THE UNIVERSITY OF CALGARY Eric Snively A ... - Ohio University

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$Introduction to Numerical Math and Matlab ... - Ohio University$

Prox.: MT III-II:II P~ox.: MT III-II:III P~ox.: MT III- 1 Lave. Prox: MT III-IV:IV P~ox.: MT III- IV:lll Prox: MT Ill- IV:ave. Distal: MT III-II:II Distal: MT III-II:III Distal: MT III- Il:ave. Distal: MT III- IV: IV Distal: MT III- IV:III Distal: MT III- IV:ave. Ratio of average correlate areas: distallproxirnal O (no distal correlates) -5728 Specimen 1.4029 1.4666
phylogenetic bracketing Wtmer 1995) as a means of infemng intemetatarsal ligaments in extinct forms. Inference of soft tissues is still possible with broader phylogenetic comparison and extrapolatory inference (Bryant and Russell 19921, as discussed in Chapter 1. Ligaments connect metatarsals generally in tetrapods, but muscles and tendons do not normally occur between weight bearing metatarsals. Close conformity of articular surfaces in theropods argues against the neomorphic presence of muscles; negligible fiber lengths would prevent the muscles from performing positive work. In contrast to the rarity of muscles and tendons, proximal ligaments are common between metatarsals (Kerr et al. 1987; McGregor 2000). Arnongst reptiles, ligaments with oblique distolateral angulation are present in the metacarpus and metatarsus of lizards (Landsmeer 1981; McGregor 2000). The presenœ of oblique deep ligaments in Iizards does not aIIow bracketing for homologous ligaments within the theropod metatarsus. However, it does show that ligaments of similar angulation to that hypothesized for the arctometatarsus are mechanically feasible. Overall it may be concluded that bony correlates for intermetatarsal articulating elements indicate ligaments, and not tendons. The interpretation of osteological correlates as ligament scars circumseribes hypotheses of arthrological dynamics within the arctometatarsus. Soft tissue anatomy, wupIed with results for range and direction of movement described above, suggests the following model for intermetatarsal kinematics.
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THE UNIVERSITY OF CALGARY Functiona
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Many figures in this thesis use col
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ACKNOWLEûGEM ENTS Many friends and
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Approval page Acknowledgements Tabi
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CONCLUDING COMMENTS Figures for Cha
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CHAPTER 5: Mechanical and phylogene
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LIST OF FIGURES Figure 1 .l. Phylog
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Figure 3.6. Osteological correlates
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AMNH GI HMN IVPP MOR NMC OMNH PIN P
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and constructional morphology revea
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1985, Bryant and Seymour 1990). If
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surfaces of a Tyrannosaurus rex spe
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3. Troodontidae (Figure 1.2): Trwdo
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Hypothesized functions of the tyran
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1. Atomization (Chapters 2 and 3).
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Figure 1.1. P hylogenetic diagram o
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Figure 1.2. Phylogenetic diagram of
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Figure 1 .S. Skeletal restorations
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did not quantify the degree of prox
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qualitative debate over arctometata
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This hypothesis focuses on tyrannos
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Table 2.1. Theropod and Plafeosauru
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specimens in the figures reflects a
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were not attempted. While this limi
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Chapter 3). 1 now address variation
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- Ç6'P 1 68'€tr 1 L'OC 99'66 L'9
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Table 2.3: Log-transformed values f
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experiences a sharp laterally indin
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ecause it can be cursorily dassifie
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arctometatarsalian specimens, the l
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) Shaf€ and region of proximal ar
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a) Ginglymus. Figure 2.14 shows the
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) Shaft and region of proximal arti
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measurements of width pV2S%TU-DE an
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Table 2.4b Variancelmeasurement eac
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the largest sum of linear measureme
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Table 2.5: Specimen statistics Herr
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and Sinraptor dongi specimens. With
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In addition, a hook like proximal a
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oth physical narrowing and elongati
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1s the MT 111 shape segregation fun
