Works (49)
Updated: April 4th, 2024 07:36
2024 article
Application and reduction of a nonlinear hyperelastic wall model capturing ex vivo relationships between fluid pressure, area, and wall thickness in normal and hypertensive murine left pulmonary arteries
Haider, M. A., Pearce, K. J., Chesler, N. C., Hill, N. A., & Olufsen, M. S. (2024, January 12). INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, Vol. 1.
author keywords: arterial wall; hyperelastic pressure-area relation; hypoxia; identifiability; model reduction; pulmonary hypertension; sensitivity analysis
TL;DR:
A novel approach to formulating a reduced order nonlinear elastic structural wall model for a large pulmonary artery with potential impact on one-dimensional fluids network models of vessel wall remodeling in the presence of cardiovascular disease is introduced.
(via Semantic Scholar)
onlinelibrary.wiley.com (publisher PDF)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 22, 2024
2024 journal article
Local Identifiability Analysis, Parameter Subset Selection and Verification for a Minimal Brain PBPK Model
BULLETIN OF MATHEMATICAL BIOLOGY, 86(2).
author keywords: Parameter subset selection; Local sensitivity analysis; Identifiability; PBPK modeling; Energy statistics
TL;DR:
This work introduces the use of a local sensitivity-based parameter subset selection algorithm in the context of a minimal PBPK (mPBPK) model of the brain for antibody therapeutics to provide a systematic and robust technique to determine identifiable parameter subsets in a PBPK model across a specified time domain of interest.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 3, 2024
2023 journal article
Bulk and mosaic deletions of Egfr reveal regionally defined gliogenesis in the developing mouse forebrain
ISCIENCE, 26(3).
TL;DR:
Subtractive bulk ventral and dorsal forebrain deletions of Egfr uncovered significant and permanent decreases in oligodendrogenesis and myelination in the cortex and corpus callosum, and a regenerative population of gliogenic progenitors in the mouse forebrain may compensate for the missing EGFR-dependent dorsal glia in the bulk Egfr-deleted forebrain.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: June 5, 2023
2022 article
Unsupervised learning methods for efficient geographic clustering and identification of disease disparities with applications to county-level colorectal cancer incidence in California
McMahon, M. E., Doroshenko, L., Roostaei, J., Cho, H., & Haider, M. A. (2022, June 23). HEALTH CARE MANAGEMENT SCIENCE, Vol. 6.
author keywords: Spatial clustering; Self-organizing map; K-Means clustering; Optimization; Colorectal cancer
MeSH headings : Humans; Incidence; Unsupervised Machine Learning; Cluster Analysis; Algorithms; Colorectal Neoplasms / epidemiology
TL;DR:
Techniques presented in this study are relevant to applications including the delivery of health care resources and identifying disparities among identity groups, and to questions involving coordination between county- and state-level policymakers.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: June 23, 2022
2021 journal article
Modeling and Parameter Subset Selection for Fibrin Polymerization Kinetics with Applications to Wound Healing
BULLETIN OF MATHEMATICAL BIOLOGY, 83(5).
author keywords: Wound healing; Fibrin polymerization; Kinetics model; Parameter identifiability; Subset selection
MeSH headings : Animals; Cells, Cultured; Fibrin / metabolism; Humans; Kinetics; Models, Biological; Polymerization; Wound Healing
TL;DR:
The findings demonstrate the high degree of information within a single fibrin accumulation curve, and a tailored model and parameter subset selection approach for improving optimization and reducing model complexity in the context of polymerization experiments.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: March 23, 2021
2020 journal article
Clonal Analysis of Gliogenesis in the Cerebral Cortex Reveals Stochastic Expansion of Glia and Cell Autonomous Responses to Egfr Dosage
Cells, 9(12), 2662.
