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Articles 31 - 60 of 102
Full-Text Articles in Entire DC Network
A Journey, Not A Destination, James L. Phelps
A Journey, Not A Destination, James L. Phelps
Educational Considerations
Closing Essay: Much of the motivation and ideas for the articles in this special issue originated with my dear friend, Maris Abolins, Professor Emeritus of Physics at Michigan State University. We started as neighbors and, as our kids grew up together, we socialized frequently. He is responsible for my interest in physics. I would read a physics book, which would become the subject of our next dinner conversation (while our wives talked about other, more social topics). Instead of a compilation of facts, physics became a way of thinking about problem solving. The “unified field” theory was the start of …
Mathematical Methods For Biosensor Models, Qi Wang
Mathematical Methods For Biosensor Models, Qi Wang
Doctoral
A biosensor is defined as a compact analytical device incorporating a biological sensing element integrated within a physico-chemical transducer whose aim is to produce optical or electronic signals proportional to the concentration of an analyte in a sample. Biosensors offer enormous potential to detect a wide range of analytes in health care, the food industry, environmental monitoring, security and defence. The beneficial impact on society as a result of the availability of such systems is immense, therefore investigating any strategy that could reduce development times and costs and reveal alternative designs is of utmost importance. In particular, mathematical modelling and …
Morphologies From Slippery Ballistic Deposition Model: A Bottom-Up Approach For Nanofabrication, Anthony Robledo, Christopher N. Grabill, Stephen M. Kuebler, Aniruddha Dutta, Helge Heinrich, Aniket Bhattacharya
Morphologies From Slippery Ballistic Deposition Model: A Bottom-Up Approach For Nanofabrication, Anthony Robledo, Christopher N. Grabill, Stephen M. Kuebler, Aniruddha Dutta, Helge Heinrich, Aniket Bhattacharya
Faculty Bibliography 2010s
We report pattern formation using a slippery ballistic deposition (SBD) model where growth germinates from a single site or from sites distributed periodically on a lattice. By changing the sticking probability p(s) and choosing systems with different lattice constants and symmetries, we demonstrate that a variety of patterns can be generated. These patterns can be further used as scaffolds for nanofabrication. We also demonstrate that by choosing a lateral sticking probability p(l) at the base that is different than p(s), one can control both the early and late time morphologies originating from a seed. Furthermore, we indicate a possible generalization …
Dispersion Relation On The Kerr Constant Of A Polymer-Stabilized Optically Isotropic Liquid Crystal, Meizi Jiao, Jin Yan, Shin-Tson Wu
Dispersion Relation On The Kerr Constant Of A Polymer-Stabilized Optically Isotropic Liquid Crystal, Meizi Jiao, Jin Yan, Shin-Tson Wu
Faculty Bibliography 2010s
The dispersion relation on the Kerr constant (K) of a polymer-stabilized isotropic phase (PSIP) liquid-crystal (LC) composite is investigated. Our experimental results show that K decreases as the wavelength (lambda) increases. The single-band birefringence dispersion model is used to fit the lambda K values of the PSIP LC composite. Very good agreement between the experiment and physical model is obtained.
