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Full-Text Articles in Physical Sciences and Mathematics
Controlling Infectious Disease: Prevention And Intervention Through Multiscale Models, Adrienna N. Bingham
Controlling Infectious Disease: Prevention And Intervention Through Multiscale Models, Adrienna N. Bingham
Dissertations, Theses, and Masters Projects
Controlling infectious disease spread and preventing disease onset are ongoing challenges, especially in the presence of newly emerging diseases. While vaccines have successfully eradicated smallpox and reduced occurrence of many diseases, there still exists challenges such as fear of vaccination, the cost and difficulty of transporting vaccines, and the ability of attenuated viruses to evolve, leading to instances such as vaccine derived poliovirus. Antibiotic resistance due to mistreatment of antibiotics and quickly evolving bacteria contributes to the difficulty of eradicating diseases such as tuberculosis. Additionally, bacteria and fungi are able to produce an extracellular matrix in biofilms that protects them …
The Logarithmic Method And The Solution To The Tp2-Completion Problem, Shahla Nasserasr
The Logarithmic Method And The Solution To The Tp2-Completion Problem, Shahla Nasserasr
Dissertations, Theses, and Masters Projects
A matrix is called TP2 if all 1-by-1 and 2-by-2 minors are positive. A partial matrix is one with some of its entries specified, while the remaining, unspecified, entries are free to be chosen. A TP2-completion, of a partial matrix T , is a choice of values for the unspecified entries of T so that the resulting matrix is TP2. The TP2-completion problem asks which partial matrices have a TP2-completion. A complete solution is given here. It is shown that the Bruhat partial order on permutations is the inverse of a certain natural partial order induced by TP2 matrices and …
Calculation Of Equilibrants For Semipositive Matrices, Zheng Tong
Calculation Of Equilibrants For Semipositive Matrices, Zheng Tong
Dissertations, Theses, and Masters Projects
No abstract provided.
A Bayesian Network Approach To Feature Selection In Mass Spectrometry Data, Karl W. Kuschner
A Bayesian Network Approach To Feature Selection In Mass Spectrometry Data, Karl W. Kuschner
Dissertations, Theses, and Masters Projects
One of the key goals of current cancer research is the identification of biologic molecules that allow non-invasive detection of existing cancers or cancer precursors. One way to begin this process of biomarker discovery is by using time-of-flight mass spectroscopy to identify proteins or other molecules in tissue or serum that correlate to certain cancers. However, there are many difficulties associated with the output of such experiments. The distribution of protein abundances in a population is unknown, the mass spectroscopy measurements have high variability, and high correlations between variables cause problems with popular methods of data mining. to mitigate these …
Dynamic Adaptation To Cpu And Memory Load In Scientific Applications, Richard Tran Mills
Dynamic Adaptation To Cpu And Memory Load In Scientific Applications, Richard Tran Mills
Dissertations, Theses, and Masters Projects
As commodity computers and networking technologies have become faster and more affordable, fairly capable machines have become nearly ubiquitous while the effective "distance" between them has decreased as network connectivity and capacity has multiplied. There is considerable interest in developing means to readily access such vast amounts of computing power to solve scientific problems, but the complexity of these modern computing environments pose problems for conventional computer codes designed to run on a static, homogeneous set of resources. One source of problems is the heterogeneity that is naturally present in these settings. More problematic is the competition that arises between …
On Certain Sets Of Matrices: Euclidean Squared Distance Matrices, Ray-Nonsingular Matrices And Matrices Generated By Reflections, Thomas W. Milligan
On Certain Sets Of Matrices: Euclidean Squared Distance Matrices, Ray-Nonsingular Matrices And Matrices Generated By Reflections, Thomas W. Milligan
Dissertations, Theses, and Masters Projects
In this dissertation, we study three different sets of matrices. First, we consider Euclidean distance squared matrices. Given n points in Euclidean space, we construct an n x n Euclidean squared distance matrix by assigning to each entry the square of the pairwise interpoint Euclidean distance. The study of distance matrices is useful in computational chemistry and structural molecular biology. The purpose of the first part of the thesis is to better understand this set of matrices and its different characterizations so that a number of open problems might be answered and known results improved. We look at geometrical properties …
Spontaneous Pulse Formation In Bistable Systems, George A. Andrews
Spontaneous Pulse Formation In Bistable Systems, George A. Andrews
Dissertations, Theses, and Masters Projects
This thesis considers localized spontaneous pulse formation in nonlinear, dissipative systems that are far from equilibrium and which exhibit bistability. It is shown that such pulses can form in systems that are dominated by the combined effects of: (1) a saturable amplifying or gain region, (2) a saturable absorbing or loss region, and (3) cavity effects. Analysis is based upon novel models for both an inertialess material in which the absorber responds instantaneously and inertial material in which there is temporal delay in the response. Additionally, we include the situation where the material does not fully relax between pulses, i.e. …
