Free body analysis, beam mechanics, and finite element modeling of the mandible of Alligator mississippiensis

Journal of Morphology

Volumn 272, Issue 8, 2011, Pages 910-937

  Porro, Laura B ^a   Holliday, Casey M ^b   Anapol, Fred ^c   Ontiveros, Lupita C ^c   Ontiveros, Lolita T ^c   Ross, Callum F ^a  

^a UNIVERSITY OF CHICAGO   (United States)

^b University of Missouri   (United States)

^c UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

Archosaurs; Beam theory; Biomechanics; Bone stress; Crocodilians

Indexed keywords

ALLIGATOR; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; BONE; FINITE ELEMENT ANALYSIS; HISTOLOGY; HUMAN; MANDIBLE; MECHANICAL STRESS; PHYSIOLOGY;

ALLIGATORS AND CROCODILES; ANIMALS; BIOMECHANICS; BONE AND BONES; FINITE ELEMENT ANALYSIS; HUMANS; MANDIBLE; MODELS, BIOLOGICAL; STRESS, MECHANICAL;

ALLIGATOR; ALLIGATOR MISSISSIPPIENSIS; CROCODYLIDAE (ALL CROCODILES); MAMMALIA;

EID: 79960022924     PISSN: 03622525     EISSN: 10974687     Source Type: Journal    
DOI: 10.1002/jmor.10957     Document Type: Article

References (91)

