Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 14 of 14
Full-Text Articles in Entire DC Network
An Investigation Of Traveling-Wave Electrophoresis Using A Trigonometric Potential, James Vopal
An Investigation Of Traveling-Wave Electrophoresis Using A Trigonometric Potential, James Vopal
Graduate Theses, Dissertations, and Problem Reports
Traveling-wave electrophoresis, a technique for microfluidic separations in lab-on-achip devices, is investigated using a trigonometric model that naturally incorporates the spatial periodicity of the device. Traveling-wave electrophoresis can be used to separate high-mobility ions from low-mobility ions in forensic and medical applications, with a separation threshold that can be tuned for specific applications by simply choosing the traveling wave frequency. Our simulations predict plateaus in the average ion velocity verses the mobility, plateaus that correspond to Farey fractions and yield Devil's staircases for non-zero discreteness values. The plateaus indicate that ions with different mobilities can travel with the same average …
Discrete Time Dynamic Traffic Assignment Models With Lane Reversals For Evacuation Planning, Yeh-Ern Poh
Discrete Time Dynamic Traffic Assignment Models With Lane Reversals For Evacuation Planning, Yeh-Ern Poh
Graduate Theses, Dissertations, and Problem Reports
In an event of a natural or man-made disaster, an evacuation is likely to be called for to move residents away from potentially hazardous areas. Road congestion and traffic stalling is a common occurrence as residents evacuate towns and cities for safe refuges. Lane reversal, or contra-flow, is a remedy to increase outbound flow capacities from disaster areas which in turn will reduce evacuation time of evacuees during emergency situations. This thesis presents a discrete-time traffic assignment system with lane reversals which incorporates multiple sources and multiple destinations to predict optimal traffic flow at various times throughout the entire planning …
Circuits, Perfect Matchings And Paths In Graphs, Wenliang Tang
Circuits, Perfect Matchings And Paths In Graphs, Wenliang Tang
Graduate Theses, Dissertations, and Problem Reports
We primarily consider the problem of finding a family of circuits to cover a bidgeless graph (mainly on cubic graph) with respect to a given weight function defined on the edge set. The first chapter of this thesis is going to cover all basic concepts and notations will be used and a survey of this topic.;In Chapter two, we shall pay our attention to the Strong Circuit Double Cover Conjecture (SCDC Conjecture). This conjecture was verified for some graphs with special structure. As the complement of two factor in cubic graph, the Berge-Fulkersen Conjecture was introduced right after SCDC Conjecture. …
Connectivity And Spanning Trees Of Graphs, Xiaofeng Gu
Connectivity And Spanning Trees Of Graphs, Xiaofeng Gu
Graduate Theses, Dissertations, and Problem Reports
This dissertation focuses on connectivity, edge connectivity and edge-disjoint spanning trees in graphs and hypergraphs from the following aspects.;1. Eigenvalue aspect. Let lambda2(G) and tau( G) denote the second largest eigenvalue and the maximum number of edge-disjoint spanning trees of a graph G, respectively. Motivated by a question of Seymour on the relationship between eigenvalues of a graph G and bounds of tau(G), Cioaba and Wong conjectured that for any integers d, k ≥ 2 and a d-regular graph G, if lambda 2(G)) < d -- 2k-1d+1 , then tau(G) ≥ k. They proved the conjecture for k = 2, 3, and presented evidence for the cases when k ≥ 4. We propose a more general conjecture that for a graph G with minimum degree delta ≥ 2 k ≥ 4, if lambda2(G) < delta -- 2k-1d+1 then tau(G) ≥ k. We prove the conjecture for k = 2, 3 and provide partial results for k ≥ 4. We also prove that for a graph G with minimum degree delta ≥ k ≥ 2, if lambda2( G) < delta -- 2k-1d +1 , then the edge connectivity is at least k. As corollaries, we investigate the Laplacian and signless Laplacian eigenvalue conditions on tau(G) and edge connectivity.;2. Network reliability aspect. With graphs considered as natural models for many network design problems, edge connectivity kappa'(G) and maximum number of edge-disjoint spanning trees tau(G) of a graph G have been used as measures for reliability and strength in communication networks modeled as graph G. Let kappa'(G) = max{lcub}kappa'(H) : H is a subgraph of G{rcub}. We present: (i) For each integer k > 0, a characterization for graphs G with the property that kappa'(G) ≤ k but for any additional …
