Unified Methods For Feature Selection In Large-Scale Genomic Studies With Censored Survival Outcomes,
2019
Temple University
Unified Methods For Feature Selection In Large-Scale Genomic Studies With Censored Survival Outcomes, Lauren Spirko-Burns, Karthik Devarajan
COBRA Preprint Series
One of the major goals in large-scale genomic studies is to identify genes with a prognostic impact on time-to-event outcomes which provide insight into the disease's process. With rapid developments in high-throughput genomic technologies in the past two decades, the scientific community is able to monitor the expression levels of tens of thousands of genes and proteins resulting in enormous data sets where the number of genomic features is far greater than the number of subjects. Methods based on univariate Cox regression are often used to select genomic features related to survival outcome; however, the Cox model assumes proportional hazards …
Analytical Wave Solutions Of The Space Time Fractional Modified Regularized Long Wave Equation Involving The Conformable Fractional Derivative,
2019
Jessore University of Science and Technology
Analytical Wave Solutions Of The Space Time Fractional Modified Regularized Long Wave Equation Involving The Conformable Fractional Derivative, M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, Md. Abdul Haque
Karbala International Journal of Modern Science
The space time fractional modified regularized long wave equation is a model equation to the gravitational water waves in the long-wave occupancy, shallow waters waves in coastal seas, the hydro-magnetic waves in cold plasma, the phonetic waves in dissident quartz and phonetic gravitational waves in contractible liquids. In nonlinear science and engineering, the mentioned equation is applied to analyze the one way tract of long waves in seas and harbors. In this study, the closed form traveling wave solutions to the above equation are evaluated due to conformable fractional derivatives through double (G'⁄G,1⁄G)-expansion method and the Exp-function method. The existence …
Stochastic Modeling Reveals How Motor Protein And Filament Properties Affect Intermediate Filament Transport,
2019
Institut Pasteur
Stochastic Modeling Reveals How Motor Protein And Filament Properties Affect Intermediate Filament Transport, J. C. Dallon, Cecil Leduc, Sandrine Etienne-Manneville, Stephanie Portet
Faculty Publications
Intermediate filaments are a key component of the cytoskeleton. Their trans- port along microtubules plays an essential role in the control of the shape and structural organization of cells. To identify the key parameters responsible for the control of intermediate filament transport, we generated a model of elastic filament transport by microtubule-associated dynein and kinesin. The model is also applicable to the transport of any elastically-coupled cargoes. We inves- tigate the effect of filament properties such as number of motor binding sites, length, and elasticity on motion of filaments. Additionally, we consider the ef- fect of motor properties, i.e. off …
The Knill Graph Dimension From The Minimum Clique Cover,
2019
San Jose State University
The Knill Graph Dimension From The Minimum Clique Cover, Kassahun Betre, Evatt Salinger
Faculty Publications
In this paper we prove that the recursive (Knill) dimension of the join of two graphs has a simple formula in terms of the dimensions of the component graphs: dim(G1+G2)=1+dimG1+dimG2. We use this formula to derive an expression for the Knill dimension of a graph from its minimum clique cover. A corollary of the formula is that a graph made of the arbitrary union of complete graphs KN of the same order N will have dimension N−1. We finish by finding lower and upper bounds on the Knill dimension of a graph in terms of its clique number.
The Transition Matrix Between The Specht And Web Bases Is Unipotent With Additional Vanishing Entries,
2019
University of Richmond
The Transition Matrix Between The Specht And Web Bases Is Unipotent With Additional Vanishing Entries, Heather M. Russell, Julianna S. Tymoczko
Mathematics Sciences: Faculty Publications
We compare two important bases of an irreducible representation of the symmetric group: the web basis and the Specht basis. The web basis has its roots in the Temperley-Lieb algebra and knot-theoretic considerations. The Specht basis is a classic algebraic and combinatorial construction of symmetric group representations which arises in this context through the geometry of varieties called Springer fibers. We describe a graph that encapsulates combinatorial relations between each of these bases, prove that there is a unique way (up to scaling) to map the Specht basis into the web representation, and use this to recover a result of …
Meanings, Dimensions, And Categories Of Mathematics Teacher Beliefs: A Navigation Through The Literature,
2019
Zayed University
Meanings, Dimensions, And Categories Of Mathematics Teacher Beliefs: A Navigation Through The Literature, Shashidhar Belbase
All Works
This paper aimed to discuss the meanings, dimensions, and categories of teacher beliefs about teaching and learning mathematics. I reviewed the relevant literature about teacher beliefs in general, beliefs about mathematics, and beliefs about mathematics teaching and learning in particular. Based on the review of the literature, I outlined the meanings of teacher beliefs and conceptualized three dimensions of teacher beliefs "“ affective dimension, cognitive dimension, and pedagogical dimension. Then, I discussed three viewpoints to observe teacher beliefs "“ relational, institutional, and praxis lenses. I utilized these lenses to categorize belief constructs into three classes of beliefs about mathematics, teaching …
