Works Published in 2013
Displaying works 181 - 200 of 207 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2013 journal article
Quantifying CFSE label decay in flow cytometry data
APPLIED MATHEMATICS LETTERS, 26(5), 571–577.
author keywords: Carboxyfluorescein succinimidyl ester (CFSE); Ordinary differential equation models; Inverse problems; Exponential decay; Gompertz growth; Akiake Information
TL;DR:
A series of models for the label decay in cell proliferation assays when the intracellular dye carboxyfluorescein succinimidyl ester is used as a staining agent are developed.
(via Semantic Scholar)
doi.org (publisher)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Patient-specific modeling of cardiovascular and respiratory dynamics during hypercapnia
Mathematical Biosciences, 241(1), 56–74.
author keywords: Sensitivity analysis; Parameter estimation; Physiological models; Cerebral blood flow; Complex models
MeSH headings : Cerebrovascular Circulation; Heart Failure / physiopathology; Humans; Hypercapnia / physiopathology; Male; Mathematical Concepts; Middle Aged; Models, Biological; Models, Cardiovascular; Respiratory Physiological Phenomena; Vascular Resistance
TL;DR:
A lumped cardiovascular-respiratory system-level model is developed that incorporates patient-specific data to predict cardiorespiratory response to hypercapnia (increased CO(2) partial pressure) for a patient with congestive heart failure (CHF).
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, Crossref
Added: August 6, 2018
2013 journal article
Optimal control laws for traffic flow
APPLIED MATHEMATICS LETTERS, 26(6), 617–623.
author keywords: Traffic signal control; Binary optimization; Lyapunov method; Real time optimal control
TL;DR:
Optimal “on–off” laws for the traffic signals are developed based on the bilinear control problem with the binary constraints and a real-time optimal signal law is developed using a novel binary optimization method.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 242, 213–231.
author keywords: Differential-algebraic equation; Optimal control; Radau; Gauss-Lobatto; Direct transcription; Numerical methods
TL;DR:
Both a direct transcription approach and the solution of the necessary conditions are examined for two important discretizations of optimal control problems with linear time-varying DAEs as the process and quadratic cost functionals.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2013 journal article
Numerical simulation of water resources problems: Models, methods, and trends
ADVANCES IN WATER RESOURCES, 51, 405–437.
author keywords: Adaptive methods; Problem solving environments; Multiscale methods; Integral methods; GPUs; Error estimation and control
TL;DR:
The goal of this work is to provide guidance to enable modelers of water resources systems to make sensible choices when developing solution methods based upon the current state of knowledge and to focus future collaborative work among water resources scientists, applied mathematicians, and computational scientists on productive areas.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2013 journal article
Isosingular Sets and Deflation
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 13(3), 371–403.
author keywords: Irreducible algebraic set; Deflation; Deflation sequence; Multiplicity; Isosingular set; Isosingular point; Isosingular local dimension; Numerical algebraic geometry; Polynomial system; Witness point; Witness set; Local dimension
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Generalized Bell states and principal realization of the Yangian Y(sl(N))
JOURNAL OF MATHEMATICAL PHYSICS, 54(2).
Sources: Web Of Science, ORCID
Added: August 6, 2018
2013 journal article
Developing Predictive Approaches to Characterize Adaptive Responses of the Reproductive Endocrine Axis to Aromatase Inhibition: II. Computational Modeling
TOXICOLOGICAL SCIENCES, 133(2), 234–247.
author keywords: endocrine disruptors; biological modeling; non-mammalian species; dose response; biomarkers
MeSH headings : Adaptation, Physiological / drug effects; Animal Testing Alternatives; Animals; Aromatase Inhibitors / toxicity; Computer Simulation; Cyprinidae / physiology; Dose-Response Relationship, Drug; Estradiol / blood; Estrogen Antagonists / toxicity; Fadrozole / toxicity; Female; Hypothalamo-Hypophyseal System / drug effects; Hypothalamo-Hypophyseal System / enzymology; Male; Ovary / drug effects; Ovary / enzymology; Predictive Value of Tests; Time Factors
TL;DR:
A computational model of the hypothalamic-pituitary-gonadal (HPG) axis in female fathead minnows is developed to predict dose-response and time-course behaviors for endocrine effects of the aromatase inhibitor, fadrozole (FAD).
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Communication: Certifying the potential energy landscape
JOURNAL OF CHEMICAL PHYSICS, 138(17).