author keywords: cerebral cortex; clonal analysis; neurogenesis; gliogenesis; Egfr; astrocyte; oligodendrocyte MADM; stochastic; deterministic
MeSH headings : Animals; Astrocytes / cytology; Astrocytes / metabolism; Cell Differentiation; Cell Proliferation; Cerebral Cortex / metabolism; Embryo, Mammalian / cytology; Embryo, Mammalian / metabolism; ErbB Receptors / genetics; ErbB Receptors / metabolism; Mice; Mice, Transgenic; Neurogenesis; Neuroglia / cytology; Neuroglia / metabolism; Stochastic Processes
TL;DR:
This study sets a foundation for studying the biological significance of stochastic and deterministic clonal principles underlying tissue development, and identifying mechanisms that differentiate between neurogenesis and gliogenesis.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: ORCID
Added: December 16, 2020
2019 journal article
A computational reaction–diffusion model for biosynthesis and linking of cartilage extracellular matrix in cell-seeded scaffolds with varying porosity
Biomechanics and Modeling in Mechanobiology, 18(3), 701–716.
author keywords: Scaffold porosity; Tissue-engineered cartilage; Extracellular matrix linking; Reaction-diffusion; Computational model
MeSH headings : Animals; Cartilage / metabolism; Diffusion; Extracellular Matrix / metabolism; Mesenchymal Stem Cells / cytology; Models, Biological; Porosity; Tissue Engineering / methods; Tissue Scaffolds / chemistry
TL;DR:
A computational model of extracellular matrix accumulation in a cell-seeded scaffold based on a continuum reaction–diffusion system with inhomogeneous inclusions representing individual cells is developed that has the potential to aid in the design of optimal tissue-engineered cartilage constructs.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger
(OpenAlex)
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: May 28, 2019
2018 journal article
Characteristic impedance: frequency or time domain approach?
Physiological Measurement, 39(1), 014004.
author keywords: characteristic impedance; blood pressure and flow; pulse wave analysis; impedance analysis; time domain analysis; Fourier methods; large arteries
MeSH headings : Animals; Blood Pressure; Dogs; Electric Impedance; Heart / physiology; Hemodynamics; Humans; Mice; Pulse Wave Analysis; Signal-To-Noise Ratio; Time Factors
TL;DR:
It is shown that the frequency and time domain estimates of Zc are not equally sensitive to certain characteristics of hemodynamic signals including phase lag between pressure and flow, signal to noise ratio and the end of systole retrograde flow.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries, ORCID
Added: August 6, 2018
2018 journal article
Hemodynamic assessment of pulmonary hypertension in mice: a model-based analysis of the disease mechanism
Biomechanics and Modeling in Mechanobiology, 18(1), 219–243.
author keywords: Pulmonary hypertension; 1D fluid dynamics model; Linear and nonlinear wall model; Parameter estimation; Statistical model selection; Wave intensity analysis; Impedance analysis
MeSH headings : Animals; Electric Impedance; Hemodynamics; Hypertension, Pulmonary / diagnostic imaging; Hypertension, Pulmonary / physiopathology; Male; Mice, Inbred C57BL; Models, Biological; Nonlinear Dynamics; Pressure; X-Ray Microtomography
TL;DR:
Results show that pulmonary hypertension is associated with stiffer and less compliant proximal and distal vasculature with augmented wave reflections, and that elastic nonlinearities are insignificant in the hypertensive animal.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries, ORCID
Added: February 25, 2019
2018 journal article
MCMC methods for inference in a mathematical model of pulmonary circulation
Statistica Neerlandica, 72(3), 306–338.
author keywords: constraint non-linear optimization; delayed rejection adaptive metropolis; pulmonary hypertension; parameter inference; partial differential equations; Windkessel model
TL;DR:
This study uses a fluid dynamics network model that takes selected parameter values and mimics the behaviour of the pulmonary haemodynamics under normal physiological and pathological conditions, and introduces an improved parameter scaling technique in the Delayed Rejection Adaptive Metropolis algorithm.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Crossref, NC State University Libraries, ORCID
Added: July 1, 2019
2016 journal article
Wave propagation in a 1D fluid dynamics model using pressure-area measurements from ovine arteries
Journal of Mechanics in Medicine and Biology, 16(02), 1650007.
