The role of mechanics during brain development

Journal of the Mechanics and Physics of Solids

Volumn 72, Issue , 2014, Pages 75-92

  Budday, Silvia ^a   Steinmann, Paul ^a   Kuhl, Ellen ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b STANFORD UNIVERSITY   (United States)

Author keywords

Brain development; Cortical folding; Growth; Instabilities; Thin films

Indexed keywords

BRAIN; COMPUTATION THEORY; COMPUTATIONAL METHODS; CONTINUUM MECHANICS; CONVOLUTION; DISEASES; FORECASTING; GROWTH (MATERIALS); MAMMALS; MORPHOLOGY; NEUROLOGY; STABILITY; SURFACE MORPHOLOGY; THIN FILMS;

ANALYTICAL ESTIMATES; ASYMMETRIC PATTERNS; BRAIN DEVELOPMENT; COMPUTATIONAL MODEL; CORTICAL FOLDING; CRITICAL CONDITION; MECHANISTIC INTERPRETATIONS; NEUROLOGICAL DISORDERS;

ANALYTICAL MODELS;

EID: 84908409742     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2014.07.010     Document Type: Article

References (71)

1. H.G. Allen Analysis and Design of Structural Sandwich Panels 1969 Pergamon Press Oxford
2. D. Ambrosi, and F. Mollica On the mechanics of a growing tumor Int. J. Eng. Sci. 40 2002 1297 1316
3. D. Ambrosi, G.A. Ateshian, E.M. Arruda, S.C. Cowin, J. Dumais, A. Goriely, G.A. Holzapfel, J.D. Humphrey, R. Kemkemer, E. Kuhl, J.E. Olberding, L.A. Taber, and K. Garikipati Perspectives on biological growth and remodeling J. Mech. Phys. Solids. 59 2011 863 883
4. B. Audoly, and A. Boudaoud Buckling of a stiff film bond to a compliant substrate - Part I formulation, linear stability of cylindrical patterns, secondary bifurcations J. Mech. Phys. Solids 56 2008 2401 2421
5. B. Audoly, and A. Boudaoud Buckling of a stiff film bond to a compliant substrate - Part II a global scenario for the formation of herringbone pattern J. Mech. Phys. Solids 56 2008 2422 2443
6. P.V. Bayly, R. Okamoto, G. Xu, Y. Shi, and L.A. Taber A cortical folding model incorporating stress-dependent growth explains gyral wavelengths and stress patterns in the developing brain Phys. Biol. 10 2013 016005
7. P.V. Bayly, L.A. Taber, and C.D. Kroenke Mechanical forces in cerebral cortical folding a review of measurements and models J. Mech. Behav. Biomed. Mater. 29 2014 568 581
8. M. BenAmar, and A. Goriely Growth and instability in elastic tissues J. Mech. Phys. Solids 53 2005 2284 2319
9. M.A. Biot Bending of an infinite beam on an elastic foundation J. Appl. Mech. 59 1937 A1 A7
10. M.A. Biot Folding instability of a layered viscoelastic medium under compression Proc. R. Soc. London A 242 1957 444 454
11. D. Bray Axonal growth in response to experimentally applied mechanical tension Dev. Biol. 102 1984 379 389
12. S. Budday, C. Raybaud, and E. Kuhl A mechanical model predicts morphological abnormalities in the developing human brain Sci. Reports 4 2014 5644
13. A. Buganza Tepole, C.J. Ploch, J. Wong, A.K. Gosain, and E. Kuhl Growing skin - a computational model for skin expansion in reconstructive surgery J. Mech. Phys. Solids 59 2011 2177 2190
14. S. Cai, D. Breid, A.J. Crosby, Z. Suo, and J.W. Hutchinson Periodic patterns and energy states of buckled thin films on compliant substrates J. Mech. Phys. Solids 59 2011 1094 1114
15. Y. Cao, and J.W. Hutchinson From wrinkles to creases in elastomers the instability and imperfection-sensitivity of wrinkling Proc. R. Soc. A 468 2012 94 115
16. Y. Cao, and J.W. Hutchinson Wrinkling phenomena in Neo-Hookean film/substrate bilayers J. Appl. Mech. 79 2012 031019.1 031019.9
17. S. Chada, P. Lamoureux, R.E. Buxbaum, and S.R. Heidemann Cytomechanics of neurite outgrowth from chick brain neurons J. Cell Sci. 110 1997 1179 1186
18. A.F. Christ, K. Franze, H. Gautier, P. Moshayedi, J. Fawcell, R.J.M. Franklin, R.T. Karadottir, and J. Guck Mechanical differences between white and gray matter in the rat cerebellum measured by scanning force microscopy J. Biomech. 43 2010 2986 2992
19. K. Chung, and K. Deisseroth CLARITY for mapping the nervous system Nat. Methods 10 2013 508 513
