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

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

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Page 1: THE UNIVERSITY OF CALGARY Functiona
Page 6 and 7: ACKNOWLEûGEM ENTS Many friends and
Page 8 and 9: Approval page Acknowledgements Tabi
Page 10 and 11: CONCLUDING COMMENTS Figures for Cha
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
Page 60 and 61:
Table 2.3: Log-transformed values f
Page 62 and 63:
experiences a sharp laterally indin
Page 64 and 65:
ecause it can be cursorily dassifie
Page 66 and 67:
arctometatarsalian specimens, the l
Page 68 and 69:
) Shaf€ and region of proximal ar
Page 70 and 71:
a) Ginglymus. Figure 2.14 shows the
Page 72 and 73:
) Shaft and region of proximal arti
Page 74 and 75:
measurements of width pV2S%TU-DE an
Page 76 and 77:
Table 2.4b Variancelmeasurement eac
Page 78 and 79:
the largest sum of linear measureme
Page 80 and 81:
Table 2.5: Specimen statistics Herr
Page 82 and 83:
and Sinraptor dongi specimens. With
Page 84 and 85:
In addition, a hook like proximal a
Page 86 and 87:
oth physical narrowing and elongati
Page 88 and 89:
1s the MT 111 shape segregation fun
Page 90 and 91:
tyrannosaurids, ornithomimid, and t
Page 92 and 93:
proximal constriction, white EImisa
Page 95:
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 and 148:
Table 3.2. Surface areas of intemet
Page 149 and 150:
phylogenetic bracketing Wtmer 1995)
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
Page 196 and 197:
(nodes), and solving stresslstrain
Page 198 and 199:
The practicality of the finite elem
Page 200 and 201:
collective density of trabeculae (K
Page 202 and 203:
A FORCE INPUTS AND MATERIAL PROPERT
Page 204 and 205:
Alexander et al. (1 979) rewrded a
Page 206 and 207:
The preceding loading regime entait
Page 208 and 209:
detemined by using the photographic
Page 210 and 211:
2. Preparation of data for contour
Page 212 and 213:
. - Elastic modulus (GP4 Ex EY Ez P
Page 214 and 215:
conversion. Volume-to-nuages facili
Page 216 and 217:
maintained. An angle of 2 degrees p
Page 218 and 219:
of MT III (Figure 4.4, pinpointed b
Page 220 and 221:
anterodorsal rotation of the distal
Page 222 and 223:
allowed to stretch slightly under t
Page 224:
Figure 4.1. Initial loads and bound
Page 228:
Figure 4.3. Finite element mesh of
Page 232:
Figure 4.5. Strain distribution in
Page 236 and 237:
CHAPTER 5: Mechanical and evolution
Page 238 and 239:
y distal intermetatarsal ligaments,
Page 240 and 241:
Probable fundion of the tyrannosaur
Page 242 and 243:
Ornitholestes, and camosaurs) incre
Page 244 and 245:
morphology matches in degree the co
Page 246 and 247:
discussion elucidates the evolution
Page 248 and 249:
face of the skull met part of the m
Page 250 and 251:
Alternately, a morphological novelt
Page 252 and 253:
outgroup to ail theropods, and the
Page 254 and 255:
convincingly evident in figures of
Page 256 and 257:
parsimonious scenarios are outlined
Page 258 and 259:
dromaeosaurids], and a dade compris
Page 260 and 261:
arctometatarsalian forrns. The conv
Page 262 and 263:
Proximal intermetatarsal ligaments
Page 264 and 265:
witti a surfeit of potentially supp
Page 267:
Figure 5.2. Phylogeny of the Therop
Page 271:
Page 275:
Page 278 and 279:
Bock W.J. and von Wahlert G. Evolut
Page 280 and 281:
Cume P.J. 1997. Theropoda. In: Fari
Page 282 and 283:
Grenard S. 1991. Handbook of Alliga
Page 284 and 285:
Liem K.F. and Osse J.W.M. 1975. Bio
Page 286 and 287:
Richtsmeier J.T. and Cheverud J.M.
Page 288 and 289:
Woo S., Maynard J., Butler O. 1987.
Page 290 and 291:
Different variables in a PCA will h
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