Mathematics

Works Published in 2007

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Displaying works 161 - 180 of 180 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

Mechanism of electric fatigue crack growth in lead zirconate titanate

ACTA MATERIALIA, 55(1), 301–312.

By: I. Westrain, W. Oates n, D. Lupascu *, J. Roedel & C. Lynch *

author keywords: ferroelectricity; fracture; finite element analysis; electroceramics
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Introducing desirable transgenes into insect populations using Y-linked meiotic drive - A theoretical assessment

EVOLUTION, 61(4), 717–726.

By: Y. Huang n, K. Magori n, A. Lloyd n  & F. Gould n 

Contributors: Y. Huang n, K. Magori n, A. Lloyd n  & F. Gould n 

author keywords: autosomal modifier; sex-ratio distortion; transgene; X-chromosome responder; Y-chromosome driver
MeSH headings : Aedes / genetics; Alleles; Animals; Computer Simulation; Gene Transfer Techniques; Genetic Engineering / methods; Genetics, Population; Insect Vectors / genetics; Male; Meiosis; Models, Genetic; Parasitic Diseases / prevention & control; Transgenes / genetics
TL;DR: This work theoretically assesses the feasibility of introducing antipathogen genes into wild Aedes aegypti populations by using a naturally occurring meiotic drive system and uses mathematical models and computer simulations to determine how the post-introduction dynamics of the antipathogenic gene are affected by specific genetic characteristics of the system. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

BRST extension of geometric quantization

FOUNDATIONS OF PHYSICS, 37(1), 103–124.

By: R. Fulp n

author keywords: geometric quantization; BRST quantization
Source: Web Of Science
Added: August 6, 2018

2007 journal article

A note on radiative transfer in a finite layer

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40(8), 1785–1789.

By: C. Siewert n

Source: Web Of Science
Added: August 6, 2018

2007 journal article

The temperature-jump problem based on the linearized Boltzmann equation for a binary mixture of rigid spheres

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 26(1), 132–153.

By: R. Garcia & C. Siewert*

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres; temperature-jump coefficient
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Quasilinear parabolic and elliptic equations with nonlinear boundary conditions

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 66(3), 639–662.

By: C. Pao n

author keywords: quasilinear parabolic and elliptic equations; existence and uniqueness; maximal and minimal solutions; asymptotic behavior; upper and lower solutions; heat-transfer problems
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.

By: G. Kepler n, H. Nguyen n, J. Webster-Cyriaque* & H. Banks n

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
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Weakly nonlinear discrete multipoint boundary value problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 329(1), 77–91.

By: J. Rodriguez n & P. Taylor n

author keywords: boundary value problems; implicit function theorem; Lyapunov-Schmidt; projection
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Updating quadratic models with no spillover effect on unmeasured spectral data

INVERSE PROBLEMS, 23(1), 243–256.

By: M. Chu n , W. Lin * & S. Xu*

Contributors: M. Chu n , W. Lin * & S. Xu*

UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
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.

By: J. Nealis n & R. Smith n 

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, ORCID
Added: August 6, 2018

2007 journal article

L-infinity algebra structures from Lie algebra deformations

JOURNAL OF PURE AND APPLIED ALGEBRA, 208(3), 779–784.

By: J. Gao n

Source: Web Of Science
Added: August 6, 2018

2007 journal article

Estimation and prediction with HIV-treatment interruption data

BULLETIN OF MATHEMATICAL BIOLOGY, 69(2), 563–584.

By: B. Adams n, H. Banks n, M. Davidian n  & E. Rosenberg*

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
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Shifts of finite type and Fibonacci Harps

APPLIED MATHEMATICS LETTERS, 20(2), 138–141.

By: A. Crannell*, S. May n & L. Hilbert n

author keywords: fractal strings; lattice strings; subshifts; Cantor sets; baker's map; Fibonacci
TL;DR: An explicit connection is made between the Fibonacci Harp and two well-known dynamical systems: subshifts of finite type and the baker’s map on the unit interval. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Model theory of partial differential fields: From commuting to noncommuting derivations

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135(6), 1929–1934.

By: M. Singer n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Heat transfer between parallel plates: An approach based on the linearized Boltzmann equation for a binary mixture of rigid-sphere gases

PHYSICS OF FLUIDS, 19(2).

By: R. Garcia & C. Siewert n

Source: Web Of Science
Added: August 6, 2018

2007 journal article

Direct transcription solution of higher-index optimal control problems and the virtual index

APPLIED NUMERICAL MATHEMATICS, 57(3), 281–296.

By: A. Engelsone n, S. Campbell n  & J. Betts*

author keywords: numerical methods; optimal control; direct transcription
TL;DR: It is demonstrated that direct transcription methods, which use a different approach, can successfully solve some higher index equality constrained optimal control problems and that the role of the index needs reinterpretation when usingdirect transcription methods. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Condition estimates for pseudo-arclength continuation

SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(1), 263–276.

By: K. Dickson*, C. Kelley* , I. Ipsen & I. Kevrekidis

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.

By: A. Ackleh* & S. Hu n

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.

By: M. Zagera, P. Schlosser* & H. Tran n 

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, ORCID
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.

By: Z. Li n , C. Pao n & Z. Qiao *

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, ORCID, Crossref
Added: August 6, 2018

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