Prediction Of Stress Increase At Ultimate In Unbonded Tendons Using Sparse Principal Component Analysis,
2019
Utah State University
Prediction Of Stress Increase At Ultimate In Unbonded Tendons Using Sparse Principal Component Analysis, Eric Mckinney, Minwoo Chang, Marc Maguire, Yan Sun
Mathematics and Statistics Faculty Publications
While internal and external unbonded tendons are widely utilized in concrete structures, an analytical solution for the increase in unbonded tendon stress at ultimate strength, Δ������, is challenging due to the lack of bond between strand and concrete. Moreover, most analysis methods do not provide high correlation due to the limited available test data. The aim of this paper is to use advanced statistical techniques to develop a solution to the unbonded strand stress increase problem, which phenomenological models by themselves have done poorly. In this paper, Principal Component Analysis (PCA), and Sparse Principal Component Analysis (SPCA) are employed on …
Drones And “Ghost Guns”: Unregulated Legal Space,
2019
Utah State University
Drones And “Ghost Guns”: Unregulated Legal Space, Tori Bodine
Research on Capitol Hill
Law enforcement agencies are fighting a two - pronged battle when it comes to emerging technologies: keeping up with new ways criminals are using technology and developing effective ways to combat these innovations, while balancing these challenges against preserving the individual liberties of law - abiding citizens. This conflict is especially apparent with regard to criminal use of commercial drones and the developing fringe market surrounding homemade untraceable firearms (“ghost guns”).
Pascal's Triangle Modulo N And Its Applications To Efficient Computation Of Binomial Coefficients,
2019
University of Nebraska - Lincoln
Pascal's Triangle Modulo N And Its Applications To Efficient Computation Of Binomial Coefficients, Zachary Warneke
Honors Program: Senior Projects (Public)
In this thesis, Pascal's Triangle modulo n will be explored for n prime and n a prime power. Using the results from the case when n is prime, a novel proof of Lucas' Theorem is given. Additionally, using both the results from the exploration of Pascal's Triangle here, as well as previous results, an efficient algorithm for computation of binomial coefficients modulo n (a choose b mod n) is described, and its time complexity is analyzed and compared to naive methods. In particular, the efficient algorithm runs in O(n log(a)) time (as opposed to …
Soma-Axon Coupling Configurations That Enhance Neuronal Coincidence Detection,
2019
Swarthmore College
Soma-Axon Coupling Configurations That Enhance Neuronal Coincidence Detection, Joshua H. Goldwyn, M. W. H. Remme, J. Rinzel
Mathematics & Statistics Faculty Works
Coincidence detector neurons transmit timing information by responding preferentially to concurrent synaptic inputs. Principal cells of the medial superior olive (MSO) in the mammalian auditory brainstem are superb coincidence detectors. They encode sound source location with high temporal precision, distinguishing submillisecond timing differences among inputs. We investigate computationally how dynamic coupling between the input region (soma and dendrite) and the spike-generating output region (axon and axon initial segment) can enhance coincidence detection in MSO neurons. To do this, we formulate a two-compartment neuron model and characterize extensively coincidence detection sensitivity throughout a parameter space of coupling configurations. We focus on …
Solution Of The Kosha Problem For Ordinary Differential Equations By Implicit Different Methods,
2019
Karakalpak State University named after Berdakh
Solution Of The Kosha Problem For Ordinary Differential Equations By Implicit Different Methods, A Otarov
Karakalpak Scientific Journal
The paper deals with a boundary value problem for linear differential equations with a retarded argument and also algorithm-based solutions are given.
Some Border Set Mathematical Problems For Differential Equations With Delayed Argument.,
2019
Karakalpak State University named after Berdakh
Some Border Set Mathematical Problems For Differential Equations With Delayed Argument., O Kurbanbaev
Karakalpak Scientific Journal
The paper deals with a boundary value problem for linear differential equations with a retarded argument and also algorithm-based solutions are given.
Computer Modeling Of Processes Of Variation Of Thin
Plates Located In Electromagnetic Field,
2019
Nukus Branch of Tashkent University of Information Technologies named after Muhammad al-Khowrezmi
Computer Modeling Of Processes Of Variation Of Thin Plates Located In Electromagnetic Field, B Aytmuratov
Karakalpak Scientific Journal
This article describes the development of an algorithm for calculating magnetoelastic thin plates with a complex shape based on a combination of the R-function methods of V. L. Rvachev and the Bubnov-Galerkin variation method that automates the process of oscillation of magnetoelastic thin plates with a complex shape. The problems of oscillations of magnetoelastic thin plates with a complex shape in the presence of an electromagnetic field are solved.
