Browsing Department of Mathematics by Title
Now showing items 243-262 of 570
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Mathematical Analysis Of Allelopathy And Resource Competition Models
(Mathematics, 2008-08-08)Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limited-resource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. ... -
Mathematical Analysis of Stress Relaxation in Articular Cartilage During Compression
(University of Texas at ArlingtonDepartment of Mathematics, 1977-02)**Please note that the full text is embargoed** ABSTRACT: Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage ... -
The Mathematical and Theoretical Biology Institute - a model of mentorship through research
(American Instutute of Mathematical SciencesDepartment of Mathematics; Department of Curriculum and Instruction, University of Texas at Arlington, 2013)This article details the history, logistical operations, and design philosophy of the Mathematical and Theoretical Biology Institute (MTBI), a nationally recognized research program with an 18-year history of mentoring ... -
MATHEMATICAL APPROACH OF LIUTEX CORE LINE AND LIUTEX CORE TUBE FOR VORTEX STRUCTURE VISUALIZATION
(2021-06-10)During the past decades, many vortex identification methods have been published to present a clear definition and identification of the vortex. However, all these methods are failed to offer a unique identification method, ... -
A Mathematical Curiosity in Estimating the Radius of the First Ring Electrons of an Arbitary Atom
(University of Texas at ArlingtonDepartment of Mathematics, 1984)**Please note that the full text is embargoed** ABSTRACT: In this note, we explore an elementary method for approximating the radii and speeds of first ring electrons in atoms. The approach uses only a single algebraic ... -
MATHEMATICAL METHODS FOR VORTEX IDENTIFICATION WITH APPLICATION ON SHOCK WAVE VORTEX RING INTERACTION
(2017-06-08)Vortices are seen everywhere in nature, from smoke rings to tornadoes. Vortical structures play an essential role in the turbulence dynamics such as turbulence generation, kinetic energy production and dissipation, enhancement ... -
A Mathematical Model For Swine Flu 2009 With Vaccination
(Mathematics, 2011-10-11)H1N1 influenza is one of the deadliest diseases in human's history. Swine Flu 2009 is the same virus and it was named in 2009. Vaccination is of the most common ways to control a disease. We offer a new vaccination model ... -
Mathematical Modeling in Medicine
(University of Texas at ArlingtonDepartment of Mathematics, 1976-09)**Please note that the full text is embargoed** ABSTRACT: Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, ... -
Mathematical Modeling of a Network of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures
(2019-11-21)Epilepsy is a complex phenomena of a system of neurons simultaneously firing that are highly intensive and synchronized. Seizures are a common and well known physical feature for all types of epileptic disorders [8]. ... -
Mathematical Modeling of Scavengers and Zebras on the African Savanna with Disease Dynamics
(2020-09-01)The purpose of this dissertation is to use mathematical models to see how anthrax in the zebra population in Etosha National Park (ENP) interacts with scavenger populations and disease dynamics. First, we study if scavengers ... -
Mathematical Modeling of the Bone Remodeling Process
(2018-08-10)The skeleton is a very important organ that needs to be continuously remodeled due to microdamage, changes in mechanical loading, or mineral homeostasis. The bone remodeling process is responsible for maintaining the ... -
MATHEMATICAL MODELING OF ZIKA VIRUS TRANSMISSION AND MULTIPLE PATHOGEN INTERACTIONS
(2019-05-01)The purpose of this dissertation is twofold: to deepen our understanding of the complex transmission routes of the Zika virus (ZIKV), and to study multiple pathogen interactions (specifically cocirculation of Zika and ... -
Mathematical Models Of Nutrient Recycling And Toxin Production In A Gradostat
(Mathematics, 2013-10-23)We discuss several gradostat models in which a microbial population excretes a biochemical that can get recycled back into the system as a nutrient source. Each mathematical model consists of six ordinary differential ... -
Mathematical Models of Porous Flow
(University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1978-10)**Please note that the full text is embargoed** ABSTRACT: In this paper a new, viable mathematical approach to the analysis of porous flow is developed. Liquids and solids are modeled as sets of particles which interact ... -
Matrix Fields Over the Integers Modulo m
(University of Texas at ArlingtonDepartment of Mathematics, 1974-10)**Please note that the full text is embargoed** ABSTRACT: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual ... -
Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1975-06)**Please note that the full text is embargoed** ABSTRACT: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result ... -
Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1974-04)**Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ... -
Mechanism of Hairpin Vortex Formation by Liutex
(2023-05-11)Turbulence is still a mystery for human after more than one century’s development of fluid dynamics. Hairpin vortex formation is regarded as an essential process for a laminar flow transition to the turbulent flow. A new ... -
Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem
(University of Texas at ArlingtonDepartment of Mathematics, 1992-10)**Please note that the full text is embargoed** ABSTRACT: For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, ... -
A metapopulation model for sylvatic T. cruzi transmission with vector migration
(American Institute of Mathematical ScienceDepartment of Mathematics, University of Texas at Arlington, 2014-06)This study presents a metapopulation model for the sylvatic transmission of Trypanosoma cruzi, the etiological agent of Chagas' disease, across multiple geographical regions and multiple overlapping host-vector ...