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List of works by George Karniadakis

111 years of Brownian motion

scientific article

A General Shear-Dependent Model for Thrombus Formation

scientific article (publication date: 2017)

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

article published in 2015

A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative

scientific article published in 2018

A bidirectional model for communication in the neurovascular unit

scientific article published on 22 July 2012

A comparative study between dissipative particle dynamics and molecular dynamics for simple- and complex-geometry flows.

scientific article published in September 2005

A comparative study of coarse-graining methods for polymeric fluids: Mori-Zwanzig vs. iterative Boltzmann inversion vs. stochastic parametric optimization

scientific article published in July 2016

A computational mechanics special issue on: data-driven modeling and simulation—theory, methods, and applications

scholarly article

A deep convolutional neural network for classification of red blood cells in sickle cell anemia.

scientific article published on 19 October 2017

A discrete mesoscopic particle model of the mechanics of a multi-constituent arterial wall

scientific article published on January 2016

A dissipative particle dynamics method for arbitrarily complex geometries

A low-dimensional model for the red blood cell

scientific article published on September 2010

A multiscale red blood cell model with accurate mechanics, rheology, and dynamics

scientific article

A new method to impose no-slip boundary conditions in dissipative particle dynamics

A partitioned coupling framework for peridynamics and classical theory: Analysis and simulations

scientific article published in 2018

A reconstruction method for gappy and noisy arterial flow data

scientific article

A robotic Intelligent Towing Tank for learning complex fluid-structure dynamics

scientific article published on 01 November 2019

A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition

scientific article published in 2022

A stochastic modeling methodology based on weighted Wiener chaos and Malliavin calculus

scholarly article

A three-dimensional phase-field model for multiscale modeling of thrombus biomechanics in blood vessels

scientific article published on 28 April 2020

A tunable finite difference method for fractional differential equations with non-smooth solutions

Accelerating dissipative particle dynamics simulations on GPUs: Algorithms, numerics and applications

Accurate coarse-grained modeling of red blood cells

scientific article published on 12 September 2008

Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows

article

An atomistic fingerprint algorithm for learning ab initio molecular force fields

scientific article published in January 2018

An effective fractal-tree closure model for simulating blood flow in large arterial networks

scientific article published on 16 December 2014

An integrated framework for building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City

scientific article published on 08 September 2021

An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains

scientific article

Analyses of internal structures and defects in materials using physics-informed neural networks

scientific article published on 16 February 2022

Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow

scientific article published on 28 March 2016

Analyzing transient turbulence in a stenosed carotid artery by proper orthogonal decomposition

scientific article published on 11 August 2009

Approximation rates of DeepONets for learning operators arising from advection–diffusion equations

scientific article published in 2022

Biomechanics and biorheology of red blood cells in sickle cell anemia

scientific article published on 12 November 2016

Biomechanics of red blood cells in human spleen and consequences for physiology and disease

scientific article published on 27 June 2016

Blood flow and cell-free layer in microvessels

scientific article published on November 2010

Blood flow in small tubes: quantifying the transition to the non-continuum regime

scientific article published on May 2013

Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi

scientific article

Blood-plasma separation in Y-shaped bifurcating microfluidic channels: a dissipative particle dynamics simulation study

scientific article

COARSE-GRAINED MODELING OF PROTEIN UNFOLDING DYNAMICS.

scientific article published on January 2014

Coarse-grained red blood cell model with accurate mechanical properties, rheology and dynamics

scientific article

Coarse-graining limits in open and wall-bounded dissipative particle dynamics systems.

scientific article published in May 2006

Combined simulation and experimental study of large deformation of red blood cells in microfluidic systems.

scientific article

Computational Biomechanics of Human Red Blood Cells in Hematological Disorders

scientific article published on 4 November 2016

Computational biorheology of human blood flow in health and disease

scientific article

Computational investigation of blood cell transport in retinal microaneurysms

scientific article published on 05 January 2022

Computing the non-Markovian coarse-grained interactions derived from the Mori-Zwanzig formalism in molecular systems: Application to polymer melts

scientific article published in January 2017

Concurrent coupling of atomistic simulation and mesoscopic hydrodynamics for flows over soft multi-functional surfaces

scientific article published on 01 February 2019

Construction of dissipative particle dynamics models for complex fluids via the Mori-Zwanzig formulation

scientific article published in November 2014

Construction of non-Markovian coarse-grained models employing the Mori-Zwanzig formalism and iterative Boltzmann inversion.

