Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 70-89 of 154
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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 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, ... -
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 ... -
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 ... -
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 ... -
A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions
(Mathematics, 2014-09-17)A systematic method is developed to obtain solution formulas for certain explicit solutions to integrable nonlinear partial differential equations in two spatial variables and one time variable. The method utilizes an ... -
Modeling an M/M/1 Queue with unreliable service and a working vacation
(2019-05-08)We define the new term ’unreliable service’ where the service itself is unreliable (i.e. may fail). We discuss how this differs from the current literature, and give examples showing just how common this phenomena is in ... -
Modeling Plant Virus Propagation and an Optimal Control
(2018-08-10)Plants are a food source for man and many species. They also are sources of medicines, fibers for clothes, and are essential for a healthy environment. But plants are subject to diseases many of which are caused by ... -
A Modeling Study In The Regulation Of Stress On Neuronal Plasticity
How stress can affect human cognitive functions has been a very popular topic for researchers from different fields including physiology, psychology, biology, neuroscience, and applied mathematics. Hypothalamic−pituitary−adrenal ... -
MODELING THE EFFECTS OF THE IMMUNE SYSTEM ON BONE FRACTURE HEALING
(2019-05-14)Bone fracture healing is a complex biological process that results in a full reconstruction of the bone. However, it is not always an easy and successful process. Indeed, in some unfavorable conditions, the bone fracture ... -
New Development of Grid Generation and Image Analysis
(2020-08-05)Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts. The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ... -
New Developments Of The Deformation Method
(Mathematics, 2007-08-23)New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ... -
A New Method For Non-rigid Registration Of 3d Images
(Mathematics, 2009-09-16)In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ... -
New Results In Finite Geometries Pertaining To Albert-like Semifields
(Mathematics, 2012-07-25)One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ... -
Nilpotent Lie Algebras And Nilmanifolds Constructed From Graphs
The interaction between graph theory and differential geometry has been studied previously, but S. Dani and M. Mainkar brought a new approach to this study by associating a two-step nilpotent Lie algebra (and thereby a ... -
Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis
(Mathematics, 2010-03-03)This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and socio-mathematical norms (Cobb & Yackel, 1996) to understand how non-traditional socio-mathematical norms influence student reasoning ...