Nanocapillary Membrane Devices: A Study In Electrokinetic Transport Phenomena, Jarrod Schiffbauer
Nanocapillary Membrane Devices: A Study In Electrokinetic Transport Phenomena, Jarrod Schiffbauer
Graduate Theses, Dissertations, and Problem Reports
There is considerable interest in developing micro-total analysis systems, also known as lab-on-a-chip devices, for applications in chemical and biological analysis. These devices often employ electrokinetic transport phenomena to move, mix, concentrate and separate dissolved species. The details of these phenomena in micro- and nanometer scale geometries are not fully understood; consequently, the basic principles of device operation are often unclear. For example, nanocapillary membranes (NCM) and other nanometer-sized passages can exhibit charge-selectivity and rectification effects similar to those observed in biological membranes. This dissertation addresses several issues related to ion transport in these membranes. Leading-order 1D steady-state models for …
Mathematical Modeling And Analysis Of Epidemiological And Chemical Systems, Calistus N. Ngonghala
Mathematical Modeling And Analysis Of Epidemiological And Chemical Systems, Calistus N. Ngonghala
Graduate Theses, Dissertations, and Problem Reports
This dissertation focuses on three interdisciplinary areas of applied mathematics, mathematical biology/epidemiology, economic epidemiology and mathematical physics, interconnected by the concepts and applications of dynamical systems.;In mathematical biology/epidemiology, a new deterministic SIS modeling framework for the dynamics of malaria transmission in which the malaria vector population is accounted for at each of its developmental stages is proposed. Rigorous qualitative and quantitative techniques are applied to acquire insights into the dynamics of the model and to identify and study two epidemiological threshold parameters reals* and R0 that characterize disease transmission and prevalence, and that can be used for disease control. It …
Group Colorability And Hamiltonian Properties Of Graphs, Hao Li
Group Colorability And Hamiltonian Properties Of Graphs, Hao Li
Graduate Theses, Dissertations, and Problem Reports
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected line graph is hamiltonian and by the conjecture of Matthews and Sumner that every 4-connected claw-free graph is hamiltonian. Towards the hamiltonian line graph problem, we proved that every 3-edge-connected, essentially 4-edge-connected graph G has a spanning eulerian subgraph, if for every pair of adjacent vertices u and v, dG(u) + dG(v) ≥ 9. A straight forward corollary is that every 4-connected, essentially 6-connected line graph with minimum degree at least 7 is hamiltonian.;We also investigate graphs G such that the line graph L(G) is …
Reduced Order Model Of A Spouted Fluidized Bed Utilizing Proper Orthogonal Decomposition, Stephanie R. Beck-Roth
Reduced Order Model Of A Spouted Fluidized Bed Utilizing Proper Orthogonal Decomposition, Stephanie R. Beck-Roth
Graduate Theses, Dissertations, and Problem Reports
A reduced order model utilizing proper orthogonal decomposition for approximation of gas and solids velocities as well as pressure, solids granular temperature and gas void fraction for use in multiphase incompressible fluidized beds is developed and presented. The methodology is then tested on data representing a flat-bottom spouted fluidized bed and comparative results against the software Multiphase Flow with Interphase eXchanges (MFIX) are provided. The governing equations for the model development are based upon those implemented in the (MFIX) software. The three reduced order models explored are projective, extrapolative and interpolative. The first is an extension of the system solution …
Modeling Of Heat Transfer And Reactive Chemistry For Particles In Gas-Solid Flow Utilizing Continuum-Discrete Methodology (Cdm), Jordan M. H. Musser
Modeling Of Heat Transfer And Reactive Chemistry For Particles In Gas-Solid Flow Utilizing Continuum-Discrete Methodology (Cdm), Jordan M. H. Musser
Graduate Theses, Dissertations, and Problem Reports
A comprehensive multi-phase flow model requires coupled hydrodynamics, boundary conditions, heat and mass transfer, and chemical reaction kinetics. A model must also capture the multi-scale nature of these problems. Computational fluid dynamics-discrete element method (CFD-DEM) provides an accurate description of chemical reactions and heat and mass transfer at the particle scale. Currently, MFIX-DEM, the existing CFD-DEM used as the foundation for this work, can only model coupled hydrodynamics. This dissertation extends the functionality of MFIX-DEM by addressing the remaining deficiencies in three separate efforts.;The first effort outlined in this dissertation focuses on the algorithmic development of discrete mass inflow and …