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tyrannosaurids, ornithomimid, and t
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proximal constriction, white EImisa
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Figure 2.2. Tyrannosaurid, trwdonti
Page 99: Figure 2.4. Dromaeosaurid and carno
Page 102 and 103: - Anterior (flexor) surface medial
Page 105 and 106: Figure 2.7. Left MT III of Tyrannos
Page 107 and 108: Figure 2.8. Left MT III of Gorgosau
Page 109 and 110: Figure 2.9. Left MT III of an omith
Page 111 and 112: Figure 2.10. Left metatarsus of Tmd
Page 113 and 114: Figure 2.1 1. Left MT III of Elmisa
Page 115 and 116: Figure 2.12. Right MT III of Deinon
Page 117 and 118: Figure 2.13. Left MT III of Allosau
Page 119 and 120: Figure 2.14. Left metatarsus of Sin
Page 121 and 122: Figure 2.15. Plots of MT Ill specir
Page 123: Figure 2.16. Plot of third metatars
Page 126 and 127: tv . ... . Ri. . . .
Page 129 and 130: Figure 2.19. Plot of third metatars
Page 131 and 132: CHAPTER 3: Tensile keystone model o
Page 133 and 134: dynamically transmitted Iommotor fo
Page 135 and 136: Table 3.1 . Metatarsi examined in t
Page 137 and 138: interrnetatarsal dynamics in these
Page 139 and 140: compelled analysis of movement evid
Page 141 and 142: Once prepared, TMP 94.1 2.602 and i
Page 143 and 144: Daspletosaurus tomsus (MOR 590), an
Page 145 and 146: 2. Freedom of movement inferred fro
Page 147: Table 3.2. Surface areas of intemet
Page 151 and 152: 4) Forces from anterior displacerne
Page 153 and 154: e expected for tyrannosaurid interm
Page 155 and 156: The preceding discussion derives fr
Page 157 and 158: weapons sparring), and the arctomet
Page 159: Figure 3.1. Schematic representatio
Page 163: Figure 3.3. CT reconstruction of ri
Page 167: Figure 3.5. MT II (left element) an
Page 171: Figure 3.7. Osteological correlates
Page 175: Figure 3.9. Osteological correlates
Page 179: Figure 3.1 1 ae. The metatarsal rec
Page 187: Figure 3.13. Ligament contribution
Page 191 and 192: Figure 3.15. Anatorny of the equid
Page 193: Figure 3.16. Cornparison of loading
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The practicality of the finite elem
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collective density of trabeculae (K
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A FORCE INPUTS AND MATERIAL PROPERT
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Alexander et al. (1 979) rewrded a
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The preceding loading regime entait
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detemined by using the photographic
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2. Preparation of data for contour
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. - Elastic modulus (GP4 Ex EY Ez P
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conversion. Volume-to-nuages facili
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maintained. An angle of 2 degrees p
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of MT III (Figure 4.4, pinpointed b
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anterodorsal rotation of the distal
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allowed to stretch slightly under t
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Figure 4.1. Initial loads and bound
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Figure 4.3. Finite element mesh of
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Figure 4.5. Strain distribution in
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CHAPTER 5: Mechanical and evolution
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y distal intermetatarsal ligaments,
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Probable fundion of the tyrannosaur
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Ornitholestes, and camosaurs) incre
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morphology matches in degree the co
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discussion elucidates the evolution
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face of the skull met part of the m
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Alternately, a morphological novelt
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outgroup to ail theropods, and the
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convincingly evident in figures of
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parsimonious scenarios are outlined
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dromaeosaurids], and a dade compris
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arctometatarsalian forrns. The conv
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Proximal intermetatarsal ligaments
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witti a surfeit of potentially supp
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Figure 5.2. Phylogeny of the Therop
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Bock W.J. and von Wahlert G. Evolut
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Cume P.J. 1997. Theropoda. In: Fari
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Grenard S. 1991. Handbook of Alliga
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Liem K.F. and Osse J.W.M. 1975. Bio
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Richtsmeier J.T. and Cheverud J.M.
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Woo S., Maynard J., Butler O. 1987.
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Different variables in a PCA will h
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THE UNIVERSITY OF CALGARY Eric Snively A ... - Ohio University

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