Polymer Translocation Induced By A Bad Solvent, Christopher Lörscher, Tapio Ala-Nissila, Aniket Bhattacharya
Polymer Translocation Induced By A Bad Solvent, Christopher Lörscher, Tapio Ala-Nissila, Aniket Bhattacharya
Faculty Bibliography 2010s
We study polymer translocation through a nanopore subject to conformational differences created by putting two different solvents at the cis and trans compartments using Langevin dynamics in three dimensions (3D). Initially a fraction of the chain is placed in a good solvent at the cis side and the rest of the chain at the trans side is immersed in a bad solvent where it forms a globule. We study several aspects of the translocating chain as a function of the strength of the interaction epsilon/k(B)T for the bad solvent, where the temperature T is kept below the Theta temperature for …
A Mathematical Model For The Biological Treatment Of Industrial Wastewaters In A Cascade Of Four Reactors, Annette L. Worthy, Mark I. Nelson, Rubayyi Turki Alqahtani
A Mathematical Model For The Biological Treatment Of Industrial Wastewaters In A Cascade Of Four Reactors, Annette L. Worthy, Mark I. Nelson, Rubayyi Turki Alqahtani
Faculty of Informatics - Papers (Archive)
Many industrial processes, particularly in the food industry, produce slurriesor wastewaters containing high concentrations of biodegradable organicmaterials. Before these contaminated wastewaters can be dischargedthe concentration of these pollutants must be reduced. A method which has beenextensively employed to remove biodegradable organic matter is biologicaltreatment. In this process the wastewater (or slurry) is passed through abioreactor containing biomass which grows through consumption of thepollutants.The industrial treatment of wastewaters typically employs a reactor cascade.In a reactor cascade of n reactors the effluent stream from the ith reactor inthe cascade acts as the feed stream for the (i+1)th reactor, i.e. the nextreactor. The …
A Mathematical Model For The Biological Treatment Of Industrial Wastewater In A Reactor Cascade, Rubayyi Turki Alqahtani, Mark I. Nelson, Annette L. Worthy
A Mathematical Model For The Biological Treatment Of Industrial Wastewater In A Reactor Cascade, Rubayyi Turki Alqahtani, Mark I. Nelson, Annette L. Worthy
Faculty of Informatics - Papers (Archive)
Many industrial processes, particularly in the food industry, produce slurries or wastewaters containing high concentrations of biodegradable organic materials. Before these contaminated wastewaters can be discharged the concentration of the biodegradable organic pollutant must be reduced. One way to do this is to pass the wastewater through a bioreactor containing biomass which grows through consumption of the pollutant. Anaerobic conditions are often favoured for the processing of waste materials with high levels of biodegradable organic pollutants as these can be removed with low investment and operational costs. We investigate the steady state effluent concentration leaving a cascade of two reactors. …
Out-Of-Equilibrium Characteristics Of A Forced Translocating Chain Through A Nanopore, Aniket Bhattacharya, Kurt Binder
Out-Of-Equilibrium Characteristics Of A Forced Translocating Chain Through A Nanopore, Aniket Bhattacharya, Kurt Binder
Faculty Bibliography 2010s
Polymer translocation through a nanopore in a thin membrane is studied using a coarse-grained bead-spring model and Langevin dynamics simulation with a particular emphasis to explore out of equilibrium characteristics of the translocating chain. We analyze the out of equilibrium chain conformations both at the cis and the trans side separately either as a function of the time during the translocation process or as as function of the monomer index m inside the pore. A detailed picture of translocation emerges by monitoring the center of mass of the translocating chain, longitudinal and transverse components of the gyration radii and the …
Scale-Dependent Anisotropic Polarizability In Mesoscopic Structures, David Haefner, Sergey Sukhov, Aristide Dorgariu
Scale-Dependent Anisotropic Polarizability In Mesoscopic Structures, David Haefner, Sergey Sukhov, Aristide Dorgariu
Faculty Bibliography 2010s
Optical properties of inhomogeneous materials are, in general, scale dependent. We show that, when observed at mesoscopic scales, the local anisotropic polarizabilities depend on the volume of interaction, which may be limited by either the excitation field or material dimensions. We demonstrate the existence of a specific interaction length scale corresponding to the maximum degree of local anisotropy and discuss its relation to the detailed morphology of a disordered medium. Probing these mesoscopic scales provides information about the local structure and allows characterizing material systems that otherwise may appear similar.