1. Ameen M. 2008. Computational Elasticity. Theory of Elasticity, Finite and Boundary Element Methods. Oxford, United Kingdom: Alpha Science International. 530 p.
2. Anapol F, Barry K. 1996. Fiber architecture of the extensors of the hindlimb in semiterrestrial and arboreal guenons. Am J Phys Anthropol 99: 429-447.
3. Anapol F, Gray JP. 2003. Fiber architecture of the intrinsic muscles of the shoulder and arm in semiterrestrial and arboreal guenons. Am J Phys Anthropol 122: 51-65.
4. Anapol F, Shahnoor N, Gray JP. 2004. Fiber architecture, muscle function, and behavior: Gluteal and hamstring muscles of semiterrestrial and arboreal guenons. In: Anapol F, German RZ, Jablonski N, editors. Shaping Primate Evolution. Cambridge: Cambridge University Press.
5. Anapol F, Shahnoor N, Ross CF. 2008. Scaling of reduced physiologic cross-sectional area in primate muscles of mastication. In: Vinyard C, Wall CE, Ravosa MJ, editors. Primate Craniofacial Function and Biology. New York: Springer. pp 201-216.
6. Bell PR, Snively E, Shychoski L. 2009. A comparison of the jaw mechanics in hadrosaurid and ceratopsid dinosaurs using finite element analysis. Anat Rec 292: 1338-1351.
7. Biknevicius AR, Ruff CB. 1992. The structure of the mandibular corpus and its relationship to feeding behaviors in extant carnivorans. J Zool 228: 479-507.
8. Bock WJ. 1966. An approach to the functional analysis of bill shape. Auk 83: 10-51.
9. Bock WJ, Kummer B. 1968. The avian mandible as a structural girder. J Biomech 1: 89-96.
10. Busbey AB. 1989. Form and function of the feedng apparatus of Alligator mississippiensis. J Morphol 202: 99-127.
11. Busbey AB. 1995. The structural consequences of skull flattening in crocodilians. In: Thomason JJ, editor. Functional Morphology in Vertebrate Paleontology. Cambridge: Cambridge University Press. pp 173-192.
12. Chalk J, Richmond BG, Ross CF, Strait DS, Wright B, Spender MA, Wang Q, Dechow PC. 2010. A finite element analysis of masticatory stress hypotheses. Am J Phys Anthropol. 2010 Nov 10, [Epub ahead of print (DOI: 10.1002/ajpa.21416)].
13. Christiansen P, Wroe S. 2007. Bite forces and evolutionary adaptations to feeding ecology in carnivores. Ecology 88: 347-358.
14. Cleuren J, Aerts P, De Vree F. 1995. Bite and joint force analysis in Caiman crocodilus. Belg J Zool 125: 79-94.
15. Currey JD. 2002. Bones: Structure and Mechanics. Princeton: Princeton University Press. 436p.
16. Daegling DJ. 1989. Biomechanics of cross-sectional size and shape in the hominoid mandibular corpus. Am J Phys Anthropol 80: 91-106.
17. Daegling DJ. 1993. The relationship of in vivo bone strain to mandibular corpus morphology in Macaca fascicularis. J Hum Evol 25: 247-269.
18. Daegling DJ. 2002. Estimation of torsional rigidity in primate long bones. J Hum Evol 43: 229-239.
19. Daegling DJ. 2007a. Morphometric estimation of torsional stiffness and strength in primate mandibles. AmJ Phys Anthropol 132: 261-266.
20. Daegling DJ. 2007b. Relationship of bone utilization and biomechanical competence in hominoid mandibles. Arch Oral Biol 52: 51-63.
21. Daegling DJ, Hylander WL. 1998. Biomechanics of torsion in the human mandible. AmJ Phys Anthropol 105: 73-87.
22. Daniel WJT, McHenry C. 2001. Bite force to skull stress correlation-Modelling the skull of Alligator mississippiensis. In: Grigg GC, Seebacher F, Franklin CE, editors. Crocodilian Biology and Evolution. Surrey Beatty: Chipping Norton. pp 135-143.
23. Desojo JB, Vizcaíno SF. 2009. Jaw biomechanics in he South American aetosaur Neoaetosauroides engaeus. Paläont Z 83: 499-510.
24. Dullemeijer P. 1974. Concepts and Approaches in Animal Morphology. Assen: Van Gorcum. 264 p.
25. Dumont ER, Piccirillo J, Grosse IR. 2005. Finite-element analysis of biting behavior and bone stress in the facial skeletons of bats. Anat Rec A 283A: 319-330.
26. Erickson GM, Lappin AK, Vliet KA. 2003. The ontogeny of bite-force performance in American alligator (Alligator mississippiensis). J Zool 260: 317-327.
27. Gilmore RS, Pollack RP, Katz JL. 1969. Elastic properties of bovine dentine and enamel. Arch Oral Biol 15: 787-796.
28. Gordon AM, Huxley AF, Julian FJ. 1966. The variation in isometric tension with sarcomere length in vertebrate muscle fibres. J Physiol 184: 170-192.
29. Greaves WS. 1978. The jaw lever system in ungulates: A new model. J Zool 184: 271-285.
30. Greaves WS. 1982. A mechanical limitation on the position of the jaw muscles of mammals: The one-third rule. J Mammal 63: 261-266.
31. Grosse I, Dumont ER, Coletta C, Tolleson A. 2007. Techniques for modeling muscle-induced forces in finite element models of skeletal structures. Anat Rec 290: 1069-1088.