20. T.J. Dennerll, P. Lamoureux, R.E. Buxbaum, and S.R. Heidemann The cytomechanics of axonal elongation and retraction J. Cell Biol. 109 1989 3073 3083
21. J. Dervaux, P. Ciarletta, and M. BenAmar Morphogenesis of thin hyperelastic plates a constitutive theory of biological growth in the Föppl-von Kármán limit J. Mech. Phys. Solids 57 2009 458 471
22. M. Eskandari, M.R. Pfaller, and E. Kuhl On the role of mechanics in chronic lung disease Materials 6 2013 5639 5658
23. A. Föppl Vorlesungen über technische Mechanik vol. 5 1907 B.G. Teubner Leipzig
24. Franceschini, G., 2006, The Mechanics of Human Brain Tissue. Modelling, Preservation and Control of Materials and Structures. Ph.D. Thesis. University of Trento.
25. G. Franceschini, D. Bigoni, P. Regitnig, and G.A. Holzapfel Brain tissue deforms similarly to filled elastomers and follows consolidation theory J. Mech. Phys. Solids 54 2006 2592 2620
26. K. Garikipati The kinematics of biological growth Appl. Mech. Rev. 62 2009 030801.1 030801.7
27. D.H. Geschwind, and P. Rakic Cortical evolution: Judge the brain by its cover Neuron 80 2013 633 647
28. S. Göktepe, O.J. Abilez, and E. Kuhl A generic approach towards finite growth with examples of athletes heart, cardiac dilation, and cardiac wall thickening J. Mech. Phys. Solids 58 2010 1661 1680
29. S. Herculano-Houzel The human brain in numbers a linearly scaled-up primate brain Front. Hum. Neurosci. 3 2009 31.1 31.11
30. Hatten, M.E., 1999. Central nervous system neuronal migration. Annu. Rev. Neurosci. 22511-22539.
31. M.A. Hofman On the evolution and geometry of the brain in mammals Prog. Neurobiol. 32 1989 137 158
32. M.A. Holland, T. Kosmata, A. Goriely, and E. Kuhl On the mechanics of thin films and growing surfaces Math. Mech. Solids 18 2013 561 575
33. R. Huang Kinetic wrinkling of an elastic film on a viscoelastic substrate J. Mech. Phys. Solids 53 2005 63 89
34. A.K. Knutsen, C.D. Kroenke, Y.V. Chang, L.A. Taber, and P.V. Bayly Spatial and temporal variations of cortical growth during gyrogenesis in the developing ferret brain Cereb. Cortex 23 2013 488 498
35. E. Kuhl Growing matter - a review of growth in living systems J. Mech. Behav. Biomed. Mater. 29 2014 529 543
36. P. Landrieu, B. Husson, D. Pariente, and C. Lacroix MRI-neuropathological correlations in type 1 lissencephaly Neuroradiology 40 1998 173 176
37. W.E. Le Gros Clark Deformation patterns in the cerebral cortex W.E. Le Gross Clark, P.B. Medawar, Essays on Growth and Form 1945 Oxford University Press London 1 22
38. B. Li, Y.P. Cao, X.Q. Feng, and H. Gao Surface wrinkling of mucosa induced by volumetric growth theory, simulation and experiment J. Mech. Phys. Solids 59 2011 758 774
39. B. Li, Y.P. Cao, X.Q. Feng, and H. Gao Mechanics of morphological instabilities and surface wrinkling in soft materials a review Soft Matter 8 2012 5728 5745
40. V.A. Lubarda Constitutive theories based on the multiplicative decomposition of deformation gradient thermoelasticity, elastoplasticity, and biomechanics Appl. Mech. Rev. 57 2004 95 108
41. A. Menzel, and E. Kuhl Frontiers in growth and remodeling Mech. Res. Commun. 42 2012 1 14
42. S. Mori, and J. Zhang Principles of diffusion tensor imaging and its applications to basic neuroscience research Neuron 51 2006 527 539
43. D.E. Moulton, and A. Goriely Circumferential buckling instability of a growing cylindrical tube J. Mech. Phys. Solids 59 2011 525 537
44. J. Nie, L. Guo, C. Faraco, L.S. Miller, and T. Liu A computational model of cerebral cortex folding J. Theor. Biol. 264 2010 467 478
45. R. Nieuwenhuys, H.J. Donkelaar, and C. Nicholson The Central Nervous System of Vertebrates 1997 Springer-Verlag Berlin
46. A. Papastavrou, P. Steinmann, and E. Kuhl On the mechanics of continua with boundary energies and growing surfaces J. Mech. Phys. Solids 61 2013 1446 1463
47. P. Rakic Specification of cerebral cortical areas Science 241 1988 170 176