Dynamics Of Entanglement Between A Quantum Dot Spin Qubit And A Photon Qubit Inside A Semiconductor High-Q Nanocavity, Hubert Pascal Seigneur, Gabriel Gonzalez, Michael Niklaus Leuenberger, Winston Vaughan Schoenfeld
Dynamics Of Entanglement Between A Quantum Dot Spin Qubit And A Photon Qubit Inside A Semiconductor High-Q Nanocavity, Hubert Pascal Seigneur, Gabriel Gonzalez, Michael Niklaus Leuenberger, Winston Vaughan Schoenfeld
Faculty Bibliography 2010s
We investigate in this paper the dynamics of entanglement between a QD spin qubit and a single photon qubit inside a quantum network node, as well as its robustness against various decoherence processes. First, the entanglement dynamics is considered without decoherence. In the small detuning regime (Delta = 78 mu eV), there are three different conditions for maximum entanglement, which occur after 71, 93, and 116 picoseconds of interaction time. In the large detuning regime (Delta = 1.5 meV), there is only one peak for maximum entanglement occurring at 625 picoseconds. Second, the entanglement dynamics is considered with decoherence by …
Two-Dimensional Blasius Viscous Flow Of A Power-Law Fluid Over A Semi-Infinite Flat Plane, Robert A. Van Gorder
Two-Dimensional Blasius Viscous Flow Of A Power-Law Fluid Over A Semi-Infinite Flat Plane, Robert A. Van Gorder
Faculty Bibliography 2010s
Analytic results are obtained for the similarity equation governing the two-dimensional Blasius viscous flow of a power-law fluid over a semi-infinite flat plane via Taylor series for small values of the independent similarity variable. Then, an analytic perturbative procedure is used to determine an approximate solution that exhibits the correct asymptotic behavior. This perturbation method allows for the computation of the shear stress at the wall, something which is impossible with a Taylor series approach. It is found that the perturbation solutions converge sufficiently rapidly; indeed, a first order approximation gives qualitatively accurate results. Furthermore, we employ the perturbation method …
Delta-Expansion Method For Nonlinear Stochastic Differential Equations Describing Wave Propagation In A Random Medium, Robert A. Van Gorder
Delta-Expansion Method For Nonlinear Stochastic Differential Equations Describing Wave Propagation In A Random Medium, Robert A. Van Gorder
Faculty Bibliography 2010s
We apply the delta-expansion method to nonlinear stochastic differential equations describing wave propagation in a random medium. In particular, we focus our attention on a model describing a nonlinear wave propagating in a turbulent atmosphere which has random variations in the refractive index (we take these variations to be stochastic). The method allows us to construct much more reasonable perturbation solutions with relatively few terms (compared to standard "small-parameter" perturbation methods) due to more accurate linearization used in constructing the initial approximation. We demonstrate that the method allows one to compute effective wave numbers more precisely than other methods applied …
Wave Functions And Energy Spectra For The Hydrogenic Atom In R-3 X M, Robert A. Van Gorder
Wave Functions And Energy Spectra For The Hydrogenic Atom In R-3 X M, Robert A. Van Gorder
Faculty Bibliography 2010s
We consider the hydrogenic atom in a space of the form R-3 x M, where M may be a generalized manifold obeying certain properties. We separate the solution to the governing time-independent Schrodinger equation into a component over R-3 and a component over M. Upon obtaining a solution to the relevant eigenvalue problems, we recover both the wave functions and energy spectrum for the hydrogenic atom over R-3 x M. We consider some specific examples of M, including the fairly simple D-dimensional torus T D and the more complicated Kahler conifold K in order to illustrate the method. In the …
Some Mathematical Models Arising In Nano- And Bio-Technology, Yue Chan
Some Mathematical Models Arising In Nano- And Bio-Technology, Yue Chan
Faculty of Informatics - Papers (Archive)
In this thesis, three mechanical models arising from nanoscale and biological systems are investigated, namely the dynamics of various nanostructures, the axial buckling of carbon nanotubes and nanopeapods, and the worm-like chain model for stretched semi-flexible molecules and the utilization of such a model for investigating molecular stretching in the connective tissue extracellular matrix.
