Divisibility In The Stone-Cech Compactification Of N,
2018
University of Missouri, St. Louis
Divisibility In The Stone-Cech Compactification Of N, Salahddeen Khalifa
Dissertations
Let S a discrete semigroup. The associative operation on S extends naturally to an associative operation on βS,the Stone Cech compactification of S. This involves both topology and algebra and leads us to think how to extend properties and operations that are defined on S to βS. A good application of this is the extension of relations and divisibility operations that are defined on the discrete semigroup of natural numbers (N,.) with multiplication as operation to relations and divisibility operations that are defined on (βN,?) where (?) is the extension of the operation (.). In this research I studied extending …
Reaction Simulations: A Rapid Development Framework,
2018
University of New Mexico - Main Campus
Reaction Simulations: A Rapid Development Framework, Brendan Drake Donohoe
Shared Knowledge Conference
Chemical Reaction Networks (CRNs) are a popular tool in the chemical sciences for providing a means of analyzing and modeling complex reaction systems. In recent years, CRNs have attracted attention in the field of molecular computing for their ability to simulate the components of a digital computer. The reactions within such networks may occur at several different scales relative to one another – at rates often too difficult to directly measure and analyze in a laboratory setting. To facilitate the construction and analysis of such networks, we propose a reduced order model for simulating such networks as a system of …
Two Applications Of High Order Methods: Wave Propagation And Accelerator Physics,
2018
University of New Mexico
Two Applications Of High Order Methods: Wave Propagation And Accelerator Physics, Oleksii Beznosov
Shared Knowledge Conference
Numerical simulations of partial differential equations (PDE) are used to predict the behavior of complex physics phenomena when the real life experiments are expensive. Discretization of a PDE is the representation of the continuous problem as a discrete problem that can be solved on a computer. The discretization always introduces a certain inaccuracy caused by the numerical approximation. By increasing the computational cost of the numerical algorithm the solution can be computed more accurately. In the theory of numerical analysis this fact is called the convergence of the numerical algorithm. The idea behind high order methods is to improve the …
Translation Theorems For The Fourier-Feynman Transform On The Product Function Space C2 A,B, [0,T],
2018
Dankook University
Translation Theorems For The Fourier-Feynman Transform On The Product Function Space C2 A,B, [0,T], Seung Jun Chang, Jae Gil Choi, David Skoug
Department of Mathematics: Faculty Publications
In this article, we establish the Cameron{Martin translation theo- rems for the analytic Fourier{Feynman transform of functionals on the product function space C2 a;b[0; T]. The function space Ca;b[0; T] is induced by the gener- alized Brownian motion process associated with continuous functions a(t) and b(t) on the time interval [0; T]. The process used here is nonstationary in time and is subject to a drift a(t). To study our translation theorem, we introduce a Fresnel-type class Fa;b A1;A2 of functionals on C2 a;b[0; T], which is a generaliza- tion of the Kallianpur and Bromley{Fresnel class FA1;A2 . We then …
Development And Internal Validation Of An Aneurysm Rupture Probability Model Based On Patient Characteristics And Aneurysm Location, Morphology, And Hemodynamics,
2018
George Mason University
Development And Internal Validation Of An Aneurysm Rupture Probability Model Based On Patient Characteristics And Aneurysm Location, Morphology, And Hemodynamics, Felicitas J. Detmer, Bong Jae Chung, Fernando Mut, Martin Slawski, Farid Hamzei-Sichani, Christopher Putman, Carlos Jiménez, Juan R. Cebral
Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works
Purpose: Unruptured cerebral aneurysms pose a dilemma for physicians who need to weigh the risk of a devastating subarachnoid hemorrhage against the risk of surgery or endovascular treatment and their complications when deciding on a treatment strategy. A prediction model could potentially support such treatment decisions. The aim of this study was to develop and internally validate a model for aneurysm rupture based on hemodynamic and geometric parameters, aneurysm location, and patient gender and age. Methods: Cross-sectional data from 1061 patients were used for image-based computational fluid dynamics and shape characterization of 1631 aneurysms for training an aneurysm rupture probability …
On The Qualitative Theory Of The Nonlinear Parabolic P-Laplacian Type Reaction-Diffusion Equations,
2018
Florida Institute of Technology
On The Qualitative Theory Of The Nonlinear Parabolic P-Laplacian Type Reaction-Diffusion Equations, Roqia Abdullah Jeli
Theses and Dissertations
This dissertation presents full classification of the evolution of the interfaces and asymptotics of the local solution near the interfaces and at infinity for the nonlinear second order parabolic p-Laplacian type reaction-diffusion equation of non-Newtonian elastic filtration ut − ( |ux| p−2 ux ) x +buβ = 0, p > 1, β > 0. (1) Nonlinear partial differential equation (1) is a key model example expressing competition between nonlinear diffusion with gradient dependent diffusivity in either slow (p > 2) or fast (1 < p < 2) regime and nonlinear state dependent reaction (b > 0) or absorption (b < 0) forces. If interface is finite, it may expand, shrink, or remain stationary as a result of the competition of the diffusion and reaction terms near the interface, expressed in terms of the parameters p, β,sign b, and asymptotics of the initial function near its support. In the fast diffusion regime strong domination of the diffusion causes infinite speed of propagation and interfaces are absent. In all cases with finite interfaces we prove the explicit formula for the interface and the local solution with accuracy up to constant coefficients. We prove explicit asymptotics of the local solution at infinity in all cases with infinite speed of propagation. The methods of the proof are generaliii ization of the methods developed in U.G. Abdulla & J. King, SIAM J. Math. Anal., 32, 2(2000), 235-260; U.G. Abdulla, Nonlinear Analysis, 50, 4(2002), 541-560 and based on rescaling laws for the nonlinear PDE and blow-up techniques for the identification of the asymptotics of the solution near the interfaces, construction of barriers using special comparison theorems in irregular domains with characteristic boundary curves.