Simulation And Numerical Solution Of Stochastic Petri Nets With Discrete And Continuous Timing, Robert Linzey Jones Iii
Simulation And Numerical Solution Of Stochastic Petri Nets With Discrete And Continuous Timing, Robert Linzey Jones Iii
Dissertations, Theses, and Masters Projects
We introduce a novel stochastic Petri net formalism where discrete and continuous phase-type firing delays can appear in the same model. By capturing deterministic and generally random behavior in discrete or continuous time, as appropriate, the formalism affords higher modeling fidelity and efficiencies to use in practice. We formally specify the underlying stochastic process as a general state space Markov chain and show that it is regenerative, thus amenable to renewal theory techniques to obtain steady-state solutions. We present two steady-state analysis methods depending on the class of problem: one using exact numerical techniques, the other using simulation. Although regenerative …
Algorithms For Operations On Probability Distributions In A Computer Algebra System, Diane Lynn Evans
Algorithms For Operations On Probability Distributions In A Computer Algebra System, Diane Lynn Evans
Dissertations, Theses, and Masters Projects
In mathematics and statistics, the desire to eliminate mathematical tedium and facilitate exploration has lead to computer algebra systems. These computer algebra systems allow students and researchers to perform more of their work at a conceptual level. The design of generic algorithms for tedious computations allows modelers to push current modeling boundaries outward more quickly.;Probability theory, with its many theorems and symbolic manipulations of random variables is a discipline in which automation of certain processes is highly practical, functional, and efficient. There are many existing statistical software packages, such as SPSS, SAS, and S-Plus, that have numeric tools for statistical …
Totally Nonnegative Matrices, Shaun M. Fallat
Totally Nonnegative Matrices, Shaun M. Fallat
Dissertations, Theses, and Masters Projects
An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of every square submatrix (i.e., minor) of A is nonnegative (resp. positive). The class of totally nonnegative matrices has been studied considerably, and this class arises in a variety of applications such as differential equations, statistics, mathematical biology, approximation theory, integral equations and combinatorics. The main purpose of this thesis is to investigate several aspects of totally nonnegative matrices such as spectral problems, determinantal inequalities, factorizations and entry-wise products. It is well-known that the eigenvalues of a totally nonnegative matrix are nonnegative. However, there are many …
Discrete-Time Linear And Nonlinear Aerodynamic Impulse Responses For Efficient Cfd Analyses, Walter A. Silva
Discrete-Time Linear And Nonlinear Aerodynamic Impulse Responses For Efficient Cfd Analyses, Walter A. Silva
Dissertations, Theses, and Masters Projects
This dissertation discusses the mathematical existence and the numerical identification of linear and nonlinear aerodynamic impulse response functions. Differences between continuous-time and discrete-time system theories, which permit the identification and efficient use of these functions, will be detailed. Important input/output definitions and the concept of linear and nonlinear systems with memory will also be discussed. It will be shown that indicial (step or steady) responses (such as Wagner's function), forced harmonic responses (such as Theodorsen's function or those from doublet lattice theory), and responses to random inputs (such as gusts) can all be obtained from an aerodynamic impulse response function. …
Structured Eigenvectors, Interlacing, And Matrix Completions, Brenda K. Kroschel
Structured Eigenvectors, Interlacing, And Matrix Completions, Brenda K. Kroschel
Dissertations, Theses, and Masters Projects
This dissertation presents results from three areas of applicable matrix analysis: structured eigenvectors, interlacing, and matrix completion problems. Although these are distinct topics, the structured eigenvector results provide connections.;It is a straightforward matrix calculation that if {dollar}\lambda{dollar} is an eigenvalue of A, x an associated structured eigenvector and {dollar}\alpha{dollar} the set of positions in which x has nonzero entries, then {dollar}\lambda{dollar} is also an eigenvalue of the submatrix of A that lies in the rows and columns indexed by {dollar}\alpha{dollar}. We present a converse to this statement and apply the results to interlacing and to matrix completion problems. Several corollaries …
Completion Of Partial Operator Matrices, M.(Mihaly) Bakonyi
Completion Of Partial Operator Matrices, M.(Mihaly) Bakonyi
Dissertations, Theses, and Masters Projects
This work concerns completion problems for partial operator matrices. A partial matrix is an m-by-n array in which some entries are specified and the remaining are unspecified. We allow the entries to be operators acting between corresponding vector spaces (in general, bounded linear operators between Hilbert spaces). Graphs are associated with partial matrices. Chordal graphs and directed graphs with a perfect edge elimination scheme play a key role in our considerations. A specific choice for the unspecified entries is referred to as a completion of the partial matrix. The completion problems studied here involve properties such as: zero-blocks in certain …
A Structural Factoring Approach For Analyzing Probabilistic Networks, Kelly J. Hayhurst
A Structural Factoring Approach For Analyzing Probabilistic Networks, Kelly J. Hayhurst
Dissertations, Theses, and Masters Projects
No abstract provided.