Walking The Talk: Translation Of Mathematical Content Knowledge To Practice, Barbara Butterfield, Mohan Chinnappan
Walking The Talk: Translation Of Mathematical Content Knowledge To Practice, Barbara Butterfield, Mohan Chinnappan
Faculty of Education - Papers (Archive)
Recent debates on students’ learning outcomes in mathematics have shifted the focus to better understanding the types of knowledge that teachers need in order to support children. In the present study, we examined the quality of knowledge of a cohort of prospective teachers along the dimensions developed by Ball et al. (2008). We found support for the contention that beginning teachers tend to have built a body of content knowledge. However, that knowledge remains less germane to teaching children. Implications for translation of this knowledge for teaching are presented.
Measuring And Reporting School And District Effectiveness, James L. Phelps
Measuring And Reporting School And District Effectiveness, James L. Phelps
Educational Considerations
The federal No Child Left Behind Act (NCLB), the 2001 reauthorization of Title I, requires states to assess students in grades three through eight in reading and mathematics, and students in three grades in science.
Buckling Instability Of Lipid Tubules With Multibilayer Walls Under Local Radial Indentation, Yue Zhao, Linan An, Jiyu Fang
Buckling Instability Of Lipid Tubules With Multibilayer Walls Under Local Radial Indentation, Yue Zhao, Linan An, Jiyu Fang
Faculty Bibliography 2000s
The mechanical behavior of self-assembled lipid tubules is an important property which determines their suitability for technological applications. We study the instability of multibilayer lipid tubules (with wall thickness t and external radius R(ext)) beyond elastic response under local radial atomic force microscopy indentations. A discontinuity in force-distance curves associated with the buckling instability of lipid tubules is observed. The critical force at which lipid tubules undergo a buckling transition linearly scales as t/R(ext). In addition, a reduced critical buckling force is found to extend a distance of similar to 1 mu m from the end of lipid tubules.
Editorial: Special Issue Contributed From Chemeca 2008 - Mathematical Modeling, Mark Nelson, Brent Young, Harvinder Sidhu
Editorial: Special Issue Contributed From Chemeca 2008 - Mathematical Modeling, Mark Nelson, Brent Young, Harvinder Sidhu
Faculty of Engineering and Information Sciences - Papers: Part A
The papers in this issue of Chemical Product and Process Modeling are substantially those that arose from special sessions on "mathematical modeling" at the 36th Australasian Chemical Engineering Conference (held between 28th September to 1st October 2008, in Newcastle, Australia).
Hands-On Activities And Activities Involving Technology To Help Students Construct Concepts And Gain A Deeper Understanding And Appreciation For Mathematical Concepts Based On The Utah Core Curriculum For Algebra Ii, Brookeann Watterson
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
Research shows there are several methods that expand students' understanding, appreciation for, and interest in mathematics by following teaching strategies. These strategies include incorporating hands-on activities, technology, discovery learning, cooperative learning, and having activities be applicable to real world contexts. This project focuses specifically on activities based on objectives from the Utah State Core for Algebra II that incorporate such strategies in five units: (I) absolute value, (2) exponential growth /decay and logarithms, (3) trigonometric functions, (4) probability, permutations and combinations, and (5) statistics.
Coupled Dipole Method For Modeling Optical Properties Of Large-Scale Random Media, S. Sukhov, D. Haefner, A. Dogariu
Coupled Dipole Method For Modeling Optical Properties Of Large-Scale Random Media, S. Sukhov, D. Haefner, A. Dogariu
Faculty Bibliography 2000s
We present an extension of the coupled dipole approximation technique to model optical properties of large-scale slabs of homogeneous and inhomogeneous materials. This method is based on a modification of the Green's function to take into account the interaction between dipoles located at arbitrary distances within the slab. This method allows modeling of various aspects of the structural morphology of composite materials, including component size and spatial distribution as well as surface roughness effects. Our procedure provides an adequate description of far-field optical properties such as the specular and diffuse reflection of light.
