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Mathematics

2016

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Articles 31 - 60 of 1453

Full-Text Articles in Physical Sciences and Mathematics

The Subject Librarian Newsletter, Mathematics, Fall 2016, Sandy Avila Dec 2016

The Subject Librarian Newsletter, Mathematics, Fall 2016, Sandy Avila

Libraries' Newsletters

No abstract provided.

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Discovery Of An Enzyme And Substrate Selective Inhibitor Of Adam10 Using An Exosite-Binding Glycosylated Substrate, Franck Madoux, Daniela Dreymuller, Jean-Phillipe Pettiloud, Radleigh Santos, Christoph Becker-Pauly, Andreas Ludwig, Gregg B. Fields, Thomas Bannister, Timothy P. Spicer, Mare Cudic, Louis D. Scampavia, Dmitriy Minond Dec 2016

Discovery Of An Enzyme And Substrate Selective Inhibitor Of Adam10 Using An Exosite-Binding Glycosylated Substrate, Franck Madoux, Daniela Dreymuller, Jean-Phillipe Pettiloud, Radleigh Santos, Christoph Becker-Pauly, Andreas Ludwig, Gregg B. Fields, Thomas Bannister, Timothy P. Spicer, Mare Cudic, Louis D. Scampavia, Dmitriy Minond

Mathematics Faculty Articles

ADAM10 and ADAM17 have been shown to contribute to the acquired drug resistance of HER2-positive breast cancer in response to trastuzumab. The majority of ADAM10 and ADAM17 inhibitor development has been focused on the discovery of compounds that bind the active site zinc, however, in recent years, there has been a shift from active site to secondary substrate binding site (exosite) inhibitor discovery in order to identify non-zinc-binding molecules. In the present work a glycosylated, exosite-binding substrate of ADAM10 and ADAM17 was utilized to screen 370,276 compounds from the MLPCN collection. As a result of this uHTS effort, a selective, …

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Local Lagged Adapted Generalized Method Of Moments And Applications, Olusegun Michael Otunuga, Gangaram S. Ladde, Nathan G. Ladde Dec 2016

Local Lagged Adapted Generalized Method Of Moments And Applications, Olusegun Michael Otunuga, Gangaram S. Ladde, Nathan G. Ladde

Mathematics Faculty Research

In this work, an attempt is made for developing the local lagged adapted generalized method of moments (LLGMM). This proposed method is composed of: (1) development of the stochastic model for continuous-time dynamic process, (2) development of the discrete-time interconnected dynamic model for statistic process, (3) utilization of Euler-type discretized scheme for nonlinear and non-stationary system of stochastic differential equations, (4) development of generalized method of moment/observation equations by employing lagged adaptive expectation process, (5) introduction of the conceptual and computational parameter estimation problem, (6) formulation of the conceptual and computational state estimation scheme and (7) definition of the conditional …

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Privacy Protection And Aggregate Health Data: A Review Of Tabular Cell Suppression Methods (Not) Employed In Public Health Data Systems, Gregory J. Matthews, Ofer Harel, Robert H. Aseltine Jr. Dec 2016

Privacy Protection And Aggregate Health Data: A Review Of Tabular Cell Suppression Methods (Not) Employed In Public Health Data Systems, Gregory J. Matthews, Ofer Harel, Robert H. Aseltine Jr.

Mathematics and Statistics: Faculty Publications and Other Works

Public health research often relies on individuals’ confidential medical data. Therefore, data collecting entities, such as states, seek to disseminate this medical data as widely as possible while still maintaining the privacy of the individual for legal and ethical reasons. One common way in which this medical data is released is through the use of Web-based Data Query Systems (WDQS). In this article, we examined WDQS listed in the National Association for Public Health Statistics and Information Systems (NAPHSIS) specifically reviewing them for how they prevent statistical disclosure in queries that produce a tabular response. One of the most common …

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Microstructural Analysis Of Thermoelastic Response, Nonlinear Creep, And Pervasive Cracking In Heterogeneous Materials, Alden C. Cook Dec 2016

Microstructural Analysis Of Thermoelastic Response, Nonlinear Creep, And Pervasive Cracking In Heterogeneous Materials, Alden C. Cook

Electronic Theses and Dissertations

This dissertation is concerned with the development of robust numerical solution procedures for the generalized micromechanical analysis of linear and nonlinear constitutive behavior in heterogeneous materials. Although the methods developed are applicable in many engineering, geological, and materials science fields, three main areas are explored in this work. First, a numerical methodology is presented for the thermomechanical analysis of heterogeneous materials with a special focus on real polycrystalline microstructures obtained using electron backscatter diffraction techniques. Asymptotic expansion homogenization and finite element analysis are employed for micromechanical analysis of polycrystalline materials. Effective thermoelastic properties of polycrystalline materials are determined and compared …