scientific article published in December 2017

Continuum- and particle-based modeling of shapes and dynamics of red blood cells in health and disease

scientific article

Controlled release of entrapped nanoparticles from thermoresponsive hydrogels with tunable network characteristics

scientific article published on 06 May 2020

Controlling density fluctuations in wall-bounded dissipative particle dynamics systems.

scientific article published on 26 May 2006

Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations

scientific article published in 2022

Correction to: A computational mechanics special issue on: data-driven modeling and simulation—theory, methods, and applications

scholarly article by Wing Kam Liu et al published 28 June 2019 in Computational Mechanics

Cytoskeleton Remodeling Induces Membrane Stiffness and Stability Changes of Maturing Reticulocytes.

scientific article

DIFFERENTIAL CONSTRAINTS FOR THE PROBABILITY DENSITY FUNCTION OF STOCHASTIC SOLUTIONS TO THE WAVE EQUATION

scientific article published in 2012

Data-driven Modeling of Hemodynamics and its Role on Thrombus Size and Shape in Aortic Dissections

scientific article published on 6 February 2018

DeepXDE: A Deep Learning Library for Solving Differential Equations

scientific article published in 2021

Density-dependent finite system-size effects in equilibrium molecular dynamics estimation of shear viscosity: Hydrodynamic and configurational study

scientific article published on 01 September 2019

Direct construction of mesoscopic models from microscopic simulations

scientific article published on 16 February 2010

Dissipative Particle Dynamics, Overview

Dissipative particle dynamics simulation of depletion layer and polymer migration in micro- and nanochannels for dilute polymer solutions.

scientific article published in April 2008

Dissipative particle dynamics simulations of polymer chains: scaling laws and shearing response compared to DNA experiments.

scientific article published on 12 August 2005

Dynamic and rheological properties of soft biological cell suspensions

scientific article published on 03 September 2015

Dynamics of self-assembled chaining in magnetorheological fluids

scientific article published on 01 January 2004

Effect of chain chirality on the self-assembly of sickle hemoglobin

scientific article

Effect of red blood cells on platelet aggregation

scientific article published in March 2009

Effects of thermal noise on the transitional dynamics of an inextensible elastic filament in stagnation flow

scientific article

Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

scientific article published in 2022

Electrostatic correlations near charged planar surfaces

scientific article published on September 2014

Energy-conserving dissipative particle dynamics with temperature-dependent properties

article

Evidence of holes in the Arnold tongues of flow past two oscillating cylinders.

scientific article published on 3 January 2006

Extraction of mechanical properties of materials through deep learning from instrumented indentation

scientific article published on 16 March 2020

Fluctuating hydrodynamics in periodic domains and heterogeneous adjacent multidomains: Thermal equilibrium

scientific article published on 10 November 2015

Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms

scientific article published on 11 July 2016

Fractional-order viscoelasticity in one-dimensional blood flow models

scientific article published on 11 January 2014

G2Φnet: Relating genotype and biomechanical phenotype of tissues with deep learning

scientific article published in 2022

GPU-accelerated Red Blood Cells Simulations with Transport Dissipative Particle Dynamics

scientific article

Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems

scientific article published in 2022

Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

scientific article published on 30 January 2020

How the spleen reshapes and retains young and old red blood cells: A computational investigation

scientific article published on 01 November 2021

Hydrodynamic interactions for single dissipative-particle-dynamics particles and their clusters and filaments.

scientific article published on 22 October 2008

Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions

Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism

scientific article

Inflow/Outflow Boundary Conditions for Particle-Based Blood Flow Simulations: Application to Arterial Bifurcations and Trees

scientific article

Integrating machine learning and multiscale modeling-perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences

scientific article published on 25 November 2019

Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems

scientific article published in 2022

Large-scale dissipative particle dynamics simulations of self-assembled amphiphilic systems

scientific article

Large-scale simulation of the human cranial arterial tree: utility in hydrocephalus

Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements

scientific article published in 2020

Learning in Modal Space: Solving Time-Dependent Stochastic PDEs Using Physics-Informed Neural Networks

scientific article published in 2020

Learning two-phase microstructure evolution using neural operators and autoencoder architectures

scientific article published in 2022

Linking Gaussian process regression with data-driven manifold embeddings for nonlinear data fusion

scientific article published on 19 April 2019

Lipid bilayer and cytoskeletal interactions in a red blood cell

scientific article published on 29 July 2013

Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks

scientific article published on 15 July 2020

MD/DPD Multiscale Framework for Predicting Morphology and Stresses of Red Blood Cells in Health and Disease

scientific article

Many-body dissipative particle dynamics simulation of liquid/vapor and liquid/solid interactions

scientific article

Mechanics of diseased red blood cells in human spleen and consequences for hereditary blood disorders

article published in the Proceedings of the National Academy of Sciences of the United States of America

Mesoscale modeling of phase transition dynamics of thermoresponsive polymers

scientific article published in June 2015

Mesoscopic Adaptive Resolution Scheme toward Understanding of Interactions between Sickle Cell Fibers

scientific article published on July 2017

Model inversion via multi-fidelity Bayesian optimization: a new paradigm for parameter estimation in haemodynamics, and beyond

scientific article

Modeling Electrokinetic Flows by the Smoothed Profile Method

scientific article

Modeling of Biomechanics and Biorheology of Red Blood Cells in Type 2 Diabetes Mellitus

scientific article

Modeling of blood flow in arterial trees ⬇️

scientific article published on September 1, 2010

Molecular hydrodynamics: Vortex formation and sound wave propagation.

scientific article published in January 2018

Moving toward realistic models: Comment on "Modeling thrombosis in silico: Frontiers, challenges, unresolved problems and milestones" by A.V. Belyaev et al

scientific article published on 28 June 2018

Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition

Multiphysics and multiscale modeling of microthrombosis in COVID-19

scientific article published on 07 March 2022

Multiscale Modeling Meets Machine Learning: What Can We Learn?

scientific article published on 18 February 2020

Multiscale Universal Interface: A concurrent framework for coupling heterogeneous solvers ⬇️

Multiscale modeling and simulation of brain blood flow

scientific article published on 8 February 2016

Multiscale modeling of red blood cell mechanics and blood flow in malaria

scientific article

Multiscale modelling of hematologic disorders

Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish

scientific article published on 17 August 2021

Nature of intrinsic uncertainties in equilibrium molecular dynamics estimation of shear viscosity for simple and complex fluids

scientific article published on 01 July 2018

Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms

scientific article published in 2022

Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder

scientific article published on 16 April 2004

Non-Equilibrium Dynamics of Vesicles and Micelles by Self-Assembly of Block Copolymers with Double Thermoresponsivity

article

Non-invasive Inference of Thrombus Material Properties with Physics-Informed Neural Networks

scientific article published on 22 December 2020

Nonlocal Flocking Dynamics: Learning the Fractional Order of PDEs from Particle Simulations

scientific article published in 2019

Omics, big data and machine learning as tools to propel understanding of biological mechanisms and to discover novel diagnostics and therapeutics

scientific article published on 08 August 2018

OpenRBC: A Fast Simulator of Red Blood Cells at Protein Resolution

scientific article published on May 2017

Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations

article

Outflow boundary conditions for arterial networks with multiple outlets.

scientific article published on 9 July 2008

PPINN: Parareal physics-informed neural network for time-dependent PDEs

scientific article published in 2020

Parallel multiscale simulations of a brain aneurysm.

scientific article published on July 2013

Parametric Gaussian process regression for big data

scientific article published on 10 May 2019

Particle flurries: synoptic 3D pulsatile flow visualization.

scientific article published in March 2004

Patient-specific blood rheology in sickle-cell anaemia.

scientific article

Patient-specific modeling of individual sickle cell behavior under transient hypoxia.

scientific article

Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

scientific article published in 2017

Physics-Informed Computer Vision: A Review and Perspectives

scientific article published on 20 August 2024

Physics-informed machine learning ⬇️

journal article from 'Nature Reviews Physics' published in 2021

Physics-informed neural networks for inverse problems in nano-optics and metamaterials

scientific article published on 01 April 2020

Poster: Multiscale simulation of red blood cell tethering in a capillary

Potassium buffering in the neurovascular unit: models and sensitivity analysis

scientific article

Potential Flow Generator With L₂ Optimal Transport Regularity for Generative Models

scientific article published on 20 October 2020

Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells

scientific article

Predicting human blood viscosity in silico

scientific article

Predicting the morphology of sickle red blood cells using coarse-grained models of intracellular aligned hemoglobin polymers

scientific article published on April 2012

Predictive modelling of thrombus formation in diabetic retinal microaneurysms

scientific article published on 26 August 2020

Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model

scientific article

Probing the Twisted Structure of Sickle Hemoglobin Fibers via Particle Simulations

scientific article published on May 2016

Probing vasoocclusion phenomena in sickle cell anemia via mesoscopic simulations

scientific article (publication date: 9 July 2013)