Modeling Association In Microbial Communities With Clique Loginear Models,
2018
University of Washington
Modeling Association In Microbial Communities With Clique Loginear Models, Adrian Dobra, Camilo Valdes, Dragana Ajdic, Bertrand S. Clarke, Jennifer Clarke
Department of Mathematics: Faculty Publications
There is a growing awareness of the important roles that microbial communities play in complex biological processes. Modern investigation of these often uses next generation sequencing of metagenomic samples to determine community composition. We propose a statistical technique based on clique loglinear models and Bayes model averaging to identify microbial components in a metagenomic sample at various taxonomic levels that have significant associations. We describe the model class, a stochastic search technique for model selection, and the calculation of estimates of posterior probabilities of interest. We demonstrate our approach using data from the Human Microbiome Project and from a study …
Quantitative Appraisal Of Non-Irrigated Cropland In South Dakota,
2018
University of Nebraska - Lincoln
Quantitative Appraisal Of Non-Irrigated Cropland In South Dakota, Shelby Riggs
Honors Program: Senior Projects (Public)
This appraisal attempts to remove subjectivity from the appraisal process and replace it with quantitative analysis of known data to generate a fair market value of the subject property. Two methods of appraisal were used, the income approach and the comparable sales approach. For the income approach, I used the average cash rent for the region, the current property taxes for the subject property, and a capitalization rate based on Stokes' (2018) capitalization rate formula to arrive at my income-based valuation. For the comparable sales approach, I utilized Stokes' (2018) research in optimization modeling to estimate a market value for …
Quantitative Validation Of Simulated Sea Ice Displacements,
2018
University of New Mexico
Quantitative Validation Of Simulated Sea Ice Displacements, Bryan R. Mccormick
Mathematics & Statistics ETDs
Accurate simulations of Arctic sea ice are important for forecasting as well as for understanding the global climate. However, quantitative measures for simulation displacements are underutilized. We present five such measures proposed as being useful in the validation of simulated sea ice displacements. Using drifting buoy and satellite measurements of sea ice motion as observation, we apply the metrics in a comparison of observed displacements and predicted displacements from the Arctic sea ice simulation MPM\_ice. We find the metric scores are useful for comparing simulations and observations. The metrics also brought to light problems in the simulation MPM_ice, demonstrating their …
Cartan Triples,
2018
University of Nebraska-Lincoln
Cartan Triples, Allan P. Donsig, Adam H. Fuller, David R. Pitts
Department of Mathematics: Faculty Publications
We introduce the class of Cartan triples as a generalization of the notion of a Car- tan MASA in a von Neumann algebra. We obtain a one-to-one correspondence between Cartan triples and certain Clifford extensions of inverse semigroups. Moreover, there is a spectral theorem describing bimodules in terms of their support sets in the fundamental inverse semigroup and, as a corollary, an extension of Aoi’s theorem to this setting. This context contains that of Fulman’s generalization of Cartan MASAs and we discuss his generalization in an appendix.
Of Mice And Math: Four Models, Four Collaborations.,
2018
Pomona College
Of Mice And Math: Four Models, Four Collaborations., Ami Radunskaya
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Novel Cell-Based Model Of The Generation And Maintenance Of The Shape And Structure Of The Multi-Layered Shoot Apical Meristem Of Arabidopsis Thaliana,
2018
University of California, Riverside
Novel Cell-Based Model Of The Generation And Maintenance Of The Shape And Structure Of The Multi-Layered Shoot Apical Meristem Of Arabidopsis Thaliana, Mikahl Banwarth-Kuhn, Ali Nematbakhsh, Stephen Snipes, Kevin Rodriguez, Carolyn Rasmussen, G. Venugopala Reddy, Mark Alber
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge,
2018
University of Richmond
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analyzing Bigger Networks With Polynomial Algebra,
2018
Portland State University
Analyzing Bigger Networks With Polynomial Algebra, Ian H. Dinwoodie
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Application Of Data Assimilation In Forecasting Of Influenza In The United States,
2018
University of Arizona
Application Of Data Assimilation In Forecasting Of Influenza In The United States, Hannah Biegel
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases,
2018
University of Texas at San Antonio
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Semi-Tensor Product Representations Of Boolean Networks,
2018
Illinois State University
Semi-Tensor Product Representations Of Boolean Networks, Matthew Macauley
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Influence Of Canalization On The Robustness Of Finite Dynamical Systems,
2018
Illinois State University
The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Using Canalization For The Control Of Discrete Networks,
2018
University of Kentucky
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Influenza Outbreaks On A College Campus,
2018
University of Colorado Boulder
Modeling Influenza Outbreaks On A College Campus, Eli Goldwyn, Subekshya Bidari
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
