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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 ...
The role of the tribal elder in teaching calculus through an ethnomathematics lens
(University of Missouri--Kansas City, 2012-04-19)
In action research study I was the classroom teacher of high school-aged African American students participating in the six-week summer portion of the Reach Up program. The purpose of Reach Up is to help students improve ...
Ab initio computational applications to complex biomolecular systems
(University of Missouri--Kansas City, 2012-01-17)
A series of biomaterial related systems ― including water and DNA molecules ―
have been studied using ab initio (first-principles) methods. By investigating the properties
of water as the preliminary step, the hydrogen ...
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 ...
Modeling HIV-1 Infection in the Brain: The Effect of the Blood-Brain 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 ...
Ferroelectric System Dynamics and the Properties of Ferroelectric / Two-Dimensional 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 solid-state theory. One aspect of this goal is to accurately predict the
electric polarization of certain materials ...
Spatiotemporal Modeling and Analysis of Disease Spread in Wildlife
(University of Missouri--Kansas City, 2018)
Wildlife and wildlife diseases have been frequent topics in mathematical epidemiology. However, due to the complexity of real-world systems and the varying degree of randomness in the behavior of any one individual organism, ...
Modeling HIV-1 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 ...
A Hybrid Modeling Approach to Assess the Efficacy of Control Measures on Paratuberculosis on U.S. Dairy Farms
(University of Missouri--Kansas 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 ...
Application of Ab Initio Calculations and Molecular Dynamics to Collagen and Brome Mosaic Virus
(University of Missouri--Kansas 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 ...
Sequential Sampling Designs for Estimating Software Reliability
(2020)
For any non-trivial 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 ...
Sampling Schemes For Estimating Software Reliability
(2022)
Any software system of non-trivial 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 ...
A modeling framework for spatial transmission of Covid-19 in local communities
(2022)
COVID-19 is the recent infectious disease caused by the severe acute respiratory syndrome novel coronavirus (SARS-CoV-2). 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 high-power photoconductive solid state switch applications
(2021)
There is growing demand for high-performance 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 ...
A Cubic Spline Projection Method for Computing Stationary Density Functions of Frobenius-Perron Operator
(2022)
Stationary density functions of Frobenius-Perron operators have critical applications in many fields of science and engineering. Accordingly, approximating stationary density functions f* is important and the focus of this ...
Comparative Investigation of LIBS Spectra and Crater Morphology During Laser Ablation of Eutectic BiSn Alloys
(2022)
Laser-based 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 ...
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 ...
Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems
(2021)
The moving mesh finite element method (MM-FEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true ...
DFT study of electronic structure and mechanical properties of clay minerals, and using large-scale supercell modeling for solvated montmorillonite
(2024)
Clay mineral materials have attracted attention due to their many properties and applications. The applications of clay minerals are closely linked to their structure and composition. Here, we studied the electronic structure ...