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A Scalable Preconditioner For A Primal Dpg Method, Andrew T. Barker, Veselin A. Dobrev, Jay Gopalakrishnan, Tzanio Kolev Dec 2016

A Scalable Preconditioner For A Primal Dpg Method, Andrew T. Barker, Veselin A. Dobrev, Jay Gopalakrishnan, Tzanio Kolev

Portland Institute for Computational Science Publications

We show how a scalable preconditioner for the primal discontinuous Petrov-Galerkin (DPG) method can be developed using existing algebraic multigrid (AMG) preconditioning techniques. The stability of the DPG method gives a norm equivalence which allows us to exploit existing AMG algorithms and software. We show how these algebraic preconditioners can be applied directly to a Schur complement system arising from the DPG method. One of our intermediate results shows that a generic stable decomposition implies a stable decomposition for the Schur complement. This justifies the application of algebraic solvers directly to the interface degrees of freedom. Combining such results, we …

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Density-Dependent Leslie Matrix Modeling For Logistic Populations With Steady-State Distribution Control, Bruce Kessler, Andrew Davis Dec 2016

Density-Dependent Leslie Matrix Modeling For Logistic Populations With Steady-State Distribution Control, Bruce Kessler, Andrew Davis

Mathematics Faculty Publications

The Leslie matrix model allows for the discrete modeling of population age-groups whose total population grows exponentially. Many attempts have been made to adapt this model to a logistic model with a carrying capacity (see [1], [2], [4], [5], and [6]), with mixed results. In this paper we provide a new model for logistic populations that tracks age-group populations with repeated multiplication of a density-dependent matrix constructed from an original Leslie matrix, the chosen carrying capacity of the model, and the desired steady-state age-group distribution. The total populations from the model converge to a discrete logistic model with the same …

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The Conjugacy Problem For Automorphism Groups Of Countable Homogeneous Structures, Samuel Coskey, Paul Ellis Dec 2016

The Conjugacy Problem For Automorphism Groups Of Countable Homogeneous Structures, Samuel Coskey, Paul Ellis

Mathematics Faculty Publications and Presentations

We consider the conjugacy problem for the automorphism groups of a number of countable homogeneous structures. In each case we find the precise complexity of the conjugacy relation in the sense of Borel reducibility.

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The Decay Of Disease Association With Declining Linkage Disequilibrium: A Fine Mapping Theorem, Mehdi Maadooliat, Naveen K. Bansal, Jibal Upadhya, Manzur R. Farazi, Xiang Li, Max M. He, Scott J. Hebbring, Zhan Ye, Steven J. Schrodi Dec 2016

The Decay Of Disease Association With Declining Linkage Disequilibrium: A Fine Mapping Theorem, Mehdi Maadooliat, Naveen K. Bansal, Jibal Upadhya, Manzur R. Farazi, Xiang Li, Max M. He, Scott J. Hebbring, Zhan Ye, Steven J. Schrodi

Mathematics, Statistics and Computer Science Faculty Research and Publications

Several important and fundamental aspects of disease genetics models have yet to be described. One such property is the relationship of disease association statistics at a marker site closely linked to a disease causing site. A complete description of this two-locus system is of particular importance to experimental efforts to fine map association signals for complex diseases. Here, we present a simple relationship between disease association statistics and the decline of linkage disequilibrium from a causal site. Specifically, the ratio of Chi-square disease association statistics at a marker site and causal site is equivalent to the standard measure of pairwise …

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The History Of Algorithmic Complexity, Audrey A. Nasar Dec 2016

The History Of Algorithmic Complexity, Audrey A. Nasar

Publications and Research

This paper provides a historical account of the development of algorithmic complexity in a form that is suitable to instructors of mathematics at the high school or undergraduate level. The study of algorithmic complexity, despite being deeply rooted in mathematics, is usually restricted to the computer science curriculum. By providing a historical account of algorithmic complexity through a mathematical lens, this paper aims to equip mathematics educators with the necessary background and framework for incorporating the analysis of algorithmic complexity into mathematics courses as early on as algebra or pre-calculus.

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Matching Transversal Edge Domination In Graphs, Anwar Alwardi Dec 2016

Matching Transversal Edge Domination In Graphs, Anwar Alwardi

Applications and Applied Mathematics: An International Journal (AAM)

Let G =(V,E) be a graph. A subset X of E is called an edge dominating set of G if every edge in E - X is adjacent to some edge in X . An edge dominating set which intersects every maximum matching inG is called matching transversal edge dominating set. The minimum cardinality of a matching transversal edge dominating set is called the matching transversal edge domination number of G and is denoted by γmt(G). In this paper, we begin an investigation of this parameter.