author keywords: Fluid mechanics; cardiovascular model; viscoelastic; arterial wall; arterial network
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
14. Life Below Water
(OpenAlex)
Sources: Crossref, NC State University Libraries
Added: August 18, 2019
2014 journal article
Evaluation of Diffusive Transport and Cellular Uptake of Nutrients in Tissue Engineered Constructs Using a Hybrid Discrete Mathematical Model
Processes, 2(2), 333–344.
author keywords: reaction-diffusion model; hybrid discrete model; discontinuous Galerkin
TL;DR:
A reaction-diffusion model is developed that quantitatively describes the competing effects of nutrient diffusion and the cellular uptake of nutrients in a closed bioreactor system consisting of a cell-seeded scaffold adjacent to a nutrient-rich bath.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Crossref, NC State University Libraries
Added: July 20, 2019
2014 journal article
Use of hybrid discrete cellular models for identification of macroscopic nutrient loss in reaction-diffusion models of tissues
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 30(8), 767–780.
author keywords: reaction-diffusion model; hybrid discrete model; discontinuous Galerkin; averaging; model identification; mesoscale model
MeSH headings : Diffusion; Finite Element Analysis; Food; Models, Biological; Numerical Analysis, Computer-Assisted; Organ Specificity; Time Factors
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2011 journal article
A phenomenological mixture model for biosynthesis and linking of cartilage extracellular matrix in scaffolds seeded with chondrocytes
Biomechanics and Modeling in Mechanobiology, 10(6), 915–924.
author keywords: Tissue engineering; Articular cartilage; Mathematical model; Degradation
MeSH headings : Cartilage / metabolism; Chondrocytes / metabolism; Extracellular Matrix / metabolism; Models, Biological; Porosity; Tissue Scaffolds / chemistry
TL;DR:
A phenomenological mixture model is presented for interactions between biosynthesis of extracellular matrix (ECM) constituents and ECM linking in a scaffold seeded with chondrocytes and provides an additional quantitative framework for assessing and optimizing the design of engineered cell-scaffold systems and guiding strategies for articular cartilage tissue engineering.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018
2011 journal article
Algebraic Multigrid Preconditioning for Finite Element Solution of Inhomogeneous Elastic Inclusion Problems in Articular Cartilage
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 3(6), 729–744.
author keywords: Biomechanics; interface problem; conjugate gradient method
TL;DR:
Results demonstrate the benefits of algebraic multigrid preconditioners for the iterative solution of assembled linear systems based on finite element modeling of soft elastic inclusion problems and may be particularly advantageous for large scale problems with many nodal unknowns.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2011 journal article
Linear and Nonlinear Viscoelastic Modeling of Aorta and Carotid Pressure-Area Dynamics Under In Vivo and Ex Vivo Conditions
ANNALS OF BIOMEDICAL ENGINEERING, 39(5), 1438–1456.
author keywords: Viscoelasticity; Nonlinear elasticity; Arterial wall properties; Thoracic descending aorta; Carotid artery; Mathematical modeling
MeSH headings : Animals; Aorta; Aorta, Thoracic / physiology; Blood Pressure / physiology; Carotid Arteries / physiology; Elasticity; Female; Humans; Male; Models, Cardiovascular; Sheep
TL;DR:
This study demonstrates that the proposed models can predict pressure–area dynamics and that model parameters can be extracted for further interpretation of biomechanical properties and indicates that optimal model selection depends on the artery type.
