Mathematics

Works Published in 2006

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Displaying works 161 - 174 of 174 in total

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

2006 journal article

Physiologically-based pharmacokinetic modeling of benzene in humans: A Bayesian approach

RISK ANALYSIS, 26(4), 925–943.

By: K. Yokley n, H. Tran* , K. Pekari, S. Rappaport *, V. Riihimaki, N. Rothman, S. Waidyanatha *, P. Schlosser*

author keywords: Bayesian; benzene; dosimetry; human; metabolism; PBPK; variability
TL;DR: A human physiologically‐based pharmacokinetic (PBPK) model that quantifies tissue doses of benzene and its key metabolites, benzene oxide, phenol, and hydroquinone after inhalation and oral exposures is described. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

Monte Carlo simulation of a solvated ionic polymer with cluster morphology

SMART MATERIALS & STRUCTURES, 15(1), 187–199.

By: J. Matthews n, E. Lada*, L. Weiland*, R. Smith n  & D. Leo*

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

Discrete-time sis epidemic model in a seasonal environment

SIAM JOURNAL ON APPLIED MATHEMATICS, 66(5), 1563–1587.

By: J. Franke* & A. Yakubu

author keywords: epidemics; infectives; periodic environments; susceptibles
TL;DR: It is shown that in periodic environments, it is possible for the infective population to be on a chaotic attractor while the demographic dynamics is nonchaotic. (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

2006 journal article

A unified framework for modeling hysteresis in ferroic materials

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 54(1), 46–85.

By: R. Smith n , S. Seelecke n, M. Dapino * & Z. Ounaies *

author keywords: ferroic materials; unified models; hysteresis; constitutive nonlinearities
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

Interface conditions for Stokes equations with a discontinuous viscosity and surface sources

APPLIED MATHEMATICS LETTERS, 19(3), 229–234.

By: K. Ito n & Z. Li n 

author keywords: incompressible Stokes equations; interface; discontinuous viscosity; interface conditions; singular sources
TL;DR: The interface conditions, or jump conditions, for the pressure and the velocity of the solution to the incompressible Stokes equations with a discontinuous viscosity and a singular source along an interface are derived in this work. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

A numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage

JOURNAL OF BIOMECHANICS, 39(1), 177–183.

By: M. Haider n  & R. Schugart n

author keywords: biphasic poroviscoelastic model; articular cartilage; stress relaxation; numerical method
MeSH headings : Animals; Biomechanical Phenomena; Cartilage, Articular / physiology; Compressive Strength; Elasticity; Finite Element Analysis; Humans; Models, Biological; Viscosity
TL;DR: A method for numerical solution of the continuous spectrum linear biphasic poroviscoelastic BPVE model of articular cartilage using Gaussian quadrature integration combined with quadratic interpolation of the strain history is presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2006 journal article

Developing portfolios of water supply transfers

WATER RESOURCES RESEARCH, 42(5).

By: G. Characklis *, B. Kirsch*, J. Ramsey, K. Dillard n & C. Kelley n 

UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 journal article

Variation in volume production through clonal deployment: Results from a simulation model to minimize risk for both a currently known and unknown future pest

SILVAE GENETICA, 55(1), 25–37.

By: A. Yanchuk*, J. Bishir n, J. Russell* & K. Polsson*

author keywords: clonal forestry; genetic diversity; risk; merchantable volume loss; insect resistance
TL;DR: Reducing the effects of insect activity and attack on trees, by lowering the average annual temperature in the model, or turning off all insect ‘activity’, increased merchantable volume but did not change the optimum number of clones (~18) or deployment pattern (random mixture). (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
15. Life on Land (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Tagged particle limit for a Fleming-Viot type system

ELECTRONIC JOURNAL OF PROBABILITY, 11, 311–331.

By: I. Grigorescu * & M. Kang n

author keywords: Fleming-Viot; propagation of chaos; tagged particle; absorbing Brownian motio
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Reachable matrices by a QR step with shift

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 5(1), 91–107.

By: D. Chu  n & M. Chu* 

Contributors: D. Chu  n & M. Chu* 

author keywords: QR algorithm; shift; analytic QR decomposition; reachable matrices; reflexivity; symmetry; transitivity
TL;DR: It is proved that in general the QR algorithm with shift is neither reflexive nor symmetric and the set of all isospectral matrices "reachable" by the dynamics of the algorithm is studied. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2006 journal article

Idempotent-conjugate monoids with nilpotent unit groups

SEMIGROUP FORUM, 72(2), 329–336.

By: M. Putcha n

Source: Web Of Science
Added: August 6, 2018

2006 journal article

Physiologically-based pharmacokinetic modeling of genistein in rats, part I: Model development

RISK ANALYSIS, 26(2), 483–500.

By: P. Schlosser*, S. Borghoff, N. Coldham, J. David & S. Ghosh

author keywords: endocrine-active; genistein; PBPK; phytoestrogen; rat
MeSH headings : Animals; Blood Proteins / metabolism; Female; Genistein / administration & dosage; Genistein / blood; Genistein / pharmacokinetics; Humans; Male; Models, Biological; Phytoestrogens / administration & dosage; Phytoestrogens / blood; Phytoestrogens / pharmacokinetics; Protein Binding; Rats; Rats, Sprague-Dawley; Rats, Wistar; Risk; Tissue Distribution
TL;DR: A physiologically‐based pharmacokinetic (PBPK) model to quantify the internal, target‐tissue dosimetry of genistein in adult rats is developed and can serve as a template for other phytoestrogens and in the design of future experiments and research that can be used to fill data gaps and better estimate model parameters. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Communicating applied mathematics: Four examples

SIAM REVIEW, 48(2), 359–389.

By: D. Finkel, C. Kuster*, M. Lasater, R. Levy, J. Reese* & I. Ipsen* 

Contributors: D. Finkel, C. Kuster*, M. Lasater, R. Levy, J. Reese* & I. Ipsen

author keywords: education; mathematical writing; presentations; audience; peer critique
TL;DR: A water-supply problem considered by the optimization and hydrology communities for benchmarking purposes is introduced and a nonclassical shock wave previously unknown to exist in thin liquid films is discovered. (via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education (OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2006 journal article

Hermitian tensor product approximation of complex matrices and separability

REPORTS ON MATHEMATICAL PHYSICS, 57(2), 271–288.

By: S. Fei*, N. Jing n  & B. Sun*

Contributors: S. Fei*, N. Jing n  & B. Suna*

author keywords: separability; matrix; tensor product decomposition
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

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