32. Henderson DM. 2002. The eyes have it: The sizes, shapes, and orientations of theropod orbits as indicators of skull strength and bite force. J Vert Paleontol 22: 766-778.
33. Hermann LR. 1965. Elastic torsional analysis of irregular shapes. J Eng Mech ASCE 6: 11-19.
34. Herrel A, O'Reilly JC. 2006. Ontogenetic scaling of bite force in lizards and turtles. Physiol Biochem Zool 79: 31-42.
35. Herzog W. 2007. Muscle. In: Nigg BM, Herzog W, editors. Biomechanics of the musculoskeletal system, 3rd ed. John Wiley & Sons: Chichester, England. pp 169-225.
36. Hibbeler RC. 2000. Mechanics of Materials. Upper Saddle River, New Jersey: Prentice Hall. 855 p.
37. Holliday CM, Witmer LM. 2007. Archosauradductor chamber evolution: Intergration of musculoskeletal and topological criteria in jaw muscle homology. J Morphol 268: 457-484.
38. Hylander WL. 1977. In vivo bone strain in the mandible of Galago crassicaudatus. Am J Phys Anthropol 46: 309-326.
39. Hylander WL. 1979a. The functional significance of primate mandibular form. J Morphol 160: 223-240.
40. Hylander WL. 1979b. Mandibular function in Galago crassicaudatus and Macaca fascicularis: An in vivo approach to stress analysis of the mandible. J Morphol 159: 253-296.
41. Hylander WL. 1981. Patterns of stress and strain in the macaque mandible. In: Carlson DS, editor.Craniofacial Biology Monograph No 10, Craniofacial Growth Series: Center for Human Growth and Development, University of Michigan Press, Ann Arbor. pp 1-35.
42. Hylander WL. 1984. Stress and strain in the mandibular symphysis of primates: A test of competing hypotheses. Am J Phys Anthropol 64: 1-46.
43. Hylander WL. 1985. Mandibular function and biomechanical stress and scaling. Am Zool 25: 315-330.
44. Iordansky NN. 1964. The jaw muscles of the crocodiles and some relating structures of the crocodilian skull. Anat Anz 115: 256-280.
45. Iordansky NN. 1973. The skull of the Crocodilia. In: Gans C, Parsons T, editors.Biology of the Reptilia, Vol. 4. New York, Academic Press. pp 201-262.
46. Johnston IA, Gleeson TT. 1984. Thermal dependence of contractile properties of red and white fibres isolated from the iliofibularis muscle of the desert iguana (Dipsosaurus dorsalis). J Exp Biol 113: 123-132.
47. Kupczik K, Dobson CA, Fagan MJ, Crompton RH, Oxnard CE, O'Higgins P. 2007. Assessing mechanical function of the zygomatic region in macaques: Validation and sensitivity testing of finite element models. J Anat 210: 41-53.
48. Lemberg J, Porro LB, Reed D, Ross CF. 2009. 3D visualization and morphometric analysis comparing mandibular sutures in a hatchling and subadult Alligator mississippiensis. J Vert Paleontol 29: 134A.
49. Margulies SS, Thibault KL. 2000. Infant skull and suture properties: Measurements and implications for mechanisms of pediatric brain injury. J Biomech Eng 122: 364-371.
50. Mazzetta GV, Fariña RA, Vizcaíno SF. 1998. On the palaeobiology of the South American horned theropod Carnotaurus sastrei Bonaparte. Gaia 15: 185-192.
51. Mazzetta GV, Cisilino AP, Blanco RE. 2004. Distribución de ensiones durante la mordida en la mandíbula de Carnotaurus sastrei Bonaparte, 1985 (Theropoda: Abelisauridae). Ameghiniana 41: 605-617.
52. McHenry C, Clausen P, Daniel WJT, Meers MB, Pendharkar A. 2006. Biomechanics of the rostrum in crocodilians: A comparative analysis using finite-element modeling. Anat Rec A 288A: 827-849.
53. McIntosh JE, Anderton X, Flores-De-Jacoby L, Carlson DS, Shuler CF, Diekwisch TGH. 2002. Caiman periodontium as an intermediate between basal vertebrate ankylosis-type attachment and mammalian "true" periodontium. Microsc Res Tech 59: 449-459.
54. Metzger KA, Daniel WJT, Ross CF. 2005. Comparison of beam theory and finite-element analysis with in vivo bone strain data from the Alligator cranium. Anat Rec A 283A: 331-348.
55. Molnar RE. 1998. Mechanical factors in the design of the skull of Tyrannosaurus rex (Osborn, 1905). Gaia 15: 193-218.
56. Nordstrom SH, Yemm R. 1974. The relationship between jaw position and isometric active tension produced by direct stimulation of the rat masseter muscle. Arch Oral Biol 19: 353-359.
57. Nordstrom SH, Bishop M, Yemm R. 1974. The effect of jaw opening on the sarcomere length of the masseter and temporal muscles of the rat. Arch Oral Biol 19: 151-155.
58. Ostrom JH. 1961. Cranial morphology of the hadrosaurian dinosaurs of North America. Bull Am Mus Nat Hist 122: 33-186.
59. Pierce SE, Angielczyk KD, Rayfield EJ. 2008. Patterns of morphospace occupation and mechanical performance in exant crocodilian skulls: A combined geometric morphometric and finite element modeling approach. J Morphol 269: 840-864.