(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
2011 journal article
PREDICTING ARTERIAL FLOW AND PRESSURE DYNAMICS USING A 1D FLUID DYNAMICS MODEL WITH A VISCOELASTIC WALL
SIAM JOURNAL ON APPLIED MATHEMATICS, 71(4), 1123–1143.
author keywords: 1D fluid dynamics model; viscoelastic constitutive equation; systemic arteries; finite element analysis
TL;DR:
This paper combines a generalized viscoelastic model with a one-dimensional (1D) fluid dynamics model for the prediction of blood flow, pressure, and vessel area in systemic arteries.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2010 journal article
A fast quadrature-based numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage
Journal of Biomechanics, 43(9), 1835–1839.
author keywords: Collagen; Proteoglycan; Stress relaxation; Discrete spectrum
MeSH headings : Algorithms; Animals; Cartilage, Articular / physiology; Computer Simulation; Elastic Modulus / physiology; Humans; Models, Biological; Numerical Analysis, Computer-Assisted; Porosity; Stress, Mechanical; Viscosity
TL;DR:
A new and efficient method for numerical solution of the continuous spectrum biphasic poroviscoelastic (BPVE) model of articular cartilage that can be reduced to an update rule requiring retention of the strain history at only the previous time step is presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018
2010 journal article
An Axisymmetric Boundary Element Model for Determination of Articular Cartilage Pericellular Matrix Properties In Situ via Inverse Analysis of Chondron Deformation
Journal of Biomechanical Engineering, 132(3), 031011.
author keywords: osteoarthritis; collagen; proteoglycan; aggrecan; numerical model; inverse problem
TL;DR:
An axisymmetric boundary element method (BEM) was developed for linear elastic domains with internal interfaces and suggests an important role for the PCM in modulating the mechanical environment of the chondrocyte.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018
2010 article
Linear and Nonlinear Viscoelastic Modeling of Ovine Aortic Biomechanical Properties under in vivo and ex vivo Conditions
2010 ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY (EMBC), pp. 2634–2637.
MeSH headings : Animals; Aorta, Thoracic / pathology; Biomechanical Phenomena; Blood Pressure; Elasticity; Linear Models; Male; Models, Cardiovascular; Models, Statistical; Models, Theoretical; Nonlinear Dynamics; Sheep, Domestic; Stress, Mechanical; Transducers; Viscosity
TL;DR:
It is concluded that the sigmoid nonlinear viscoelastic model best describes the biomechanical properties of ovine large arteries under both experimental conditions considered in this study.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2010 journal article
Neural Network Analysis Identifies Scaffold Properties Necessary for In Vitro Chondrogenesis in Elastin-like Polypeptide Biopolymer Scaffolds
Tissue Engineering Part A, 16(1), 11–20.
MeSH headings : Animals; Cartilage / physiology; Chondrogenesis / physiology; Elastin / chemistry; Elastin / metabolism; Humans; Hydrogels / chemistry; Neural Networks, Computer; Tissue Engineering / methods
TL;DR:
The utility of artificial neural network tools for recognizing relationships in systems with competing parameters is demonstrated, toward the goal of optimizing and accelerating the design of biomaterial scaffolds for articular cartilage tissue engineering.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018
2009 journal article
A level set reaction-diffusion model for tissue regeneration in a cartilage-hydrogel aggregate
International Journal of Pure and Applied Mathematics, 53, 333–353.
Source: NC State University Libraries
Added: July 28, 2019
2009 journal article
Analysis of Viscoelastic Wall Properties in Ovine Arteries
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 56(2), 210–219.
author keywords: Arterial wall properties; data analysis; mathematical modeling; mechanics; parameter estimation; viscoelasticity
MeSH headings : Algorithms; Animals; Arteries / physiology; Biomechanical Phenomena / physiology; Blood Pressure; Elasticity; Equipment Design; Male; Models, Cardiovascular; Nonlinear Dynamics; Sensitivity and Specificity; Sheep; Signal Processing, Computer-Assisted; Viscosity
TL;DR:
Results reveal that elastic properties in both models vary across locations (smaller arteries are stiffer than larger arteries), and show that for all locations, the inclusion of viscoelastic behavior is important to capture pressure-area dynamics.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2009 chapter
Computational Modeling of Cell Mechanics in Articular Cartilage
In Computational Modeling in Biomechanics (pp. 329–352).
author keywords: Osteoarthritis; Chondron; Collagen; Proteoglycan; Boundary element method; Finite element method; Contact problem
TL;DR:
This chapter describes the development and application of solid-based computational methods for multiphasic continuum models of the cells of articular cartilage (chondrocytes).
