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East Tennessee State University

Theses/Dissertations

2011

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Articles 31 - 33 of 33

Full-Text Articles in Physical Sciences and Mathematics

On The Cranial Osteology Of Eremiascincus And Its Use For Identification., William B. Gelnaw May 2011

On The Cranial Osteology Of Eremiascincus And Its Use For Identification., William B. Gelnaw

Electronic Theses and Dissertations

A persistent problem for Australian paleontology has been a lack of diagnostic characters for identifying lizard fossils. Eremiascincus is one of the most widespread genera in Australia, so it was examined for distinguishing features and how it fits into a model of skink evolution. Skulls of Eremiascincus were examined within five separate contexts: 1) a description of the cranial osteology, 2) a qualitative comparison of individual cranial elements of Eremiascincus to closely related Ctenotus, 3) a description of the cranial allometry in Eremiascincus using linear morphometrics, 4) using cranial morphometrics of skinks to deduce their phylogeny, and 5) using …


A Singular Perturbation Approach To The Fitzhugh-Nagumo Pde For Modeling Cardiac Action Potentials., Jeremy Brooks May 2011

A Singular Perturbation Approach To The Fitzhugh-Nagumo Pde For Modeling Cardiac Action Potentials., Jeremy Brooks

Undergraduate Honors Theses

The study of cardiac action potentials has many medical applications. Dr. Dennis Noble first used mathematical models to study cardiac action potentials in the 1960s. We begin our study of cardiac action potentials with one form of the Fitzhugh-Nagumo partial differential equation. We use the non-classical method to produce a closed form solution for the decoupled Fitzhugh Nagumo equation. Using voltage recording data of action potentials in a cardiac myocyte and in purkinje fibers, we estimate parameter values for the closed form solution with standard linear and non-linear regression methods. Results are limited, thus leading us to perturb the solution …


Variation In The Modified First Metatarsal Of A Large Sample Of Tapirus Polkensis And The Functional Implications For Ceratomorphs., Patrick Lawrence Hawkins May 2011

Variation In The Modified First Metatarsal Of A Large Sample Of Tapirus Polkensis And The Functional Implications For Ceratomorphs., Patrick Lawrence Hawkins

Electronic Theses and Dissertations

The Mio-Pliocene age Gray Fossil Site of northeastern Tennessee has the largest collection of tapir postcranial skeletons in the world. Though representing a single species, a few localized structures show high variability. This paper deals with variation of the first metatarsal, which in tapirs was reduced as an early adaptation for running and then retrofitted to serve as a special origin for flexors and adductors of the proximal phalanges. The first metatarsal connects the medial ankle with a posterior process of the third metatarsal in tapiroids. In Tapirus indicus, T. webbi, and 6 out of 31 T. polkensis …