Browsing Department of Mathematics by Subject "Mathematical models"
Now showing items 1-14 of 14
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A Mathematical Model of Hepatitis C Virus Infection Incorporating Immune Responses and Cell Proliferation
(2017-08-03)This thesis introduces a mathematical model of differential equations for the chronic hepatitis C virus (HCV) infection, which is a contagious disease that infects the liver cells. Firstly, we present the early mathematical ... -
Competitive-Cooperative Processes and Stability of Diffusion Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1978)**Please note that the full text is embargoed** ABSTRACT: Very recently, the stability analysis of deterministic [12], random [12,13] competitive-cooperative process has been made in a systematic and unified way. It is ... -
The effect of the HIV/AIDS epidemic on Africa's truck drivers
(American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2005-10)The AIDS epidemic is having a growing impact on the transport sector of the economy of sub-Saharan Africa, where long-distance truck drivers are at an increased risk of infection due to their frequent contacts with ... -
Error Estimates of Solutions and Mean of Solutions of Stochastic Differential Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1981-08)**Please note that the full text is embargoed** ABSTRACT: Stochastic differential equations are considered. Estimates in terms of statistical properties are given for the difference between the solutions and solutions ... -
Impact of domestic animals on prevalence of vector-borne diseases in humans
(2020-06-05)Vector-borne infectious diseases are one of the leading problems for public health worldwide, particularly in underdeveloped and developing countries. These diseases infect humans through the bite of infected vectors. The ... -
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 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 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 ... -
A New Mathematical Approach to Biological Cell Rearrangement with Applications to the Inversion of Volvox
(University of Texas at ArlingtonDepartment of Mathematics, 1980-05)**Please note that the full text is embargoed** ABSTRACT: This paper develops a new method for modeling cell rearrangement in both two and three dimensions. The method uses classical molecular type forces and is computer ... -
On a Class of Bargaining Schemes for Points in the Core of a Cooperative N-Person Game
(University of Texas at ArlingtonDepartment of Mathematics, 1991-05)**Please note that the full text is embargoed** ABSTRACT: Projection methods of solving convex feasibility problems lead naturally to a class of bargaining scheme's for points in the core of cooperative n-person games. ... -
Probability of Selecting the "Correct" Model and Determination of Sample Size in Regression
(University of Texas at ArlingtonDepartment of Mathematics, 1982-04)**Please note that the full text is embargoed** ABSTRACT: Selection of variables in multiple linear regression is a common problem in model building. Let the "correct" model be the model which includes all variables that ... -
A Systems-Theory Approach to the Analysis of Multiexponential Fluorescence Decay
(University of Texas at ArlingtonDepartment of Mathematics, 1978-08)**Please note that the full text is embargoed** ABSTRACT: A mathematical model of the fluorescence decay experiment based on linear systems theory is presented. The model suggests an experimental technique which increases ... -
The Threshold Problem for Fitzhugh-Nagumo Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1981-03)**Please note that the full text is embargoed** -
Transmission dynamics and underreporting of Kala-azar in the Indian State of Bihar
(Department of Mathematics, University of Texas at Arlington, 2010)"Kala-azar" (or Indian Visceral Leishmaniasis) is a vector-borne infectious dis- ease affecting communities in tropical and subtropical areas of the world. Bihar, a state in India, has one of the highest prevalence and ...