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Crossref, NC State University Libraries
Added: July 28, 2019
2009 chapter
Multiphasic models of cell mechanics
In M. R. K. Mofrad & R. D. Kamm (Eds.), Cytoskeletal Mechanics (pp. 84–102).
Ed(s): M. Mofrad & R. Kamm
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Sources: Crossref, NC State University Libraries
Added: July 20, 2019
2009 journal article
Viscoelastic models for passive arterial wall dynamics
Advances in Applied Mathematics & Mechanics, 1(2), 151–165.
Source: NC State University Libraries
Added: August 6, 2018
2008 journal article
Monitored steady-state excitation and recovery (MSSR) radiation force imaging using viscoelastic models
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 55(7), 1597–1610.
MeSH headings : Algorithms; Animals; Computer Simulation; Elastic Modulus; Elasticity Imaging Techniques / instrumentation; Elasticity Imaging Techniques / methods; Image Interpretation, Computer-Assisted / methods; In Vitro Techniques; Models, Biological; Muscle, Skeletal / diagnostic imaging; Muscle, Skeletal / physiology; Phantoms, Imaging; Stress, Mechanical; Swine; Viscosity
TL;DR:
A new radiation force technique is presented that tracks both steady-state displacement during prolonged force application and transient response following force cessation to estimate tissue mechanical properties such as elasticity and viscosity and demonstrates the feasibility of MSSER imaging.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries
Added: July 20, 2019
2008 journal article
The Dynamic Mechanical Environment of the Chondrocyte: A Biphasic Finite Element Model of Cell-Matrix Interactions Under Cyclic Compressive Loading
Journal of Biomechanical Engineering, 130(6), 061009.
author keywords: biomechanics; cellular biophysics; compressibility; finite element analysis
MeSH headings : Animals; Chondrocytes / physiology; Compressive Strength / physiology; Computer Simulation; Elastic Modulus / physiology; Extracellular Matrix / physiology; Finite Element Analysis; Humans; Mechanotransduction, Cellular / physiology; Models, Biological; Physical Stimulation / methods; Porosity; Stress, Mechanical
TL;DR:
The findings of this study demonstrate the complex dependence of dynamic mechanics in the local cellular environment of cartilage on macroscopic loading features and material properties of the ECM and the chondron and the multiscale simulations indicated that strain amplification factors were more significantly altered when loss of matrix stiffness was exclusive to the PCM.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Crossref, NC State University Libraries
Added: July 20, 2019
2007 journal article
Application of a three-dimensional poroelastic BEM to modeling the biphasic mechanics of cell-matrix interactions in articular cartilage
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 196(31-32), 2999–3010.
author keywords: boundary element method; biphasic theory; poroelasticity; articular cartilage; cells
TL;DR:
A three dimensional direct poroelastic BEM, formulated in the Laplace transform domain, is applied to modeling stress relaxation in cartilage, simulated and validated against a theoretical solution.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2006 journal article
A mechano-chemical model for the passive swelling response of an isolated chondron under osmotic loading
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 5(2-3), 160–171.
MeSH headings : Biomechanical Phenomena; Cartilage, Articular / cytology; Cartilage, Articular / physiology; Cell Membrane Permeability / physiology; Chondrocytes / physiology; Collagen Type VI / metabolism; Extracellular Matrix / physiology; Models, Chemical; Osmosis; Solutions; Stress, Mechanical; Water / chemistry
TL;DR:
A theoretical mechano-chemical model is presented for the passive volumetric response of an isolated chondron under osmotic loading in a simple salt solution at equilibrium to aid in determination of pericellular fixed charge density and its relative contribution to PCM mechanical properties.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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.