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An Adapative Treecode-Accelerated Boundary Integral Solver For Computing The Electrostatics Of A Biomolecule, Andrew Joseph Szatkowski Dec 2016

An Adapative Treecode-Accelerated Boundary Integral Solver For Computing The Electrostatics Of A Biomolecule, Andrew Joseph Szatkowski

Theses and Dissertations

The Poisson-Boltzmann equation (PBE) is a widely-used model in the calculation of electrostatic potential for solvated biomolecules. PBE is an interface problem defined in the whole space with the interface being a molecular surface of a biomolecule, and has been solved numerically by finite difference, finite element, and boundary integral methods. Unlike the finite difference and finite element methods, the boundary integral method works directly over the whole space without approximating the whole space problem into an artificial boundary value problem. Hence, it is expected to solve PBE in higher accuracy. However, so far, it was only applied to a …

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Some Considerations On The Structure Of Transition Densities Of Symmetric Lévy Processes, Lewis J Bray, Neils Jacob Dec 2016

Some Considerations On The Structure Of Transition Densities Of Symmetric Lévy Processes, Lewis J Bray, Neils Jacob

Communications on Stochastic Analysis

No abstract provided.

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On The Kolmogorov-Wiener-Masani Spectrum Of A Multi-Mode Weakly Stationary Quantum Process, K R Parthasarathy, Ritabrata Sengupta Dec 2016

On The Kolmogorov-Wiener-Masani Spectrum Of A Multi-Mode Weakly Stationary Quantum Process, K R Parthasarathy, Ritabrata Sengupta

Communications on Stochastic Analysis

No abstract provided.

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Strong Stationary Times And The Fundamental Matrix For Recurrent Markov Chains, P J Fitzsimmons Dec 2016

Strong Stationary Times And The Fundamental Matrix For Recurrent Markov Chains, P J Fitzsimmons

Communications on Stochastic Analysis

No abstract provided.

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Positive Definiteness On Spheres And Hyperbolic Spaces, Walter R Bloom, N J Wildberger Dec 2016

Positive Definiteness On Spheres And Hyperbolic Spaces, Walter R Bloom, N J Wildberger

Communications on Stochastic Analysis

No abstract provided.

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Preface Dec 2016

Preface

Communications on Stochastic Analysis

No abstract provided.

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Brownian Manifolds, Negative Type And Geo-Temporal Covariances, N H Bingham, Aleksandar Mijatović, Tasmin L Symons Dec 2016

Brownian Manifolds, Negative Type And Geo-Temporal Covariances, N H Bingham, Aleksandar Mijatović, Tasmin L Symons

Communications on Stochastic Analysis

No abstract provided.

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Convolution Semigroups Of Probability Measures On Gelfand Pairs, Revisited, David Applebaum Dec 2016

Convolution Semigroups Of Probability Measures On Gelfand Pairs, Revisited, David Applebaum

Communications on Stochastic Analysis

No abstract provided.

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Bimodules And Hypergroups Associated With Actions Of A Pair Of Groups, Satoshi Kawakami, Tatsuya Tsurii, Shigeru Yamagami Dec 2016

Bimodules And Hypergroups Associated With Actions Of A Pair Of Groups, Satoshi Kawakami, Tatsuya Tsurii, Shigeru Yamagami

Communications on Stochastic Analysis

No abstract provided.

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Semimartingales In Locally Compact Abelian Groups And Their Characteristic Triples, M S Bingham Dec 2016

Semimartingales In Locally Compact Abelian Groups And Their Characteristic Triples, M S Bingham

Communications on Stochastic Analysis

No abstract provided.

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Conditions For Stationarity And Ergodicity Of Two-Factor Affine Diffusions, Beáta Bolyog, Gyula Pap Dec 2016

Conditions For Stationarity And Ergodicity Of Two-Factor Affine Diffusions, Beáta Bolyog, Gyula Pap

Communications on Stochastic Analysis

No abstract provided.

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A Study In Locally Compact Groups—Chabauty Space, Sylow Theory, The Schur-Zassenhaus Formalism, The Prime Graph For Near Abelian Groups, Wolfgang Herfort, Karl H Hofmann, Francesco G Russo Dec 2016

A Study In Locally Compact Groups—Chabauty Space, Sylow Theory, The Schur-Zassenhaus Formalism, The Prime Graph For Near Abelian Groups, Wolfgang Herfort, Karl H Hofmann, Francesco G Russo

Communications on Stochastic Analysis

No abstract provided.

