Search Results

Methods and results from the genome-wide association group at GAW20
This article reports on promising statistical approaches and findings of the members of the Genome-wide Association Study group applied on real and simulated data which encompass the current topics of epigenetic and pharmacogenomics.
Methods to evaluate rare variants gene-age interaction for triglycerides
This article discusses the development of two statistical methods to test the gene environment interaction effect of rare variants.
Interactions between mitoNEET and NAF-1 in cells
This article uses yeast two-hybrid to demonstrate through vivo bimolecular fluorescence complementation (BiFC), direct coupling analysis (DCA), RNA-sequencing, ROS and iron imaging, and single and double shRNA lines with suppressed mNT, NAF-1 and mNT/NAF-1 expression, that mNT and NAF-1 directly interact in mammalian cells and could function in the same cellular pathway.
Extremality and dynamically defined measures, part 1: Diophantine properties of quasi-decaying measures
This article presents a new method of proving the Diophantine extremality of various dynamically defined measures, vastly expanding the class of measures known to be extremal.
Phylogenetic analysis of eukaryotic NEET proteins uncovers a link between a key gene duplication event and the evolution of vertebrates
This article describes the use of three members of the human NEET protein family (CISD1, mitoNEET; CISD2, NAF-1 or Miner 1; and CISD3, Miner2) as guides to conduct a phylogenetic analysis of eukaryotic NEET proteins and their evolution.
Polynomial Harmonic Decompositions
Article on polynomial harmonic decompositions. For real polynomials in two indeterminates a classical polynomial harmonic decomposition is extended from square-norm divisors to conic ones.
Identification and Network-Enabled Characterization of Auxin Response Factor Genes in Medicago truncatula
This article discusses a comprehensive analysis of the Medicago truncatula genome and transcriptome that entailed search for novel Auxin Response Factor genes and the co-expression networks.
Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions
This article discusses the construction of six generalized second-order parameter-free duality models, and proves several weak, strong, and strict converse duality theorems for a discrete minmax fractional programming problem using two partitioning schemes and various types of generalized second-order (ℱ, β, ɸ, 𝜌, θ, 𝑚)-univexity assumptions.
A novel statistical method for rare-variant association studies in general pedigrees
In this paper, the authors discuss a novel statistical method for rare-variant association studies in general pedigrees for quantitative traits. This method uses a retrospective view that treats the traits as fixed and the genotypes as random, which accounts for complex and undefined ascertainment of families.
Testing rare variants for hypertension using family-based tests with different weighting schemes
This paper proposes 4 weighting schemes for the family-based rare variants test (FBAT-v) to test for the effects of both rare and common variants across the genome.
Unconventional height functions in simultaneous Diophantine approximation
This article discusses three examples of nonstandard height functions, computing their exponents of irrationality as well as giving more precise results.
Role of Exponential Type Random Invexities for Asymptotically Sufficient Efficiency Conditions in Semi-Infinite Multi-Objective Fractional Programming
This article introduces several notions of random exponential type asymptotic invexities to establish results to the context of a class of asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programing.
Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains
This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Almost Holomorphic Poincaré Series Corresponding to Products of Harmonic Siegel–Maass Forms
This article investigates Poincaré series, particularly the study of Siegel–Poincaré series of degree 2 attached to products of terms of Fourier series of harmonic Siegel–Maass forms and holomorphic Siegel modular forms
Glucose or Altered Ceramide Biosynthesis Mediate Oxygen Deprivation Sensitivity Through Novel Pathways Revealed by Transcriptome Analysis in Caenorhabditis elegans
This article discusses how RNA-sequencing analysis was performed to assess how a glucose-supplemented diet and/or a hyl-2 mutation altered the transcriptome.
Identification of Novel Genomic Islands in Liverpool Epidemic Strain of Pseudomonas aeruginosa Using Segmentation and Clustering
This article utilizes a recursive segmentation and cluster procedure presented as a genome-mining tool, GEMINI, to decipher genomic islands and understand their contributions to the evolution of virulence and antibiotic resistance in Pseudomonas aeruginosa.
Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains
This article proves the existence of an infinite number of radial solutions of Δ(u) + f(u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where f is odd with f < 0 on (0, β), f > 0 on (β,∞) where β > 0.
Generalized second-order parametric optimality conditions in semiinfinitediscrete minmax fractional programming and second order (F,β,φ,ρ,θ,m)-univexity
Article discusses establishing numerous sets of generalized second order paramertic sufficient optimality conditions for a semiinfinite discrete minmax fractional programming problem, while the results on semiinfinite discrete minmax fractional programming problem achieved based on some partitioning schemes under various types of generalized second order univexity assumptions.
Rapid identification of causative insertions underlying Medicago truncatula Tnt1 mutants defective in symbiotic nitrogen fixation from a forward genetic screen by whole genome sequencing
This article demonstrates that whole genome sequencing is an efficient approach for identification of causative genes underlying symbiotic nitrogen fixation defective phenotypes in Medicago truncatula Tnt1 insertion mutants obtained via forward genetic screens.
ABA Is Required for Plant Acclimation to a Combination of Salt and Heat Stress
This article highlights the important role abscisic acid plays in the acclimation of plants to a combination of two different abiotic stresses.