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
3. Good Health and Well-being
(Web of Science)
16. Peace, Justice and Strong Institutions
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2006 journal article
Diffusional anisotropy in collagenous tissues: Fluorescence imaging of continuous point photobleaching
BIOPHYSICAL JOURNAL, 91(1), 311–316.
MeSH headings : Animals; Anisotropy; Cattle; Collagen / metabolism; Collagen / ultrastructure; Computer Simulation; Connective Tissue / anatomy & histology; Connective Tissue / metabolism; Diffusion; Fluorescence Recovery After Photobleaching / methods; In Vitro Techniques; Microscopy, Fluorescence / methods; Models, Biological
TL;DR:
It is suggested that diffusional transport of macromolecules is anisotropic in collagenous tissues, with higher rates of diffusion along primary orientation of collagen fibers.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2006 article
The pericellular matrix as a transducer of biomechanical and biochemical signals in articular cartilage
SKELETAL DEVELOPMENT AND REMODELING IN HEALTH, DISEASE, AND AGING, Vol. 1068, pp. 498–512.
author keywords: articular cartilage; chondron; chondrocyte; osteoarthritis; collagen; proteoglycan; collagen VI
MeSH headings : Animals; Biomechanical Phenomena; Cartilage, Articular / metabolism; Cartilage, Articular / physiology; Collagen Type VI / physiology; Extracellular Matrix / physiology; Extracellular Space / physiology; Humans; Signal Transduction / physiology
TL;DR:
A number of studies that have investigated the structure, composition, mechanical properties, and biomechanical role of the chondrocyte PCM suggest that changes in the PCM and ECM properties that occur with osteoarthritis may significantly alter the stress‐strain and fluid environments of the dendrocytes.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2005 journal article
Zonal uniformity in mechanical properties of the chondrocyte pericellular matrix: Micropipette aspiration of canine chondrons isolated by cartilage homogenization
ANNALS OF BIOMEDICAL ENGINEERING, 33(10), 1312–1318.
author keywords: cartilage; cell; mechanics; mechanical properties; osteoarthritis; pericellular; collagen; micropipette aspiration; biomechanics; chondron; collagen type VI
MeSH headings : Animals; Cartilage, Articular / physiology; Cells, Cultured; Chondrocytes / physiology; Dogs; Elasticity; Extracellular Matrix / physiology; Hardness; Micromanipulation / methods; Physical Stimulation / methods; Stress, Mechanical; Vacuum
TL;DR:
Findings suggest that the pericellular matrix significantly influences the mechanical environment of the chondrocyte in articular cartilage and therefore may play a role in modulating cellular responses to micromechanical factors.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2004 journal article
A radial biphasic model for local cell-matrix mechanics in articular cartilage
SIAM JOURNAL ON APPLIED MATHEMATICS, 64(5), 1588–1608.
author keywords: articular cartilage; chondrocyte; chondron; pericellular matrix; cartilage mechanics; mechanical signal transduction; biphasic theory; interface problem; eigenvalue problem
TL;DR:
The analytical and numerical solutions are presented for an interface problem that models deformation in the local cell-matrix unit (chondron) of articular cartilage and a parametric analysis of mechanical signal transmission due to an applied sinusoidal displacement.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2004 journal article
Time-reversal simulations for detection in randomly layered media
WAVES IN RANDOM MEDIA, 14(2), 185–198.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2003 journal article
Alterations in the mechanical properties of the human chondrocyte pericellular matrix with osteoarthritis
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 125(3), 323–333.