Elastic Modulus Of Viral Nanotubes, Yue Zhao, Zhibin Ge, Jiyu Fang
Elastic Modulus Of Viral Nanotubes, Yue Zhao, Zhibin Ge, Jiyu Fang
Faculty Bibliography 2000s
We report an experimental and theoretical study of the radial elasticity of tobacco mosaic virus (TMV) nanotubes. An atomic force microscope tip is used to apply small radial indentations to deform TMV nanotubes. The initial elastic response of TMV nanotubes can be described by finite-element analysis in 5 nm indentation depths and Hertz theory in 1.5 nm indentation depths. The derived radial Young's modulus of TMV nanotubes is 0.92 +/- 0.15 GPa from finite-element analysis and 1.0 +/- 0.2 GPa from the Hertz model, which are comparable with the reported axial Young's modulus of 1.1 GPa [Falvo et al., Biophys. …
A Mathematical Model For Computerized Car Crash Detection Using Computer Vision Techniques, Dawn Marie Strianese
A Mathematical Model For Computerized Car Crash Detection Using Computer Vision Techniques, Dawn Marie Strianese
UNLV Retrospective Theses & Dissertations
My proposed approach to the automatic detection of traffic accidents in a signalized intersection is presented here. In this method, a digital camera is strategically placed to view the entire intersection. The images are captured, processed and analyzed for the presence of vehicles and pedestrians in the proposed detection zones. Those images are further processed to detect if an accident has occurred; The mathematical model presented is a Poisson distribution that predicts the number of accidents in an intersection per week, which can be used as approximations for modeling the crash process. We believe that the crash process can be …
Mathematical Model To Simulate A Hybrid Lighting System, Ahmad Abu Heiba
Mathematical Model To Simulate A Hybrid Lighting System, Ahmad Abu Heiba
UNLV Retrospective Theses & Dissertations
Hybrid solar lighting (HSL) technology is a relatively new technology to utilize natural sunlight along with the traditional electric lighting to light the interior spaces. HSL systems concentrate the sunlight onto a bundle of optical fibers. The optical fibers are routed into the interior space and coupled with cylindrical rods to diffuse the light. A lighting sensor modulates the amount of electric energy depending on the amount of natural light available; This study presents a simplified mathematical model to predict the output of the HSL system based on the amount of the available solar radiation. The model is verified via …
The Mathematical In Heidegger And Badiou, Dylan Armstrong Wade
The Mathematical In Heidegger And Badiou, Dylan Armstrong Wade
LSU Master's Theses
In this thesis I am tracing the historical development of subjectivity from its skeptical foundation in Descartes to Alain Badiou’s subject as fidelity to truth. Drawing from Martin Heidegger’s What is a Thing?, this history begins with the turn from an Aristotelian to a Newtonian apprehension of motion, turning towards an a priori mathematical projection of spatial uniformity, such that there are no longer different places – only quantifiable distance. It is on the basis of this turning away from tradition, or ordinary experience of different phenomena, that Descartes posits the self-certain I-pole. Heidegger criticizes modernity, defined as the merging …
Self-Bending Of Dark And Gray Photorefractive Solitons, M. I. Carvalho, M. Facão, D. N. Christodoulides
Self-Bending Of Dark And Gray Photorefractive Solitons, M. I. Carvalho, M. Facão, D. N. Christodoulides
Faculty Bibliography 2000s
We investigate the effects of diffusion on the evolution of steady-state dark and gray spatial solitons in biased photorefractive media. Numerical integration of the nonlinear propagation equation shows that the soliton beams experience a modification of their initial trajectory, as well as a variation of their minimum intensity. This process is further studied using perturbation analysis, which predicts that the center of the optical beam moves along a parabolic trajectory and, moreover, that its minimum intensity varies linearly with the propagation distance, either increasing or decreasing depending on the sign of the initial transverse velocity. Relevant examples are provided.