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Generalized Commutative Association Schemes, Hypergroups, And Positive Product Formulas, Michael Voit Dec 2016

Generalized Commutative Association Schemes, Hypergroups, And Positive Product Formulas, Michael Voit

Communications on Stochastic Analysis

No abstract provided.

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Birth Mass Is The Key To Understanding The Negative Correlation Between Lifespan And Body Size In Dogs, Rong Fan, Gayla R. Olbricht, Xavior Baker, Chen Hou Dec 2016

Birth Mass Is The Key To Understanding The Negative Correlation Between Lifespan And Body Size In Dogs, Rong Fan, Gayla R. Olbricht, Xavior Baker, Chen Hou

Mathematics and Statistics Faculty Research & Creative Works

Larger dog breeds live shorter than the smaller ones, opposite of the mass-lifespan relationship observed across mammalian species. Here we use data from 90 dog breeds and a theoretical model based on the first principles of energy conservation and life history tradeoffs to explain the negative correlation between longevity and body size in dogs. We found that the birth/adult mass ratio of dogs scales negatively with adult size, which is different than the weak interspecific scaling in mammals. Using the model, we show that this ratio, as an index of energy required for growth, is the key to understanding why …

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Asymptotic Behavior Of Even-Order Damped Differential Equations With P-Laplacian Like Operators And Deviating Arguments, Qingmin Liu, Martin Bohner, Said R. Grace, Tongxing Li Dec 2016

Asymptotic Behavior Of Even-Order Damped Differential Equations With P-Laplacian Like Operators And Deviating Arguments, Qingmin Liu, Martin Bohner, Said R. Grace, Tongxing Li

Mathematics and Statistics Faculty Research & Creative Works

We study the asymptotic properties of the solutions of a class of even-order damped differential equations with p-Laplacian like operators, delayed and advanced arguments. We present new theorems that improve and complement related contributions reported in the literature. Several examples are provided to illustrate the practicability, maneuverability, and efficiency of the results obtained. An open problem is proposed.

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An Efficient And Long-Time Accurate Third-Order Algorithm For The Stokes–Darcy System, Wenbin Chen, Max Gunzburger, Dong Sun, Xiaoming Wang Dec 2016

An Efficient And Long-Time Accurate Third-Order Algorithm For The Stokes–Darcy System, Wenbin Chen, Max Gunzburger, Dong Sun, Xiaoming Wang

Mathematics and Statistics Faculty Research & Creative Works

A third order in time numerical IMEX-type algorithm for the Stokes–Darcy system for flows in fluid saturated karst aquifers is proposed and analyzed. a novel third-order Adams–Moulton scheme is used for the discretization of the dissipative term whereas a third-order explicit Adams–Bashforth scheme is used for the time discretization of the interface term that couples the Stokes and Darcy components. the scheme is efficient in the sense that one needs to solve, at each time step, decoupled Stokes and Darcy problems. Therefore, legacy Stokes and Darcy solvers can be applied in parallel. the scheme is also unconditionally stable and, with …

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Foundations Of Wave Phenomena, Charles G. Torre Dec 2016

Foundations Of Wave Phenomena, Charles G. Torre

Charles G. Torre

This is an undergraduate text on the mathematical foundations of wave phenomena. Version 8.2.

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Why Most Bright Stars Are Binary But Most Dim Stars Are Single: A Simple Qualitative Explanation, Olga Kosheleva, Vladik Kreinovich Dec 2016

Why Most Bright Stars Are Binary But Most Dim Stars Are Single: A Simple Qualitative Explanation, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

It is known that most visible stars are binary: they have a nearby companion star, and these two stars orbit around each other. Based on this fact, until recently, astronomers believed that, in general, most stars are binary. A few years ago, a surprising paper showed that while most bright stars are indeed binary, most dim stars are single. In this paper, we provide a simple qualitative explanation for this empirical fact.

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When Invading, Cancer Cells Do Not Divide: A Geometric (Symmetry-Based) Explanation Of An Empirical Observation, Olga Kosheleva, Vladik Kreinovich Dec 2016

When Invading, Cancer Cells Do Not Divide: A Geometric (Symmetry-Based) Explanation Of An Empirical Observation, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In general, malignant tumors are known to grow fast, cancer cells that form these tumors divide and spread around. Tumors also experience the process of metastasis, when cancer cells invade neighboring organs. A recent experiment has shown that, contrary to the previous assumptions, when cancer cells are invading, they stop dividing. In this paper, we provide a geometric explanation for this empirical phenomenon.

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