TL;DR:
This work applies Smale's α-theory to stationary points, providing a certification serving as a mathematical proof that the numerical approximation does indeed correspond to an actual stationary point, independent of the precision employed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Center conditions and cyclicity for a family of cubic systems: Computer algebra approach
MATHEMATICS AND COMPUTERS IN SIMULATION, 87, 55–67.
author keywords: Cyclicity; Limit cycles; Center-focus problem
TL;DR:
Using methods of computational algebra, an upper bound for the cyclicity of a family of cubic systems is obtained and the problem of nonradicality of the associated Bautin ideal is overcame by moving from the ring of polynomials to a coordinate ring.
(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
2013 journal article
A lifelong model for the female reproductive cycle with an antimullerian hormone treatment to delay menopause
JOURNAL OF THEORETICAL BIOLOGY, 326, 21–35.
author keywords: Menstrual cycle; Primordial follicle; Parameter identification
MeSH headings : Adult; Anti-Mullerian Hormone / administration & dosage; Computer Simulation; Female; Humans; Longevity / physiology; Menopause / drug effects; Menstrual Cycle / drug effects; Menstrual Cycle / physiology; Middle Aged; Models, Biological; Primary Ovarian Insufficiency / prevention & control; Reproduction / physiology; Time Factors; Young Adult
TL;DR:
A system of 16 non-linear, delay differential equations with 66 parameters is developed to model hormonal regulation of the menstrual cycle of a woman from age 20 to 51 and shows that the transfer of non-growing primordial follicles to the active state can be slowed enough to provide more follicles for development later in life and to cause a delay in the onset of menopause.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
5. Gender Equality
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Subresultants in multiple roots
LINEAR ALGEBRA AND ITS APPLICATIONS, 438(5), 1969–1989.
author keywords: subresultants; Sylvester sums; root multiplicity; Hermite interpolation
Sources: Web Of Science, ORCID
Added: August 6, 2018
2013 journal article
Reduction of ionospheric distortions for spaceborne synthetic aperture radar with the help of image registration
Inverse Problems, 29(5), 054005.
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018
2013 journal article
Positivity for Gaussian graphical models
ADVANCES IN APPLIED MATHEMATICS, 50(5), 661–674.
author keywords: Gaussian graphical model; Conditional independence; Determinant; Lindstrom-Gessel-Viennot Lemma
TL;DR:
This work extends trek separation to give explicit cancellation-free formulas for the expansions of non-zero subdeterminants of the Gaussian graphical model.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Polyhedral combinatorics of UPGMA cones
ADVANCES IN APPLIED MATHEMATICS, 50(2), 327–338.
author keywords: Phylogenetic trees; Polyhedral combinatorics; Partition lattice
TL;DR:
This work uses polyhedral combinatorics to analyze the natural subdivision of the positive orthant induced by classifying the input vectors according to tree topologies returned by the algorithm, and gives a closed form for the extreme rays of UPGMA cones on n taxa.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Object-Image Correspondence for Algebraic Curves under Projections
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 9.
author keywords: central and parallel projections; finite and affine cameras; camera decomposition; curves; classifying differential invariants; projective and affine transformations; signatures; machine vision
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2013 journal article
Numerically Computing Real Points on Algebraic Sets
ACTA APPLICANDAE MATHEMATICAE, 125(1), 105–119.
author keywords: Real algebraic geometry; Infinitesimal deformation; Homotopy; Numerical algebraic geometry; Polynomial system
TL;DR:
This article transforms an approach of Rouillier, Roy, and Safey El Din, which is based on a classical optimization approach of Seidenberg, to develop a homotopy based approach for computing at least one point on each connected component of a real algebraic set.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
High order numerical simulation of the transmission and scattering of waves using the method of difference potentials
Journal of Computational Physics, 243, 305–322.
author keywords: Difference potentials; Boundary projections; Calderon's operators; Regular grids; Curvilinear boundaries; Non-conforming boundaries/interfaces; Variable coefficients; Compact differencing; High order accuracy; Exterior problems; Artificial boundary conditions
TL;DR:
The method of difference potentials generalizes the method of Calderon’s operators from PDEs to arbitrary difference equations and systems and solves the scattering of time-harmonic waves about smooth shapes, subject to various boundary conditions.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018
2013 journal article
Granular Free Surfaces
SIAM REVIEW, 55(1), 168–184.
author keywords: free surfaces; friction; mechanics; granular material; differential inclusions; partial differential equations
TL;DR:
The notion of angle of repose for granular materials is explored and the free surface problems for centrifuged granular piles are solved.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
A structured population modeling framework for quantifying and predicting gene expression noise in flow cytometry data
APPLIED MATHEMATICS LETTERS, 26(7), 794–798.
author keywords: Structured population models; Distributed parameters; Gene regulatory networks; Gene expression noise; Synthetic biology
TL;DR:
The results suggest that cellular switching between high and low expression states and transcriptional re-initiation are important factors needed to accurately describe gene expression noise with a structured population model.
(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
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