remodeling of continuously distributed collagen fibers in soft connective tissues," J. Biomech., vol. 36, no. 8, pp. 1151-1158, 2003.
29. J. E. Bischoff, "Continuum approach for tissue remodeling mediated by matrix stiffness," presented at the ASME Summer Bioengineering Conf., Amelia Island, FL, 2006.
30. L. M. McNamara and P. J. Prendergast, "Bone remodelling algorithms incorporating both strain and microdamage stimuli," J. Biomech., vol. 40, no. 6, pp. 1381-1391, 2007.
31. V. A. Lubarda, "Constitutive theories based on the multiplicative decomposition of deformation gradient: Thermo elasticity, elastoplasticity, and biome-chanics," Appl. Mech. Rev., vol. 57, pp. 95-108, 2004.
32. V. H. Barocas and R. T. Tranquillo, "An anisotropic biphasic theory of tissue-equivalent mechanics: The interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance," J. Biomech. Eng., vol. 119, no. 2, pp. 137-145, 1997.
33. D. Ambard and P. Swider, "A predictive mechano-biological model of the bone-implant healing," Eur. J. Mech. A: Solids, vol. 25, no. 6, pp. 927-937, 2006.
34. Y.-S. J. Li, J. H. Haga, and S. Chien, "Molecular basis of the effects of shear stress on vascular endothelial cells," J. Biomech., vol. 38, no. 10, pp. 1949-1971, 2005.
35. J. D. Humphrey, "Stress, strain, and mechanotransduction in cells," J. Biomech. Eng., vol. 123, no. 6, pp. 638-641, 2001.
36. T. F. Besier, G. E. Gold, G. S. Beaupre, and S. L. Delp, "A modeling framework to estimate patellofemoral joint cartilage stress in vivo," Med. Sci. Sports Exerc., vol. 37, pp. 1924-1930, Nov. 2005.
37. F. Ezquerro, A. Simon, M. Prado, and A. Perez, "Combination of finite element modeling and optimization for the study of lumbar spine biomechanics considering the 3D thorax-pelvis orientation," Med. Eng. Phys., vol. 26, pp. 11-22, Jan. 2004.
38. M. G. Pandy, "Computer modeling and simulation of human movement," Annu. Rev. Biomed. Eng., vol. 3, pp. 245-273, 2001.
39. F. C. Anderson and M. G. Pandy, "A dynamic optimization solution for vertical jumping in three dimensions," Comput. Methods Biomech. Biomed. Eng., vol. 2, no. 3, pp. 201-231, 1999.
40. F. C. Anderson and M. G. Pandy, "Dynamic optimization of human walking," J. Biomech. Eng., vol. 123, no. 5, pp. 381-390, 2001.
41. A. J. van den Bogert and A. Erdemir, "Concurrent simulations of musculo-skeletal movements and tissue deformations," presented at the ASME Summer Bioengineering Conf., Keystone, CO, 20-24 June, 2007.
42. A. Erdemir, S. McLean, W. Herzog, and A. J. van den Bogert, "Model-based estimation of muscle forces exerted during movements," Clin. Biomech., vol. 22, pp. 131-154, Feb. 2007.
43. T. A. Wilson, "Nonuniform lung deformations," J. Appl. Physiol., vol. 54, no. 6, pp. 1443-1450, 1983.
44. J. B. West and F. L. Matthews, "Stresses, strains, and surface pressures in lung caused by its weight," J. Appl. Physiol., vol. 32, no. 3, pp. 332-345, 1972.
45. R. De Wilde, J. Clément, J. M. Hellemans, M. Decramer, M. Demedts, R. Boving, and K. P. Van de Woestijne, "Model of elasticity of the human lung," J. Appl. Physiol., vol. 51, no. 2, pp. 254-261, 1981.
46. Y. C. Fung, Biomechanics: Motion, Flow, Stress, and Growth, 1st ed. Berlin: Springer-Verlag, 1998, p. 429.
47. M. H. Tawhai, M. P. Nash, and E. A. Hoffman, "An imaging-based computational approach to model ventilation distribution and soft-tissue deformation in the ovine lung," Acad. Radiol., vol. 13, pp. 113-120, Jan. 2006.
48. H. Bachofen, P. Gehr, and E. R. Weibel, "Alterations of mechanical properties and morphology in excised rabbit lungs rinsed with a detergent," J. Appl. Physiol., vol. 47, no. 5, pp. 1002-1010, 1979.
49. T. A. Wilson and H. Bachofen, "A model of mechanical structure of alveolar duct," J. Appl. Physiol., vol. 52, no. 4, pp. 1064-1070, 1982.
50. E. Denny and R. C. Schroter, "A model of non-uniform lung parenchyma distortion," J. Biomech., vol. 39, no. 4, pp. 652-663, 2006.
51. S. L. Delp, F. C. Anderson, A. S. Arnold, P. Loan, A. Habib, C. T. John, E. Guendelman, and D. G. Thelen, "OpenSim: open-source software to create and analyze dynamic simulations of movement," IEEE Trans. Biomed. Eng., vol. 54, pp. 1940-1950, Nov. 2007.