60. Radhakrishnan P, Mao JJ. 2004. Nanomechanical properties of facial sutures and sutural mineralization front. J Dent Res 83: 470-475.
61. Rayfield EJ. 2001. Cranial Form and Function in a Large Theropod Dinosaur: A Study Using Finite Element Analysis. Cambridge (UK): Emmanuel College, University of Cambridge. 300 p.
62. Rayfield EJ. 2004. Cranial mechanics and feeding in Tyrannosaurus rex. Proc R Soc Lond B Biol Sci 271: 1451-1459.
63. Rayfield EJ. 2005. Using finite-element analysis to investigate suture morphology: A case study using large carnivorous dinosaurs. Anat Rec A 283A: 349-365.
64. Rayfield EJ, Milner AC. 2008. Establishing a framework for archosaur cranial mechanics. Paleobiology 34: 494-515.
65. Rayfield EJ, Norman DB, Horner CC, Horner JR, Smith PM, Thomason JJ, Upchurch P. 2001. Cranial design and function in a large theropod dinosaur. Nature 409: 1033-1037.
66. Rayfield EJ, Milner AC, Xuan VB, Young PG. 2007. Functional morphology of spinosaur 'crocodile-mimic' dinosaurs. J Vert Paleontol 27: 892-901.
67. Rees JS, Jacobsen PH. 1997. Elastic modulus of the perioontal ligament. Biomaterials 18: 995-999.
68. Reilly DT, Burstein AH. 1975. The elastic and ultimate properties of compact bone tissue. J Biomech 8: 393-405.
69. Roark RJ. 1965. Formulas for Stress and Strain. New York: McGraw-Hill Book Company. 432 p.
70. Roark RJ, Young WC. 1975. Formulas for Stress and Strain. New York: McGraw-Hill Book Company. 332 p.
71. Ross CF, Patel BA, Slice DE, Strait DS, Dechow PC, Richmond BG, Spencer MA. 2005. Modeling masticatory muscle force in finite-element analysis: Sensitivity analysis using principal coordinates analysis. Anat Rec A 283: 288-299.
72. Ross CF, Berthaume M, Dechow PC, Iriarte-Diaz J, Porro L, Richmond B, Spencer M, Strait D. 2011. In vivo bone strain and finite-element modeling of the craniofacial haft in catarrhine primates. J Anat 218: 112-141.
73. Schumacher GH. 1973. The head muscles of hyolaryngeal skeleton of turtles and crocodilians. In: Gans C, Parsons T, editors.Biology of the Reptilia, Vol. 4. New York: Academic Press. pp 101-199.
74. Sinclair AG, Alexander RM. 1987. Estimated forces exerted by the jaw muscles of some reptiles. J Zool 213: 107-115.
75. Spencer MA. 1995. Masticatory System Configuration and Diet in Anthropoid Primates [dissertation]. Stony Brook (NY): State University of New York at Stony Brook. 595 p.
76. Spencer MA. 1998. Force production in the primate masticatory system: Electromyographic tests of biomechanical hypotheses. J Hum Evol 34: 25-54.
77. Spencer MA. 1999. Constraints on masticatory system evolution in anthropoid primates. Am J Phys Anthropol 108: 483-506.
78. Stern JTJr. 1974. Computer modelling of gross muscle function. J Biomech 7: 411-428.
79. Strait DS, Wang Q, Dechow PC, Ross CF, Richmond BG, Spencer MA, Patel BA. 2005. Modeling elastic properties in finite-element analysis: How much precision is needed to produce an accurate model? Anat Rec A 283A: 275-287.
80. Tanoue K, Grandstaff BS, You H-L, Dodson P. 2009. Jaw mechanics in basal ceratopsia (Ornithischia, Dinosauria). Anat Rec 292: 1352-1369.
81. Therrien F. 2005. Feeding behaviour and bite force of sabretoothed predators. Zool J Linn Soc 145: 393-426.
82. Thomason JJ, Russell A, Morgeli M. 1990. Forces of biting, body size, and masticatory muscle tension in the opossum Didelphis virginiana. Can J Zool 68: 318-324.
83. Turner CH, Burr DB. 1993. Basic biomechanical measurements of bone: A tutorial. Bone 14: 595-608.
84. Van der Meij MAA, Bout RG. 2004. Scaling of jaw muscle size and maximal bite force in finches. J Exp Biol 207: 2745-2753.
85. van Drongelen W, Dullemeijer P. 1982. The feeding apparatus of Caiman crocodilus: A functional morphological study. Anat Anz 151: 337-366.
86. Walker SM, Schrodt GR. 1974. I segment lengths and thin filament periods in skeletal muscle fibers of the Rhesus monkey and the human. Anat Rec 178: 63-82.
87. Weijs WA, van der Wielen-Drent TK. 1983. The relationship between sarcomere length and activation pattern in the rabbit masseter muscle. Arch Oral Biol 28: 307-315.
88. Wroe S, McHenry C, Thomason J. 2005. Bite club: Comparative bite force in big biting mammals and the prediction of predatory behaviour in fossil taxa. Proc R Soc Lond B Biol Sci 272: 619-625.
89. Yoshida N, Koga Y, Peng CL, Tanaka E, Kobayashi K. 2001. In vivo measurement of the elastic modulus of the human periodontal ligament. Med Eng Phys 23: 567-572.
90. Young WC. 1989. Roark's Formulas for Stress and Strain. New York: McGraw-Hill Book Company. 763 p.
91. Zapata U, Metzger KA, Wang Q, Dechow PC, Ross CF. 2010. Mechanical properties of mandibular cortical bone in the American alligator, Alligator mississippiensis. Bone 46: 860-867.