MeSH headings : Adult; Aged; Cartilage, Articular / physiopathology; Chondrocytes; Computer Simulation; Elasticity; Extracellular Matrix; Humans; In Vitro Techniques; Micromanipulation / methods; Middle Aged; Models, Biological; Physical Stimulation / methods; Reproducibility of Results; Sensitivity and Specificity; Stress, Mechanical
TL;DR:
Findings suggest that the PCM has an important influence on the stress-strain environment of the chondrocyte that potentially varies with depth from the cartilage surface and the significant loss of PCM stiffness that was observed in osteoarthritic cartilage may affect the magnitude and distribution of biomechanical signals perceived by the chONDrocytes.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2002 journal article
An axisymmetric boundary integral model for assessing elastic cell properties in the micropipette aspiration contact problem
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 124(5), 586–595.
author keywords: cartilage; osteoarthritis; cell mechanics; chondrocyte; mechanotransduction
MeSH headings : Cell Adhesion / physiology; Cell Size / physiology; Chondrocytes / cytology; Chondrocytes / physiology; Computer Simulation; Elasticity; Humans; Linear Models; Mechanotransduction, Cellular / physiology; Micromanipulation / methods; Microscopy, Video / methods; Models, Biological; Pressure; Reproducibility of Results; Sensitivity and Specificity; Stress, Mechanical; Suction / instrumentation; Suction / methods; Surface Properties
TL;DR:
The spherical cell model allows for efficient and more realistic simulations of the micropipette aspiration contact problem and quantifies two observable measures of cell response that can facilitate the determination of Young's modulus for various cell populations while, simultaneously, providing a means of evaluating the validity of continuum cell models.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2002 journal article
Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances
SIAM JOURNAL ON APPLIED MATHEMATICS, 62(6), 2129–2148.
author keywords: EM scattering; photonic crystal; photonic bandgap; channel defect; boundary integral; boundary element method; Ewald representation; resonances
TL;DR:
The numerical implementation of a boundary-integral formulation of 2D electromagnetic scattering is refined by exploiting separability in the Green's function to evaluate the far-field influence more efficiently and the resulting cost savings in computing and solving the discretized linear system leads to an accelerated method.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2000 article
An axisymmetric boundary integral model for incompressible linear viscoelasticity: Application to the micropipette aspiration contact problem
Haider, M. A., & Guilak, F. (2000, June). JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, Vol. 122, pp. 236–244.
author keywords: cartilage; osteoarthritis; cell mechanics; chondrocyte; mechanotransduction
MeSH headings : Biomechanical Phenomena; Chondrocytes / physiology; Chondrocytes / ultrastructure; Elasticity; Linear Models; Microscopy, Video; Models, Biological; Numerical Analysis, Computer-Assisted; Predictive Value of Tests; Suction / instrumentation; Viscosity
TL;DR:
An axisymmetric boundary integral formulation of the governing equations of incompressible linear viscoelasticity is presented and used to simulate the micropipette aspiration contact problem and predicts an aspiration length that is less stiff during the initial ramp response but more stiff at equilibrium.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2000 journal article
Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures
SIAM Journal on Applied Mathematics, 60(5), 1686–1706.
TL;DR:
The transmission properties of two-dimensional (2-D) electromagnetic transverse magnetic waves that are normally incident on a Fabry--Perot structure with mirrors consisting of photonic crystals are computed.
(via Semantic Scholar)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
2000 conference paper
Wave propagation in photonic crystal models
In G. Dassios, D. I. Fotiadis, C. V. Massalas, & K. Kiriaki (Eds.), Scattering Theory and Biomedical Engineering Modelling and Applications (pp. 120–134).
Ed(s): G. Dassios, D. Fotiadis, C. Massalas & K. Kiriaki
Event: Proceedings of the 4th International Workshop at Peridika, Greece on October 8-10, 1999
Sources: Crossref, NC State University Libraries
Added: August 18, 2019
1999 journal article
Two-dimensional photonic crystal Fabry-Perot resonators with lossy dielectrics
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 47(11), 2085–2091.
author keywords: dielectric loss; Fabry-Perot resonator; photonic crystal
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1998 chapter
Three dimensional viscoelasticity in finite strain: Formulation of a rate-type constitutive law consistent with dissipation
In D. D. J. D. A. Drew & S. L. Passman (Eds.), Particulate flows: Processing and rheology (The IMA volumes in mathematics and its applications ; v. 98) (pp. 67–88).