52. FEBio, Finite Elements for Biomechanics, Musculoskeletal Research Laboratories, University of Utah. (2007, 14 Nov.). [Online]. Available: http://mrl.sci.u-tah.edu/software.php
53. H. Si, "Adaptive tetrahedral mesh generation by constrained Delaunay refinement," Int. J. Numer. Meth. Eng., vol. 75, no. 7, pp. 856-880, Aug. 2008.
54. M. Sopics, "Taking on the ITER challenge, scientists look to innovative algorithms, petascale computers," SIAM News, vol. 39, no. 7, pp. 1-3, 2006.
55. A. P. Kuprat and D. R. Einstein, "An anisotropic scale-invariant unstructured tetrahedral mesh generation algorithm based on local feature size," J. Computat. Phys., vol. 228, no. 3, pp. 619-640, 2008.
56. A. P. Kuprat and S. J. Mosso, "Volume conserving smoothing for piecewise linear curves, surfaces, and triple lines," J. Computat. Phys., vol. 172, no. 1, pp. 99-118, 2001.
57. A. P. Kuprat and S. J. Mosso, "Efficient algorithms for mapping cell quantities between overlapped 3D unstructured meshes," Los Alamos National Laboratory Report, Los Alamos, NM, 2005.
58. R. A. Burton, G. Plank, J. E. Schneider, V. Grau, H. Ahammer, S. L. Keeling, J. Lee, N. P. Smith, D. Gavaghan, N. Trayanova, and P. Kohl, "Three-dimensional models of individual cardiac histoanatomy: Tools and challenges," Ann. N. Y. Acad. Sci., vol. 1080, pp. 301-319, Oct. 2006.
59. T. Ju, J. Warren, J. Carson, M. Bello, I. Kakadiaris, W. Chiu, C. Thaller, and G. Eichele, "3D volume reconstruction of a mouse brain from histological sections using warp filtering," J. Neurosci. Methods, vol. 156, no. 1-2, pp. 84-100, 2006.
60. J. P. Carson, G. Eichele, and W. Chiu, "A method for automated detection of gene expression required for the establishment of a digital transcriptome-wide gene expression atlas," J. Microsc., vol. 217, no. 3, pp. 275-281, 2005.
61. J. P. Carson, T. Ju, H. C. Lu, C. Thaller, M. Xu, S. L. Pallas, M. C. Crair, J. Warren, W. Chiu, and G. Eichele, "A digital atlas to characterize the mouse brain transcriptome," PLoS Comput. Biol., vol. 1, no. 4, p. e41, 2005.
62. Allen Institute for Brain Science. (2007, Nov. 14). [Online]. Available: http://www.brain-map.org
63. ITK, Insight Segmentation and Registration Toolkit, Kitware, Inc. (2007, Nov. 13). [Online]. Available: http://www.itk.org
64. 3D Slicer, Brigham and Women's Hospital and 3D Slicer Contributors. (2007, Nov. 13). [Online]. Available: http://www.slicer.org
65. ParaView, Open Source Scientific Visualization, Kitware, Inc. (2007, Nov. 13). [Online]. Available: http://www.paraview.org, Nov. 13, 2007.
66. SimTK, The Simulation Toolkit, NIH Center for Biomedical Computation at Stanford. (2007, Nov. 13). [Online]. Available: http://www.simtk.org
67. CGNS Steering Committee. (2007, Nov. 13). [Online]. Available: http:// cgns.sourceforge.net.
68. R. G. Breuls, B. G. Sengers, C. W. Oomens, C. V. Bouten, and F. P. Baaijens, "Predicting local cell deformations in engineered tissue constructs: a multilevel finite element approach," J. Biomech. Eng., vol. 124, pp. 198-207, Apr. 2002.
69. W. J. Roux, N. Stander, and R. T. Haftka, "Response surface approximations for structural optimization," Int. J. Numer. Meth. Eng., vol. 42, no. 3, pp. 517- 534, 1998.
70. P. Lancaster and K. Salkauskas, "Surfaces generated by moving least squares methods," Math. Computat., vol. 37, no. 155, pp. 141-158, 1981.
71. I. García, J. D. Martín-Guerrero, E. Soria-Olivas, R. J. Martínez, S. Rueda, and R. Magdalena, "A neural network approach for real time collision detection," in Proc. IEEE Int. Conf. on Systems, Man and Cybernetics, 2002, p. 5.
72. M. Kia and T. M. Guess, "The study of Menisci effect in a computational knee model," in presented at the 6th Combined Meeting of the Orthopaedic Research Societies, Honolulu, HI, October 2007.
73. C. G. Atkeson, A. W. Moore, and S. Schaal, "Locally weighted learning," Artif. Intell. Rev., vol. 11, no. 1-5, pp. 11-73, 1997.
74. IMAG Wiki, IMAG (Interagency Modeling and Analysis Group) and MSM (Multi-scale Modeling Consortium). (2007, Nov. 13). [Online]. Available: http://www.imagwiki.org/mediawiki/index.php?title=Main-Page
75. MediaWiki, Wikimedia Foundation. (2007, Nov. 13). [Online]. Available: http://www.mediawiki.org
76. M. Tawhai, J. Bischoff, D. Einstein, A. Erdemir, T. Guess, and J. Reinbolt, "Multiscale modeling in computational biomechanics: Determining computational priorities and addressing current challenges," . [Online]. (2007, Apr. 27). Available: http://www.imagwiki.org/mediawiki/index.php?title= IEEE-EMBS-Article