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

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CONCLUDING COMMENTS Figures for Chapter 2 CHAPTER 3: Tensile keystone model of functional arthrology in the tyrannosaurid arctometatarsus INTRODUCTION MATERIALS AND METHODS Materials and methods for physical manipulation of Tyrannosaurus rex casts Materials and methods for CT scanning of tyrannosaurid metatarsals Materials and methods for assessment of osteological correlates RESULTS Intermetatarsal movement 1. Physical manipulation of Tyrannosaurus rex casts 2. Freedom of movement inferred from Gorgosaurus libratus and Albertosaurus sarcophagus CT scans Osteological correlate reconstruction DISCUSSION implications of articulation anatomy Kinematic model of the tyrannosaurid arctometatarsus Comparison with the equine wBst Comparative phylogenetic and fundional implications CONCLUDING COMMENTS Figures for Chapter 3 141 -176
CHAPTER 4: Finite elernent mode1 of locomotor stress in the metatarsus of Gorgosaurus Iibrafus (Tyrannosauridae) INTRODUCTION Finite element modeling: background and applicability to biological questions Material and loading regimes of the tyrannosaurid arctometatarsus MATERIALS AND METHODS A. FORCE INPUT AND MATERIAL PROPERTES 1. Force and torque inputs 2. Material properties B. PREPROCESSING FOR FEA: MOOELING AND MESH GENERATION 1. Data transfer 2. Preparation of data for contour identification 3. Slice spacing calculations and curve detection 4. 3D modeling and finite element mesh generation RESULTS 1. The metatarsus normal to the substrate II. The metatarsus at 50 degrees to the substrate DISCUSSION FEA directly supports the energy transference hypothesis FEA results complement the tensile keystone hypotheses Dynamic versus static loading: are tocomotor force estimates for Gorgosaurus librafus too low? CONCLUDING COMMENTS Figures for Chapter 4
Page 1 and 2: THE UNIVERSITY OF CALGARY Functiona
Page 3: Many figures in this thesis use col
Page 6 and 7: ACKNOWLEûGEM ENTS Many friends and
Page 8 and 9: Approval page Acknowledgements Tabi
Page 12 and 13: CHAPTER 5: Mechanical and phylogene
Page 14 and 15: LIST OF FIGURES Figure 1 .l. Phylog
Page 16 and 17: Figure 3.6. Osteological correlates
Page 18 and 19: AMNH GI HMN IVPP MOR NMC OMNH PIN P
Page 20 and 21: and constructional morphology revea
Page 22 and 23: 1985, Bryant and Seymour 1990). If
Page 24 and 25: surfaces of a Tyrannosaurus rex spe
Page 26 and 27: 3. Troodontidae (Figure 1.2): Trwdo
Page 29 and 30: Hypothesized functions of the tyran
Page 31 and 32: 1. Atomization (Chapters 2 and 3).
Page 33 and 34: Figure 1.1. P hylogenetic diagram o
Page 35 and 36: Figure 1.2. Phylogenetic diagram of
Page 41: Figure 1 .S. Skeletal restorations
Page 44 and 45: did not quantify the degree of prox
Page 46 and 47: qualitative debate over arctometata
Page 48 and 49: This hypothesis focuses on tyrannos
Page 50 and 51: Table 2.1. Theropod and Plafeosauru
Page 52 and 53: specimens in the figures reflects a
Page 54 and 55: were not attempted. While this limi
Page 56 and 57: Chapter 3). 1 now address variation
Page 58 and 59: - 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
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Figure 2.4. Dromaeosaurid and carno
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- Anterior (flexor) surface medial
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Figure 2.7. Left MT III of Tyrannos
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Figure 2.8. Left MT III of Gorgosau
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Figure 2.9. Left MT III of an omith
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Figure 2.10. Left metatarsus of Tmd
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Figure 2.1 1. Left MT III of Elmisa
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Figure 2.12. Right MT III of Deinon
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Figure 2.13. Left MT III of Allosau
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Figure 2.14. Left metatarsus of Sin
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Figure 2.15. Plots of MT Ill specir
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Figure 2.16. Plot of third metatars
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tv . ... . Ri. . . .
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Figure 2.19. Plot of third metatars
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CHAPTER 3: Tensile keystone model o
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dynamically transmitted Iommotor fo
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Table 3.1 . Metatarsi examined in t
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interrnetatarsal dynamics in these
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compelled analysis of movement evid
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Once prepared, TMP 94.1 2.602 and i
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Daspletosaurus tomsus (MOR 590), an
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2. Freedom of movement inferred fro
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Table 3.2. Surface areas of intemet
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phylogenetic bracketing Wtmer 1995)
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4) Forces from anterior displacerne
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e expected for tyrannosaurid interm
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The preceding discussion derives fr
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weapons sparring), and the arctomet
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Figure 3.1. Schematic representatio
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Figure 3.3. CT reconstruction of ri
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Figure 3.5. MT II (left element) an
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Figure 3.7. Osteological correlates
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Figure 3.9. Osteological correlates
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Figure 3.1 1 ae. The metatarsal rec
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Figure 3.13. Ligament contribution
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Figure 3.15. Anatorny of the equid
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Figure 3.16. Cornparison of loading
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(nodes), and solving stresslstrain
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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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Page 275:
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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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