Mathematical Modeling Of Magnetohydrodynamic Micropumps, Juan Katoff Afonien
Mathematical Modeling Of Magnetohydrodynamic Micropumps, Juan Katoff Afonien
UNLV Retrospective Theses & Dissertations
A lab-on-a-chip (LOC) system is a minute chemical processing plant consisting of interconnected networks of microchannels and reservoirs operating with small volumes of reagents. In many LOC systems, it is necessary to propel fluids from one part of the device to another, control fluid motion, stir and interact various reagents, and detect the presence of target analytes. In LOC systems, these tasks are far from trivial; This thesis focuses on fluid propulsion under the action of electric and magnetic fields. Both Non-RedOx and RedOx-based Magneto-hydrodynamic (MHD) micropumps, in which the flow is directed by judicious interplay between electric and magnetic …
A General Mathematical Model Of Stenoses, Jordan Jimmy Crabbe
A General Mathematical Model Of Stenoses, Jordan Jimmy Crabbe
UNLV Retrospective Theses & Dissertations
Incidence and the prevalence rate of stroke in the United States has been of great concern to the Centers for Disease Control and prevention (CDC), National Center for Health Statistics (NCHS), the American Society of Stroke, American Stroke Association and the U.S. government as a whole; Many mathematical models of the stroke problem have been proposed and solved using diverse methods and computations. Most of the models are based on the stenoses, occlusion or rupture of the artery and the formation of cerebral aneurysms, which all lead to the occurrence of stroke; This paper utilizes a direct approach to change …
Power-Law Eigenvalue Density, Scaling, And Critical Random-Matrix Ensembles, K. A. Muttalib, Mourand E. H. Ismail
Power-Law Eigenvalue Density, Scaling, And Critical Random-Matrix Ensembles, K. A. Muttalib, Mourand E. H. Ismail
Faculty Bibliography 2000s
We consider a class of rotationally invariant unitary random matrix ensembles where the eigenvalue density falls off as an inverse power law. Under a scaling appropriate for such power-law densities (different from the scaling required in Gaussian random matrix ensembles), we calculate exactly the two-level kernel that determines all eigenvalue correlations. We show that such ensembles belong to the class of critical ensembles.
Polarization-Induced Spectral Changes On Propagation Of Stochastic Electromagnetic Beams, Jixiong Pu, Olga Korotkova, Emil Wolf
Polarization-Induced Spectral Changes On Propagation Of Stochastic Electromagnetic Beams, Jixiong Pu, Olga Korotkova, Emil Wolf
Faculty Bibliography 2000s
It was shown some years ago that the spectrum of a stochastic scalar field depends not only on the source spectrum but also on the degree of coherence of the source. In this paper we show that there are electromagnetic fields for which not only the state of coherence of the source, but also its degree of polarization affect the spectrum of the radiated field. We illustrate the analysis by diagrams which show the far-zone spectra of some stochastic electromagnetic beams generated by sources of different states of coherence and different degrees of polarization. The spectra of the radiated field …
Mathematical Model To Predict Solids Content Of Water Treatment Residuals During Drying, Ali Gharaibeh, Muttucumaru Sivakumar, Dharmappa Hagare
Mathematical Model To Predict Solids Content Of Water Treatment Residuals During Drying, Ali Gharaibeh, Muttucumaru Sivakumar, Dharmappa Hagare
Faculty of Engineering - Papers (Archive)
Dewatering and drying of residuals are extremely energy intensive processes, which are necessary to reduce the quantity of wet residuals produced from the water and wastewater treatment operations. Meteorological conditions are a major factor in the drying of residuals, which can greatly affect the drying period. A mathematical model is developed for the process of drying of water treatment residuals. A steady-state heat-balance equation is applied for a control volume of residuals that takes into account the heat transfer by radiation, convection, and evaporation. The mathematical model was validated using drying experiments conducted in a wind tunnel as well as …