B-Splines In Emd And Graph Theory In Pattern Recognition, Qin Wu
B-Splines In Emd And Graph Theory In Pattern Recognition, Qin Wu
Graduate Theses, Dissertations, and Problem Reports
With the development of science and technology, a large amount of data is waiting for further scientific exploration. We can always build up some good mathematical models based on the given data to analyze and solve the real life problems. In this work, we propose three types of mathematical models for different applications.;In chapter 1, we use Bspline based EMD to analysis nonlinear and no-stationary signal data. A new idea about the boundary extension is introduced and applied to the Empirical Mode Decomposition(EMD) algorithm. Instead of the traditional mirror extension on the boundary, we propose a ratio extension on the …
A Novel Global Pattern Recognition Algorithm, Joseph M. Stoffa
A Novel Global Pattern Recognition Algorithm, Joseph M. Stoffa
Graduate Theses, Dissertations, and Problem Reports
The background, development, performance assessment, and analysis of a novel pattern recognition algorithm that is applicable to any set of binary images are discussed. The efficacy of the algorithm when applied to the problem of fingerprint recognition is quantified. The conclusion was that the algorithm is relatively poor as a fingerprint identification algorithm, averaging an equal error rate of approximately 19% as calculated by the rules specified in the Year 2000 Fingerprint Verification Competition. The positive attributes of the algorithm were its ultra-fast matching times, orientation independence, lack of rejection events, relative insensitivity to resolution difference, and one-way transformations. The …
Three Essays On Caps Market And Unspanned Volatility, Harumi Hattori
Three Essays On Caps Market And Unspanned Volatility, Harumi Hattori
Graduate Theses, Dissertations, and Problem Reports
In this thesis we study the caps market. Caps are a contract where the interest rates are capped at some fixed value r¯. Caps consist of caplets which are European options on the forward rates called LIBOR (the London Inter-Bank Offer Rates). Caps are the derivatives of LIBOR. However, their relation is not so simple as the relation between a stock and its derivatives. One important difference is that the volatility in one market does not affect the volatility of the other market as much as in the stock and its derivative markets. This phenomenon is termed unspanned stochastic volatility …
Phase Transition Problems Of Conservation Laws, Chunguang Chen
Phase Transition Problems Of Conservation Laws, Chunguang Chen
Graduate Theses, Dissertations, and Problem Reports
In this thesis we study phase transition problems of conservation laws. Phase transition problems arise from various applications such as gas dynamics, mechanics and material science. Conservation laws involving phase change is an attractive field in applied mathematics. Solutions to phase transition problems are complicated for the presence of boundaries between different phases. In addition to entropy condition, criteria such as kinetic relation [1, 3] and nucleation criterion are introduced to determine the configurations of solutions.;In Chapter 1, we construct two numerical procedures to solve the Riemann problems for a system of conservation laws with phase change. We first find …
Mathematical Modeling In Understanding Nfkb Signaling Pathway, Huanling Liu
Mathematical Modeling In Understanding Nfkb Signaling Pathway, Huanling Liu
Graduate Theses, Dissertations, and Problem Reports
Chronic diseases, cancers and diabetes are associated with dysregulation of many biochemical cues. These biochemical cues are proteins that regulate cellular activity migration and death. The synthesis of these proteins is regulated by nuclear transcription factors. One of the most studied transcription factor is nuclear factor kappa B (NFkappaB). Many different proteins have been identified that regulate the activity of NFkappaB. Yet, how these proteins regulate NFkappaB is still unclear.;Understanding the regulation of NFkappaB is important for developing drugs to treat these diseases. Our long term goal is to understand the mechanisms that regulate NFkappaB activity. The goal of this …