Browsing Physics and Astronomy Electronic Theses and Dissertations (UMKC) by Thesis Department "Mathematics (UMKC)"
Now showing items 119 of 19

A Cubic Spline Projection Method for Computing Stationary Density Functions of FrobeniusPerron Operator
(2022)Stationary density functions of FrobeniusPerron operators have critical applications in many fields of science and engineering. Accordingly, approximating stationary density functions f* is important and the focus of this ... 
A modeling framework for spatial transmission of Covid19 in local communities
(2022)COVID19 is the recent infectious disease caused by the severe acute respiratory syndrome novel coronavirus (SARSCoV2). Because the transmissibility of the virus is relatively high and the outbreaks remained undetected ... 
A study of carbon and iron charged point defects in gallium nitride: electronic structure implications for highpower photoconductive solid state switch applications
(2021)There is growing demand for highperformance electronics in high volt age, high current, and high frequency efficiency requirements that current materials (e.g., Si) are not fulfilling. Within the last few years, the ... 
Ab initio computational applications to complex biomolecular systems
(University of MissouriKansas City, 20120117)A series of biomaterial related systems ― including water and DNA molecules ― have been studied using ab initio (firstprinciples) methods. By investigating the properties of water as the preliminary step, the hydrogen ... 
Application of Ab Initio Calculations and Molecular Dynamics to Collagen and Brome Mosaic Virus
(University of MissouriKansas City, 2016)Molecular Dynamics (MD) simulations are no more accurate than the underlying force field which represents the molecular interactions. In this thesis, we have calculated ab initio atomic partial charges for proteins of ... 
Comparative Investigation of LIBS Spectra and Crater Morphology During Laser Ablation of Eutectic BiSn Alloys
(2022)Laserbased methods such as pulsed laser deposition (PLD) that are used for fabricating structural and functional materials are ripe for dramatic improvement. However, because laser–material interactions are dependent on ... 
Design of Instrumentation and Methodologies for Determination of Free Neutron Characteristics
(University of Missouri  Kansas City, 2017)Measuring neutron source‐dependent free neutron properties over a large neutron energy range, with human‐portable instrumentation, continues to push the frontier of neutron detection instrumentation design and analysis ... 
Enabling Electronic Structure Calculations of High Z Element Containing Materials Using Dirac Relativistic DFT Methods
(2020)Novel properties may be induced in a host material by doping it with high Z elements to alter its underlying electronic states. Presently, no method exists that can accurately capture both large system sizes and the intricate ... 
Ferroelectric System Dynamics and the Properties of Ferroelectric / TwoDimensional Electron Gas Heterostructures: a Ginzburg–Landau Study
(University of Missouri  Kansas City, 2017)Understanding the electronic response of materials to applied electric fields is an outstanding goal in solidstate theory. One aspect of this goal is to accurately predict the electric polarization of certain materials ... 
Generalized Koszul Properties of Commutative Local Rings
(2014)We study several properties of commutative local rings that generalize the notion of Koszul algebra. The properties are expressed in terms of the Ext algebra of the ring, or in terms of homological properties of powers ... 
A Hybrid Modeling Approach to Assess the Efficacy of Control Measures on Paratuberculosis on U.S. Dairy Farms
(University of MissouriKansas City, 2016)Paratuberculosis, also known as Johne's disease or JD, is a chronic contagious infection, caused by Mycobaterium avium paratuberculosis (MAP). This fatal disease is incurable and causes considerable economic losses to ... 
Modeling HIV1 Infection and Immune Responses Under Drugs of Abuse
(University of Missouri  Kansas City, 2018)The frequent use of drugs of abuse among HIV infected individuals is a major concern. Drugs of abuse, such as opiates, have been widely associated with enhanc ing HIV replication, accelerating disease progression, and ... 
Modeling HIV1 Infection in the Brain: The Effect of the BloodBrain Barrier
(2019)Despite the advancement of antiretroviral therapy (ART), the development of HIV associated neurocognitive disorders (HAND) remains a major concern among HIV infected patients. As many ART drugs may fail to penetrate the ... 
Moving Mesh Finite Element Method for Time Dependent ConvectionDiffusion Problems
(2021)The moving mesh finite element method (MMFEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true ... 
The role of the tribal elder in teaching calculus through an ethnomathematics lens
(University of MissouriKansas City, 20120419)In action research study I was the classroom teacher of high schoolaged African American students participating in the sixweek summer portion of the Reach Up program. The purpose of Reach Up is to help students improve ... 
Sampling Schemes For Estimating Software Reliability
(2022)Any software system of nontrivial size cannot be easily and completely tested because the domain of all possible inputs is complex and very large. In this study, we use a technique called partition testing, in which we ... 
Sequential Sampling Designs for Estimating Software Reliability
(2020)For any nontrivial system, it is impossible to reach the exact reliability of software due to the complexity, cost, and time required to complete the testing. Instead, a sample of test cases can be used to estimate the ... 
Sequential test allocation for estimating software reliability with associated cost
We use a sequential method to allocate software test cases among partitions of a software to minimize the expected loss incurred by the Bayes estimator of the overall software reliability. The Bayesian approach allows us ... 
Spatiotemporal Modeling and Analysis of Disease Spread in Wildlife
(University of MissouriKansas City, 2018)Wildlife and wildlife diseases have been frequent topics in mathematical epidemiology. However, due to the complexity of realworld systems and the varying degree of randomness in the behavior of any one individual organism, ...