Browsing Dissertations & Theses by Title
Now showing items 36-55 of 173
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Effects Of Discrete Time Delays And Parameters Variation On Dynamical Systems
(Mathematics, 2013-10-23)To understand the effects of discrete time delays and of parameters variation on certain biological system models, we first consider a Delay Differential Equation model of human immunodeficiency virus (HIV). We investigate ... -
Effects Of Vector Migration On Sylvatic Trypanosoma Cruzi Transmission
(Mathematics, 2012-07-25)Vector-borne diseases have had a major impact on global health concerns since their discovery in the 1800's. A vector-borne disease is one transmitted to human or animal host via an invertebrate vector (usually an insect). ... -
Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory
(Mathematics, 2008-08-08)This paper estimates the Langmuir parameters for probe on microarray then improves estimation of absolute transcript concentration using Langmuir adsorption model. We use the spike-in probes found on commercial microarrays, ... -
Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity
(Mathematics, 2014-09-17)A preliminary test estimator of variance in the bivariate normal distribution is proposed after Pitman-Morgan test of homogeneity of two variances. We propose one estimator of variance after preliminary test of two tails ... -
EVOKED AND SPONTANEOUS NEUROTRANSMITTER RELEASES FOR INDEPENDENT SYNAPTIC CURRENTS: MATHEMATICAL MODELING AND ANALYSIS
(2017-08-01)Synapses play a major role in neuron communications in the brain. The synapses act through a chemical process called synaptic fusion between pre-synaptic and post-synaptic terminals. Presynaptic terminals release ... -
Examining the Concept Images of Function Held by Preservice Secondary Mathematics Teachers with Varying Levels of Prior Mathematical Experience
(2020-05-20)This multiple case study examines the function concept images of preservice secondary mathematics teachers (PSMTs) enrolled in a mathematics content course designed specifically for PSMTs at a large urban university in the ... -
Existence of Exact Zero Divisors and Totally Reflexive Modules in Artinian Rings
(2017-05-10)In this dissertation, we consider commutative local Artinian rings (A, m, k), which are rings that satisfy the descending chain condition on ideals. First, we investigate the existence of exact zero divisors in Artinian ... -
EXPECTATION MAXIMIZATION-BASED LIKELIHOOD INFERENCE FOR COM-POISSON CURE RATE MODEL WITH INTERVAL CENSORED DATA
(2016-12-02)A cure rate or long-term survival model is a model for survival data with the presence of a cure fraction. In this study, we consider the analysis of a cure rate model with interval-censored data, which is one of the most ... -
EXPLORING DEVELOPMENT OF PROBLEM SOLVING STRATEGIES IN EMERGING MATHEMATICIANS
(2021-04-29)To solve an unfamiliar mathematics problem, students of the subject must know more than the appropriate prerequisite content knowledge. They must also know how best to strategically apply their knowledge, how to monitor ... -
Exponential Tensor Modules
(2022-06-02)Representation theory of Lie algebra of a finite dimensional reductive Lie algebra g is a long-standing problem. The ultimate goal is to classify all representations of g. However. the only case only case when a complete ... -
From Discrete To Continuous Models Of Cell Movement: An Application To Medical Implants
(Mathematics, 2013-03-20)Mathematical modeling of cell movement is needed to aid in the deeper understanding of vital processes such as embryogenesis, angiogenesis, tumor metastasis, and immune reactions to foreign bodies. In this work, cell ... -
A Generalized Approach To Darboux Transformations For Differential Equations
(Mathematics, 2014-07-14)A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to ... -
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation
(Mathematics, 2008-08-08)The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ... -
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ... -
A Globally Convergent Numerical Method For Coefficient Inverse Problems
(Mathematics, 2009-09-16)In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ... -
Haplotype-based Statistical Inference For Case-control Genetic Association Studies With Complex Sampling
(Mathematics, 2014-09-17)With the advances in human genome research, it is now believed that the risks of many complex diseases are triggered by the interplay of genetic susceptibilities and environmental exposures. The population-based case-control ... -
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ... -
High Order DNS For Late Flow Transition
(Mathematics, 2012-07-25)In this report, a new high order scheme for boundary points is introduced when calculating the derivative of smooth functions by Compact Scheme. The primitive function reconstruction method of ENO schemes is applied to ... -
HIGH ORDER DNS FOR VORTEX STRUCTURE IN LATE FLOW TRANSITION
(2017-08-02)Turbulence is still a world puzzle after over one hundred years research, and the current and classical theories brim with self-contradictions. C. Liu proposed a new theory on turbulence generation and structure after 28 ... -
High Order LES For Supersonic Ramp Flow Control With MVG
(Mathematics, 2012-07-25)An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with and without control at Mach 2.5 and Re=5760. Flow control ...