Updated: August 1st, 2024 05:01

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)

Sources: Web Of Science, NC State University Libraries, ORCID

Added: January 22, 2024

2024 journal article

Bridging Continuous and Lattice-Based Models of Two-Dimensional Diffusion: A Systematic Approach for Estimating Transition Probabilities, Grid Size and Diffusivity

*APPLIED SCIENCES-BASEL*, *14*(13).

Sources: ORCID, Web Of Science, NC State University Libraries

Added: July 1, 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).

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, Crossref

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.

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 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

2001 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

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.

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

Updated: December 30th, 2023 13:14

2022 - present

1999 - present

2018 - 2021

1996 - 1999

Updated: August 10th, 2020 17:26

1991 - 1996

1986 - 1991

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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