Works Published in 2007
Displaying works 41 - 54 of 54 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2007 journal article
A stress-dependent hysteresis model for ferroelectric materials
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 18(1), 69–88.
author keywords: PZT; PLZT; ferroelastic; THUNDER; hysteresis; ferroelectric; Helmholtz
oai.dtic.mil (repository)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
Using mathematical modeling and control to develop structured treatment interruption strategies for HIV infection
DRUG AND ALCOHOL DEPENDENCE, 88, S41–S51.
author keywords: STI; CD4; HIV dynamics; drug resistance; viral load
MeSH headings : CD4 Antigens / immunology; HIV Infections / drug therapy; HIV Infections / immunology; Humans; Models, Theoretical
TL;DR:
It is argued that the most promising STI strategies are adaptive treatment strategies, which involve cycles of treatment withdrawal and re-initiation and that, when such mathematical representations of processes underlying a disease or disorder are available, they can be an important tool for suggesting adaptive treatment Strategies for clinical study.
(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
2007 journal article
Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space
Mathematical Biosciences and Engineering, 4(3), 403–430.
MeSH headings : Algorithms; Computer Simulation; Models, Biological; Sensitivity and Specificity
TL;DR:
A theory for sensitivity with respect to parameters in a convex subset of a topological vector space of dynamical systems in a Banach space is developed and schemes that approximate the measures in the Prohorov sense are illustrated.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
Monotone approximation for a nonlinear size and class age structured epidemic model
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 8(3), 834–852.
author keywords: size and class age structured models; well-posedness; monotone approximations; comparison principle
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Inverse source problem and active shielding for composite domains
Applied Mathematics Letters, 20(5), 511–515.
author keywords: multiply connected domain; inverse source; active shielding; control of sound; Calderon's projection; difference potentials method
TL;DR:
In the paper, general solution for a discretized composite AS problem is obtained and it is shown that it reduces to solving a collection of auxiliary problems for simply connected domains.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2007 journal article
Solution of time-independent Schrodinger equation by the imaginary time propagation method
JOURNAL OF COMPUTATIONAL PHYSICS, 221(1), 148–157.
author keywords: imaginary time propagation; Schrodinger equation; Lanczos method; operator-splitting
TL;DR:
The results show that the ITP method has better scaling with respect to matrix size as compared to the implicitly restarted Lanczos method.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Mechanism of electric fatigue crack growth in lead zirconate titanate
ACTA MATERIALIA, 55(1), 301–312.
author keywords: ferroelectricity; fracture; finite element analysis; electroceramics
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
A dynamic model for induced reactivation of latent virus
JOURNAL OF THEORETICAL BIOLOGY, 244(3), 451–462.
author keywords: reactivation of latent virus; mathematical model; KSHV; Herpes virus
MeSH headings : Butyrates / pharmacology; Cell Cycle; Cell Death; Cell Line, Tumor; DNA Replication; DNA, Viral / physiology; Herpesvirus 8, Human / physiology; Humans; Lymphoma / pathology; Lymphoma / virology; Models, Biological; Models, Statistical; Virus Activation; Virus Latency / drug effects
TL;DR:
A deterministic mathematical model is developed to describe reactivation of latent virus by chemical inducers and provides good agreement with two independent sets of experimental data, but also points to the need for a new class of experiments which are required for further understanding of the underlying mechanisms.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Model-based robust control design for magnetostrictive transducers operating in hysteretic and nonlinear regimes
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 15(1), 22–39.
author keywords: constitutive nonlinearities; distributed parameter systems; hysteresis; inverse filter; magnetostrictive devices; robust control design
TL;DR:
It is illustrated that the robust designs incorporating inverse compensators can achieve the required tracking tolerance of 1-2 mum for the motivating milling application, whereas robust designs which treat the uncompensated hysteresis and nonlinearities as unmodeled disturbances cannot achieve design specifications.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
Estimation and prediction with HIV-treatment interruption data
BULLETIN OF MATHEMATICAL BIOLOGY, 69(2), 563–584.
author keywords: HIV models; treatment interruptions; censored data; parameter estimation; prediction
MeSH headings : Antiretroviral Therapy, Highly Active / methods; CD4 Lymphocyte Count; Cohort Studies; Data Interpretation, Statistical; Drug Administration Schedule; HIV Infections / drug therapy; HIV Infections / immunology; HIV-1; Humans; Longitudinal Studies; Models, Biological; Predictive Value of Tests; Viral Load
TL;DR:
This work uses a nonlinear dynamical mathematical model in attempts to fit individual patient data for HIV patients undergoing treatment interruptions using a statistically-based censored data method and inverse problem techniques to estimate dynamic parameters.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Condition estimates for pseudo-arclength continuation
SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(1), 263–276.
author keywords: pseudo-arclength continuation; singularity; GMRES; singular vectors; eigenvalues; rank-one update; turning point; simple fold; fold point; limit point
TL;DR:
The condition number of the Jacobian is bound in pseudo-arclength continuation problems, and the effect of this condition number on the linear system solution in a Newton-GMRES solve is quantified.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2007 journal article
Comparison between stochastic and deterministic selection-mutation models
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 4(2), 133–157.
author keywords: selection-mutation models; competitive exclusion; coexistence; stochastic differential equations
MeSH headings : Algorithms; Animals; Biological Evolution; Computer Simulation; Genetic Variation / genetics; Genetics, Population; Humans; Models, Genetic; Models, Statistical; Mutation / genetics; Selection, Genetic; Stochastic Processes
TL;DR:
If the differences in the growth-to-mortality ratios are small in the pure selection case, it cannot be determined a priori which subpopulation will have the highest probability of surviving and winning the competition.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
15. Life on Land
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
A delayed nonlinear PBPK model for genistein dosimetry in rats
BULLETIN OF MATHEMATICAL BIOLOGY, 69(1), 93–117.
author keywords: genistein; biliary excretion; pharmacokinetics; delay-differential equations
MeSH headings : Animals; Bile / metabolism; Biliary Tract / drug effects; Biliary Tract / metabolism; Genistein / pharmacokinetics; Genistein / pharmacology; Models, Biological; Nonlinear Dynamics; Rats
TL;DR:
A physiologically based pharmacokinetic (PBPK) model that focuses on biliary excretion with the goal of accurately simulating the observed suppression of genistein is described.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations
Journal of Scientific Computing, 30(1), 61–81.
author keywords: nonlinear Poisson-Boltzmann equation; exterior problem; immersed interface method; monotone iterative method
TL;DR:
A fast finite difference method based on the monotone iterative method and the fast Poisson solver on irregular domains for a 2D nonlinear Poisson–Boltzmann equation is proposed and analyzed and is efficient in terms of accuracy, speed, and flexibility in dealing with the geometry of the domain.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018
Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.
Certain data included herein are derived from the Web of Science© and InCites© (2024) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.
