Mathematics

Works Published in 2014

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Displaying works 201 - 211 of 211 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2014 journal article

MODEL VALIDATION FOR A NONINVASIVE ARTERIAL STENOSIS DETECTION PROBLEM

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 11(3), 427–448.

By: H. Banks n, S. Hu*, Z. Kenz*, C. Kruse, S. Shaw, J. Whiteman, M. Brewin, S. Greenwald, M. Birch n

author keywords: Viscoelastic model; sensitivity analysis; inverse problem; asymptotic theory
MeSH headings : Arterial Occlusive Diseases / diagnosis; Computational Biology; Confidence Intervals; Constriction, Pathologic / diagnosis; Finite Element Analysis; Hemodynamics; Humans; Least-Squares Analysis; Mathematical Concepts; Models, Cardiovascular; Models, Statistical; Phantoms, Imaging
TL;DR: A method has been proposed to detect shear waves in the chest cavity which have been generated by disturbances in the blood flow resulting from a stenosis by using one-dimensional shear wave experimental data from novel acoustic phantoms to validate a corresponding viscoelastic mathematical model. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type

Electronic Journal of Combinatorics, 21(1).

By: T. Nakanishi & S. Stella

Source: NC State University Libraries
Added: August 6, 2018

2014 journal article

Sparse interpolatory reduced-order models for simulation of light-induced molecular transformations

Optimization Methods & Software, 29(2), 264–273.

By: D. Mokrauer* & C. Kelley n 

TL;DR: A method for using interpolatory models to accurately and efficiently simulate molecular excitation and relaxation using sparse interpolation for efficiency and local error estimation and control for robustness and accuracy is described. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2014 journal article

Quantification of parameter and model uncertainty for shape memory alloy bending actuators

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 25(2), 229–245.

By: J. Crews* & R. Smith n 

author keywords: Shape memory; uncertainty quantification; Markov chain Monte Carlo
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

On the solvability of multipoint boundary value problems for discrete systems at resonance

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 20(1), 24–35.

By: D. Maroncelli  n & J. Rodriguez n

author keywords: boundary value problems; Brower's fixed point theorem; Lyapunov Schmidt procedure; topological degree theory; resonance
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Long-term models of oxidative stress and mitochondrial damage in insulin resistance progression

JOURNAL OF THEORETICAL BIOLOGY, 340, 238–250.

By: E. Graham* & F. Adler

author keywords: Type 2 diabetes; Superoxide
MeSH headings : Active Transport, Cell Nucleus; Adipose Tissue / metabolism; Animals; Blood Glucose / metabolism; DNA, Mitochondrial / metabolism; Diabetes Mellitus, Type 2 / metabolism; Diabetes Mellitus, Type 2 / pathology; Glucose / metabolism; Humans; Insulin / metabolism; Insulin Resistance; Liver / metabolism; Mitochondria / metabolism; Models, Biological; Muscle, Skeletal / metabolism; Oxidative Stress; Rats; Reactive Oxygen Species; Superoxides / metabolism; Time Factors
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Confined Dissipative Droplet Solitons in Spin-Valve Nanowires with Perpendicular Magnetic Anisotropy

PHYSICAL REVIEW LETTERS, 112(4).

By: E. Iacocca *, R. Dumas*, L. Bookman n, M. Mohseni *, S. Chung *, M. Hoefer n, J. Akerman *

TL;DR: Numerical and asymptotic analyses are used to demonstrate the existence and properties of novel solitons in confined structures and open up new possibilities for the study of low-dimensionalsolitons and droplet applications in nanostructures. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models

JOURNAL OF COMPUTATIONAL PHYSICS, 257, 782–812.

By: J. Harlim*, A. Mahdi n & A. Majda*

author keywords: Ensemble Kalman filter; Nonlinear regression models; Parameter estimation of stochastic differential equations; Multi-level models
TL;DR: A new finite ensemble Kalman filtering algorithm is developed for estimating the state, the linear and nonlinear model coefficients, the model and the observation noise covariances from available partial noisy observations of the state. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

A modeling and uncertainty quantification framework for a flexible structure with macrofiber composite actuators operating in hysteretic regimes

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 25(2), 204–228.

By: Z. Hu n, R. Smith n , N. Burch n, M. Hays* & W. Oates *

author keywords: Active composites; morphing; piezoelectric; optimization; piezoelectric; hysteresis
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

A bootstrapping approach for computing multiple solutions of differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 258, 181–190.

By: W. Hao *, J. Hauenstein n, B. Hu * & A. Sommese*

author keywords: Domain decomposition; Homotopy continuation; Differential equations; Multiple solutions; Numerical algebraic geometry
TL;DR: This work uses a homotopy continuation based method arising from domain decomposition to solve polynomial systems arising from subdomains and then uses homOTopy continuation to build solutions of the originalPolynomial system. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

LIE SUPERALGEBRAS ARISING FROM BOSONIC REPRESENTATION

COMMUNICATIONS IN ALGEBRA, 42(1), 259–270.

By: N. Jing n  & C. Xu *

Contributors: N. Jing n  & C. Xu *

author keywords: Bosonic fields; Realization; Toroidal Lie superalgebra; Primary 17B60; 17B67; 17B69; Secondary 17A45; 81R10
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

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