48. B. Rashid, M. Destrade, and M.D. Gilchrist Mechanical characterization of brain tissue in compression at dynamic strain rates J. Mech. Behav. Biomed. Mater. 10 2012 23 38
49. B. Rashid, M. Destrade, and M.D. Gilchrist Mechanical characterization of brain tissue in tension at dynamic strain rates J. Mech. Behav. Biomed. Mater. 33 2014 43 54
50. M.K. Rausch, and E. Kuhl On the mechanics of growing thin biological membranes J. Mech. Phys. Solids 63 2014 128 140
51. C. Raybaud, and E. Widjaja Development and dysgenesis of the cerebral cortex malformations of cortical development Neuroimaging Clin. N. Am. 21 2011 483 543
52. D.P. Richman, R.M. Stewart, J.W. Hutchinson, and V.S. Caviness Mechanical model of brain convolutional development Science 189 1975 18 21
53. E.K. Rodriguez, A. Hoger, and A.D. McCulloch Stress-dependent finite growth in soft elastic tissues J. Biomech. 27 1994 455 467
54. G. Roth, and U. Dicke Evolution of the brain and intelligence Trends Cogn. Sci. 9 2005 250 257
55. L. Ronan, N. Voets, C. Rua, A. Alexander-Block, M. Hough, C. Mackay, T.J. Crow, A. James, J.N. Giedd, and P.C. Fletcher Differential tangential expansion as a mechanism for cortical gyrification Cereb. Cortex 24 2014 2219 2228
56. H. Schmid, L. Pauli, A. Paulus, E. Kuhl, and M. Itskov Consistent formulation of the growth process at the kinematic and constitutive level for soft tissues composed of multiple constituents Comput. Methods Biomech. Biomed. Engin. 15 2012 547 561
57. P.A. Schwartzkroin, and C.A. Walsh Cortical malformations and epilepsy Ment. Retard. Dev. Disabil. Res. Rev. 6 2000 268 280
58. G. Soza, R. Grosso, C. Nimsky, P. Hastreiter, R. Fahlbusch, and G. Greiner Determination of the elastic parameters of brain tissue with combined simulation and registration Int. J. Med. Robot. Comp. Assist. Surg. 1 2005 87 95
59. T. Sun, and R.F. Hevner Growth and folding of the mammalian cerebral cortex from molecules to malformations Nat. Rev. Neurosci. 15 2014 217 232
60. Tortori-Donati, P., Rossi, A., Biancheri, R., 2005. Brain malformations. In: Pediatric Neuroradiology. Springer, Berlin, Heidelberg, pp. 71-198.
61. van Dommelen, J.A.W., vanderSande, T.P.J., Hrapko, M., Peters, G.W.M., Mechanical properties of brain tissue by indentation: interregional variation. J. Mech. Behav. Biomed. Mater. 3, 158-166.
62. D.C. Van Essen A tension-based theory of morphogenesis and compact wiring in the central nervous system Nature 385 1997 313 318
63. von Kármán, T., 1910. Festigkeitsproblem im Maschinenbau. Encyklopadie der Mathematischen Wissenschaftler, vol. 4, pp. 311-385.
64. G. Xu, A.K. Knutsen, K. Dikranian, C.D. Kroenke, P.V. Bayly, and L.A. Taber Axons pull on the brain, but tension does not drive cortical folding J. Biomech. Eng. 132 2010 071013
65. Welker, W., Johnson, I.J., Noe, A., Comparative mammalian brain collections. http://brainmuseum.org.
66. W. Welker Why does cerebral cortex fissure and fold? A review of determinants of gyri and sulci E.G. Jones, A. Peters, Cerebral Cortex vol. 8B 1990 Springer Science+Business Media New York
67. J. Zang, X. Zhao, Y. Cao, and J.W. Hutchinson Localized ridge wrinkling of stiff films on compliant substrates J. Mech. Phys. Solids 60 2012 1265 1279
68. J. Zhang, M.M. Michalenko, E. Kuhl, and T.C. Ovaert Characterization of indentation response and stiffness reduction of bone using a continuum damage model J. Mech. Behav. Biomed. Mater. 3 2010 189 202
69. K. Zilles, E. Armstrong, A. Schleicher, and H.J. Kretschmann The human pattern of gyrification in the cerebral cortex Anat. Embryol. 179 1988 173 179
70. K. Zilles, N. Palomero-Gallagher, and K. Amunts Development of cortical folding during evolution and onotogeny Trends Neurosci. 36 2013 275 284
71. A.M. Zöllner, O.J. Abilez, M. Böl, and E. Kuhl Stretching skeletal muscle - chronic muscle lengthening through sarcomerogenesis PLoS One 7 10 2012 e45661