Ed(s): D. D. A. Drew & S. Passman
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
1997 journal article
A mathematical approximation for the solution of a static indentation test
JOURNAL OF BIOMECHANICS, 30(7), 747–751.
author keywords: indentation; articular cartilage; joint contact
MeSH headings : Animals; Cartilage, Articular / physiology; Compressive Strength / physiology; Elasticity; Humans; Mathematics; Models, Theoretical; Pressure; Stress, Mechanical; Surface Properties
TL;DR:
Close-form mathematical approximations of the deformation of the indentation of a thin compressible linear elastic layer bonded to a rigid substrate are presented which can also capture the essential singular behavior.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1997 chapter
Analytic approximations to the deformation of a thin compressible elastic layer by a rigid indenter
In G. Oyibo (Ed.), Applied Mathematics: Methods and Applications (pp. 257–288). Nova Science.
Ed(s): G. Oyibo
Source: NC State University Libraries
Added: July 10, 2019
1996 thesis
Analytic Appoximations for the Indentation of a Thin Linear Elastic Layer and a Viscoelastic Formulation in Finite Strain with Applications to the Mechanics of Biological Soft Tissues
(PhD Thesis). Rensselaer Polytechnic Institute, Troy, NY.
Source: NC State University Libraries
Added: July 28, 2019
1996 journal article
Analytic approximations to the deformation of a thin compressible elastic layer by a rigid flat indenter
International Journal of Mathematics, Game Theory and Algebra, 5, 1–32.
Source: NC State University Libraries
Added: July 10, 2019
1995 journal article
Indentation of a thin compressible elastic layer: Approximate analytic and numerical solutions for rigid flat indenters
Journal of the Mechanics and Physics of Solids, 43(8), 1199–1219.
Sources: Crossref, NC State University Libraries
Added: August 18, 2019
Employment
Updated: December 30th, 2023 13:14
2022 - present
North Carolina State University Raleigh, US
Director
Foundations of Data Science Master's Program
1999 - present
North Carolina State University Raleigh, North Carolina, US
Professor
Mathematics
2018 - 2021
Statistical and Applied Mathematical Sciences Institute Durham, North Carolina, US
Associate Director
1996 - 1999
Duke University Durham, North Carolina, US
NSF Mathematical Sciences Postdoctoral Research Fellow
Mathematics
Education
Updated: August 10th, 2020 17:26
1991 - 1996
Rensselaer Polytechnic Institute Troy, New York, US
PhD
Mathematical Sciences
1986 - 1991
University of Waterloo Waterloo, ON, CA
BMath
Applied Mathematics & Computer Science
Funding History
Funding history based on the linked ORCID record. Updated: August 10th, 2020 17:30
grant
September 1, 2020 - August 31, 2021
Statistical and Applied Mathematical Sciences Institute
Directorate for Mathematical & Physical Sciences
grant
September 1, 2017 - August 31, 2020
Statistical and Applied Mathematical Sciences Institute
Directorate for Mathematical & Physical Sciences
grant
August 1, 2016 - July 31, 2020
Remodeling of Pulmonary Cardiovascular Networks in the Presence of Hypertension
Directorate for Mathematical & Physical Sciences
grant
October 1, 2011 - September 30, 2016
Arterial wall viscoelasticity and cardiovascular networks
Directorate for Mathematical & Physical Sciences
grant
July 1, 2007 - June 30, 2013
EMSW21-RTG Mathematics of Materials: Model Development, Analysis, Simulation and Control
Directorate for Mathematical & Physical Sciences
grant
September 1, 2002 - August 31, 2005
Modeling Mechanical Cell-Matrix Interactions in Articular Cartilage
Directorate for Mathematical & Physical Sciences
grant
June 1, 1997 - May 31, 2001
Mathematical Sciences Postdoctoral Research Fellowships
Directorate for Mathematical & Physical Sciences
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