Numerical Experiments With The Multi-Grid Method, Theodore Craig Poling
Numerical Experiments With The Multi-Grid Method, Theodore Craig Poling
Dissertations, Theses, and Masters Projects
No abstract provided.
Steepest Descent Techniques For Operator Equations, William T. Suit
Steepest Descent Techniques For Operator Equations, William T. Suit
Dissertations, Theses, and Masters Projects
No abstract provided.
A Study Of Unique Factorization Domains, James D. Harris
A Study Of Unique Factorization Domains, James D. Harris
Dissertations, Theses, and Masters Projects
No abstract provided.
Numerical Integration Of Systems With Large Frequency Ratios, James Thompson Howlett
Numerical Integration Of Systems With Large Frequency Ratios, James Thompson Howlett
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Solution To Partial Differential Equations By Means Of Bergman's Integral Operator, George R. Young
On The Solution To Partial Differential Equations By Means Of Bergman's Integral Operator, George R. Young
Dissertations, Theses, and Masters Projects
No abstract provided.
Fourier Transforms In Euclidean K Space, Terry A. Straeter
Fourier Transforms In Euclidean K Space, Terry A. Straeter
Dissertations, Theses, and Masters Projects
No abstract provided.
Comparative Definitions Of The Derivative, Richard Francis Barry
Comparative Definitions Of The Derivative, Richard Francis Barry
Dissertations, Theses, and Masters Projects
No abstract provided.
The Uniform And Uniform Stieltjes Integrals, Barry James Walsh
The Uniform And Uniform Stieltjes Integrals, Barry James Walsh
Dissertations, Theses, and Masters Projects
No abstract provided.
Matrix Approach To Quadric Surfaces, Maria Vallas
Matrix Approach To Quadric Surfaces, Maria Vallas
Dissertations, Theses, and Masters Projects
No abstract provided.
On The Proof Of Cauchy's Theorem, Raoul Louis Weinstein
On The Proof Of Cauchy's Theorem, Raoul Louis Weinstein
Dissertations, Theses, and Masters Projects
No abstract provided.
Analogous Concepts Of Normal Subgroups And Ideals, Ellen Joyce Stone
Analogous Concepts Of Normal Subgroups And Ideals, Ellen Joyce Stone
Dissertations, Theses, and Masters Projects
No abstract provided.
On Hereditary Properties Of Topological Spaces, John Turner Conway
On Hereditary Properties Of Topological Spaces, John Turner Conway
Dissertations, Theses, and Masters Projects
No abstract provided.
On Perfect Numbers, David Thomas Eastham
On Perfect Numbers, David Thomas Eastham
Dissertations, Theses, and Masters Projects
No abstract provided.
Bounds For The Eigenvalues Of A Matrix, Kenneth Ross Garren
Bounds For The Eigenvalues Of A Matrix, Kenneth Ross Garren
Dissertations, Theses, and Masters Projects
No abstract provided.
Characterizations Of Real Linear Algebras, Anthony Paul Cotroneo
Characterizations Of Real Linear Algebras, Anthony Paul Cotroneo
Dissertations, Theses, and Masters Projects
No abstract provided.
Symmetric Functions, Neil Hiden Drummond
Symmetric Functions, Neil Hiden Drummond
Dissertations, Theses, and Masters Projects
No abstract provided.