Curvature Bundle Morphisms for Hypersurface Generalized Dirac Operators
This article establishes uses a Gauss-like relationship to examine how the curvature bundle morphisms relate.
Epilepsy Detection Using EEG with Different Time Frames
This article analyzes and classifies EEG signals using wavelets decomposition and support vector machines (SVM).
Loitering at the hilltop on exterior domains
In this article, the author proves the existence of an infinite number of radial solutions of Δu+f(u)=0 on the exterior of the ball of radius R>0 centered at the origin and f is odd with f<0 on (0,β), f>0 on (β,δ), and f≡0 for u>δ. The primitive F(u)=∫u0f(t)dt has a "hilltop" at u=δ which allows one to use the shooting method and ODE techniques to prove the existence of solutions.
Activation of apoptosis in NAF-1-deficient human epithelial breast cancer cells
This article shows that small hairpin RNA-mediated suppresion of NAF-1 results in the activation of apoptosis in epithelial breast cancer cells and xenograft tumors.
Determinant Identities and the Geometry of Lines and Circles
This article focuses on the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
The Riemann hypothesis illuminated by the Newton flow of ζ
This article analyzes the Newton flow of the Riemann zeta function and rederives in an elementary way the Riemann-von Mangoldt estimate of the number of non-trivial zeros below a given imaginary part.
Ultra-Fast Alterations in mRNA Levels Uncover Multiple Players in Light Stress Acclimation in Plants
This article contains RNA sequencing analysis of Arabidopsis thaliana plants subjected to light stress in order to identify and characterize rapid changes in the steady-state level of different transcripts in response to light stress.
Sturm Bounds for Siegel Modular Forms
This article establishes Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. This includes an inductive proof that exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to torsion points.
The Spreading of Charged Micro-Droplets
This article considers the analysis of the Betelu-Fontelos model of the spreading of a charged microdroplet on a at dielectric surface whose spreading is driven by surface tension and electrostatic repulsion.
Newton flow of the Riemann zeta function: separatrices control the appearance of zeros
This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
An inductive proof of the Cayley-Hamilton theorem
In this article, the author investigates a computational proof of the Cayley-Hamilton theroem, based on induction.
Generalization of Entropy Based Divergence Measures for Symbolic Sequence Analysis
Article on the generalization of entropy based divergence measures for symbolic sequence analysis.
Stochastics and Thermodynamics for Equilibrium Measures of Holomorphic Endomorphisms on Complex Projective Spaces
This article proves that the dynamical system (f,μφ) enjoys exponential decay of correlations of Hölder continuous observables as well as the Central Limit Theorem and the Law of Iterated Logarithm for the class of these variables that, in addition, satisfy a natural co-boundary condition. This article also shows that the topological pressure function t ↦ P(tφ) is real-analytic throughout the open set of all parameters t for which the potentials tφ have pressure gaps.
Maximum of a function
In this article, the author presents a generalization of a certain Putnam problem.
Square roots of real 2 x 2 matrices
In this article, the author investigates the real 2 x 2 matrices which admit real square roots.
Spreading of Charged Micro-Droplets
This article studies the spreading of a charged microdroplet using the lubrication approximation.
Detecting Evolutionary Strata on the Human X Chromosome in the Absence of Gametologous Y-Linked Sequences
Article on detecting evolutionary strata on the human X chromosome in the absence of gametologous Y-linked sequences.
Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds
This article identifies a class of magnetic Schrödinger operators on Kähler manifolds which exhibit pure point spectrum.
On a class of Stieltjes-Van Vleck polynomials
Article on a class of Stieltjes-Van Vleck polynomials.
On a family of iterated integrals
This article discusses a family of iterated integrals and generalizing an iterated integral identity proposed at a Putnam competition in 1941.
Interpreting genomic data via entropic dissection
Article on interpreting genomic data via entropic dissection.
An elementary characterization of the orders of non-abelian groups
In this article, the author presents an elementary proof of a result due to Dickson characterizing those integers n admitting non-abelian groups of order n.
On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry
This article examines how in view of the fundamental theorem of algebra and basic Galois theory solving nonlinear systems of polynomial equations exactly means in general reducing them to one single equation in one variable.
Newton’s Method in the Context of Gradients
This article gives a common theoretical treatment for gradient and Newton type methods for general classes of problems.
Projecting on polynomial solutions of second order partial differential operators
Article discussing projecting on polynomial solutions of second order partial differential operators.
Projecting on Polynomial Dirac Spinors
In this paper, the authors adapt Axler and Ramey's method of constructing the harmonic part of a homogeneous polynomial to the Fischer decomposition associated to Dirac operators acting on polynomial spinors.
The essential uniqueness of the Connes-Morley theorem
Article on the essential uniqueness of the Connes-Morley theorem.
On Morley's miracle theorem
Article on Morley's miracle theorem. The authors use work by A. Connes to explore possible generalizations of Morley's trisector theorem to triangles in arbitrary value fields.
DP1 and Completely Continuous Operators
This article demonstrates a relationship between the Dunford-Pettis property and the DP1 property with a similar relationship for vector-valued continuous function spaces.
On Bär's Conformal Lower Bound for the Spectrum of Generalized Dirac Operators
Article discussing Bär's conformal lower bound for the spectrum of generalized Dirac operators.
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