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Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

Bulletin of mathematical biology, 2021-07, Vol.83 (7), p.80-80, Article 80

2021

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A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis

Journal of mathematical biology, 2018-01, Vol.76 (1-2), p.429-456

2018

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Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

Bulletin of mathematical biology, 2024-01, Vol.86 (1), p.4-4, Article 4

2024

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Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation

Journal of mathematical biology, 2011-07, Vol.63 (1), p.141-171

2011

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Spatial distribution of tissue level properties in a human femoral cortical bone

Journal of biomechanics, 2012-08, Vol.45 (13), p.2264-2270

2012

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Robustness of a new molecular dynamics-finite element coupling approach for soft matter systems analyzed by uncertainty quantification

The Journal of chemical physics, 2015-03, Vol.142 (10), p.104105-104105

2015

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Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications

1st ed. 2017., 2018

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The asymptotic homogenization elasticity tensor properties for composites with material discontinuities

Continuum mechanics and thermodynamics, 2017, Vol.29 (1), p.187-206

2017

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Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study

Computing and visualization in science, 2015-08, Vol.17 (4), p.185-201

2015

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Physics informed neural networks: A case study for gas transport problems

Journal of computational physics, 2023-05, Vol.481, p.112041, Article 112041

2023

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A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis

Journal of theoretical biology, 2022-02, Vol.534, p.110963-110963, Article 110963

2022

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Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns

Journal of theoretical biology, 2014-11, Vol.361, p.41-60

2014

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Mathematical modeling of fracture healing in mice: comparison between experimental data and numerical simulation results

Medical & biological engineering & computing, 2006-04, Vol.44 (4), p.280-289

2006

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Structured models of cell migration incorporating molecular binding processes

Journal of mathematical biology, 2017-12, Vol.75 (6-7), p.1517-1561

2017

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Space–time adaptive linearly implicit peer methods for parabolic problems

Journal of computational and applied mathematics, 2017-05, Vol.316, p.330-344

2017

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Uncertainty Quantification Guided Parameter Selection in a Fully Coupled Molecular Dynamics-Finite Element Model of the Mechanical Behavior of Polymers

Journal of chemical theory and computation, 2021-06, Vol.17 (6), p.3760-3771

2021

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Angiogenesis in bone fracture healing: A bioregulatory model

Journal of theoretical biology, 2008-03, Vol.251 (1), p.137-158

2008

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A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties

Biomechanics and modeling in mechanobiology, 2011-12, Vol.10 (6), p.925-937

2011

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A hybrid bioregulatory model of angiogenesis during bone fracture healing

Biomechanics and modeling in mechanobiology, 2011-06, Vol.10 (3), p.383-395

2011

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An Introduction to Asymptotic Homogenization

Multiscale Models in Mechano and Tumor Biology, 2017, Vol.122, p.1-26

2017

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To what extent can cortical bone millimeter-scale elasticity be predicted by a two-phase composite model with variable porosity?

Acta biomaterialia, 2015, Vol.12 (15), p.207-215

2015

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Multiscale elastic imaging & modeling of musculoskeletal tissues

The Journal of the Acoustical Society of America, 2012-04, Vol.131 (4_Supplement), p.3426-3426

2012

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On the elastic properties of mineralized turkey leg tendon tissue: multiscale model and experiment

Biomechanics and modeling in mechanobiology, 2014-10, Vol.13 (5), p.1003-1023

2014

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Multiscale structure-functional modeling of lamellar bone

Journal of the Acoustical Society of America, 2010-03, Vol.127 (3), p.2033-2033

2010

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Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering

Acta biotheoretica, 2010-12, Vol.58 (4), p.355-367

2010

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Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis

Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis

Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation

Spatial distribution of tissue level properties in a human femoral cortical bone

Robustness of a new molecular dynamics-finite element coupling approach for soft matter systems analyzed by uncertainty quantification

Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications

The asymptotic homogenization elasticity tensor properties for composites with material discontinuities

Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study

Physics informed neural networks: A case study for gas transport problems

A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis

Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns

Mathematical modeling of fracture healing in mice: comparison between experimental data and numerical simulation results

Structured models of cell migration incorporating molecular binding processes

Space–time adaptive linearly implicit peer methods for parabolic problems

Uncertainty Quantification Guided Parameter Selection in a Fully Coupled Molecular Dynamics-Finite Element Model of the Mechanical Behavior of Polymers

Angiogenesis in bone fracture healing: A bioregulatory model

A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties

A hybrid bioregulatory model of angiogenesis during bone fracture healing

An Introduction to Asymptotic Homogenization

To what extent can cortical bone millimeter-scale elasticity be predicted by a two-phase composite model with variable porosity?

Multiscale elastic imaging & modeling of musculoskeletal tissues

On the elastic properties of mineralized turkey leg tendon tissue: multiscale model and experiment

Multiscale structure-functional modeling of lamellar bone

Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering

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