Heterogeneous Boolean Networks With Two Totalistic Rules,
2019
University of Nebraska at Omaha
Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh
UNO Student Research and Creative Activity Fair
Boolean Networks are being used to analyze models in biology, economics, social sciences, and many other areas. These models simplify the reality by assuming that each element in the network can take on only two possible values, such as ON and OFF. The node evolution is governed by its interaction with other nodes in its neighborhood, which is described mathematically by a Boolean function or rule. For simplicity reasons, many models assume that all nodes follow the same Boolean rule. However, real networks often use more than one Boolean rule and therefore are heterogeneous networks. Heterogeneous networks have not yet …
Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains,
2019
University of Nebraska at Omaha
Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains, Matthew Eller
UNO Student Research and Creative Activity Fair
Description: The Fourier series expansion method is an invaluable approach to solving partial differential equations, including the heat and wave equations. For homogeneous heat and wave equations, the solution can readily be found through separation of variables and then expansion of the solution in terms of the eigenfunctions. Solutions to inhomogeneous heat and wave equations through Fourier series expansion methods were not readily available in the literature for two- and three-dimensional cases. In my previous paper, I developed an approach for solving inhomogeneous heat and wave equations on cubic domains using Fourier series expansion methods. I shall extend my …
Forensics Analysis For Bone Pair Matching Using Bipartite Graphs In Commingled Remains,
2019
University of Nebraska at Omaha
Forensics Analysis For Bone Pair Matching Using Bipartite Graphs In Commingled Remains, Ryan Ernst
UNO Student Research and Creative Activity Fair
Identification of missing prisoners of war is a complex and time consuming task. There are many missing soldiers whose remains have yet to be returned to their families and loved ones. This nation has a solemn obligation to its soldiers and their families who have made the ultimate sacrifice for their country. There are currently over 82,000 unidentified prisoners of war which are identified at a rate of 100+ per year. At this rate it would take 300+ years to complete the identification process. Previously, anthropologists used excel spreadsheets to sort through skeletal data. This project aims to streamline the …
Large Scale Dynamical Model Of Macrophage/Hiv Interactions,
2019
University of Nebraska at Omaha
Large Scale Dynamical Model Of Macrophage/Hiv Interactions, Sean T. Bresnahan, Matthew M. Froid
UNO Student Research and Creative Activity Fair
Properties emerge from the dynamics of large-scale molecular networks that are not discernible at the individual gene or protein level. Mathematical models - such as probabilistic Boolean networks - of molecular systems offer a deeper insight into how these emergent properties arise. Here, we introduce a non-linear, deterministic Boolean model of protein, gene, and chemical interactions in human macrophage cells during HIV infection. Our model is composed of 713 nodes with 1583 interactions between nodes and is responsive to 38 different inputs including signaling molecules, bacteria, viruses, and HIV viral particles. Additionally, the model accurately simulates the dynamics of over …
Experience Of A Noyce-Student Learning Assistant In An Inquiry-Based Learning Class,
2019
University of Nebraska at Omaha
Experience Of A Noyce-Student Learning Assistant In An Inquiry-Based Learning Class, Melissa Riley
UNO Student Research and Creative Activity Fair
This presentation refers to an undergraduate course called introduction to abstract mathematics at the University of Nebraska at Omaha. During the academic year 2017-2018, undergraduate, mathematics student Melissa Riley was a Noyce-student learning assistant for the Inquiry Based Learning (IBL) section of the course. She assisted the faculty-in-charge with all aspects of the course. These included: materials preparation, class organization, teamwork, class leading, presentations, and tutoring. This presentation shall address some examples of how the IBL approach can be used in this type of class including: the structure of the course, the activities and tasks performed by the students, learning …
Dense Geometry Of Music And Visual Arts: Vanishing Points, Continuous Tonnetz, And Theremin Performance,
2019
Independent researcher, Palermo, Italy
Dense Geometry Of Music And Visual Arts: Vanishing Points, Continuous Tonnetz, And Theremin Performance, Maria Mannone, Irene Iaccarino, Rosanna Iembo
The Transdisciplinary STEAM+ Journal
The dualism between continuous and discrete is relevant in music theory as well as in performance practice of musical instruments. Geometry has been used since longtime to represent relationships between notes and chords in tonal system. Moreover, in the field of mathematics itself, it has been shown that the continuity of real numbers can arise from geometrical observations and reasoning. Here, we consider a geometrical approach to generalize representations used in music theory introducing continuous pitch. Such a theoretical framework can be applied to instrument playing where continuous pitch can be naturally performed. Geometry and visual representations of concepts of …
Parametric Natura Morta,
2019
Independent researcher, Palermo, Italy
Parametric Natura Morta, Maria C. Mannone
The Transdisciplinary STEAM+ Journal
Parametric equations can also be used to draw fruits, shells, and a cornucopia of a mathematical still life. Simple mathematics allows the creation of a variety of shapes and visual artworks, and it can also constitute a pedagogical tool for students.