Publisher's Note: "Construction of non-Markovian coarse-grained models employing the Mori-Zwanzig formalism and iterative Boltzmann inversion" [J. Chem. Phys. 147, 244110 (2017)].

scientific article published in January 2018

Quantifying Fibrinogen-Dependent Aggregation of Red Blood Cells in Type 2 Diabetes Mellitus

scientific article published on 07 August 2020

Quantifying Platelet Margination in Diabetic Blood Flow

Quantifying Shear-Induced Deformation and Detachment of Individual Adherent Sickle Red Blood Cells

scientific article published on 18 December 2018

Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness

scientific article published on 03 July 2020

Quantifying the rheological and hemodynamic characteristics of sickle cell anemia

scientific article published on January 2012

Quantitative prediction of erythrocyte sickling for the development of advanced sickle cell therapies

scientific article published on 21 August 2019

Random roughness enhances lift in supersonic flow.

scientific article published on 5 September 2007

Reinforcement learning for bluff body active flow control in experiments and simulations

scientific article published on 05 October 2020

Rheology, microstructure and migration in brownian colloidal suspensions.

scientific article published in January 2010

Runtime visualization of the human arterial tree.

scientific article published in July 2007

Schmidt number effects in dissipative particle dynamics simulation of polymers.

scientific article published in November 2006

Self-Cleaning of Hydrophobic Rough Surfaces by Coalescence-Induced Wetting Transition

scientific article published on 25 January 2019

Shape Transformations of Membrane Vesicles from Amphiphilic Triblock Copolymers: A Dissipative Particle Dynamics Simulation Study

Simulation and modelling of slip flow over surfaces grafted with polymer brushes and glycocalyx fibres

scientific article

Simulation of the human intracranial arterial tree.

scientific article published in June 2009

Simultaneous polymerization and adhesion under hypoxia in sickle cell disease

article published in the Proceedings of the National Academy of Sciences of the United States of America

Steady shear rheometry of dissipative particle dynamics models of polymer fluids in reverse Poiseuille flow

scientific article published on April 2010

Stochastic Computational Fluid Mechanics

scientific article published on 02 March 2007

Sub-cellular modeling of platelet transport in blood flow through microchannels with constriction

scientific article published on 18 April 2016

SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems

scientific article published on 27 August 2020

Systematic coarse-graining of spectrin-level red blood cell models

scientific article published on June 2010

Systematic parameter inference in stochastic mesoscopic modeling ⬇️

Systems biology informed deep learning for inferring parameters and hidden dynamics

scientific article published on 18 November 2020

The in-silico lab-on-a-chip

Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics

scientific article

Transport dissipative particle dynamics model for mesoscopic advection-diffusion-reaction problems

scientific article published in July 2015

Two-Component Dissipative Particle Dynamics Model of Red Blood Cells

Understanding the Twisted Structure of Amyloid Fibrils via Molecular Simulations

scientific article published on 27 August 2018

Variability of computational fluid dynamics solutions for pressure and flow in a giant aneurysm: the ASME 2012 Summer Bioengineering Conference CFD Challenge

scientific article published on February 2013

Velocity limit in DPD simulations of wall-bounded flows

Visualization of blood platelets in a virtual environment

scholarly article published 2004

Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms

scientific article published on 15 December 2015

Wake-body resonance of long flexible structures is dominated by counterclockwise orbits

scientific article published on 23 September 2011

Wall shear stress and pressure distribution on aneurysms and infundibulae in the posterior communicating artery bifurcation

scientific article published on 12 September 2009

Wall shear stress-based model for adhesive dynamics of red blood cells in malaria.

scientific article

Window Proper Orthogonal Decomposition: Application to Continuum and Atomistic Data

article

cDPD: A new dissipative particle dynamics method for modeling electrokinetic phenomena at the mesoscale

scientific article published in October 2016

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