The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
From MaRDI portal
Publication:4594245
DOI10.1017/S0962492917000046zbMath1376.92016OpenAlexW2611710652WikidataQ56995733 ScholiaQ56995733MaRDI QIDQ4594245
Andrea Manzoni, Christian Vergara, Alfio M. Quarteroni
Publication date: 17 November 2017
Published in: Acta Numerica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0962492917000046
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Uses Software
Cites Work
- Coupling 3D and 1D fluid–structure‐interaction models for wave propagation in flexible vessels using a finite volume pressure‐correction scheme
- Spectral Methods for Uncertainty Quantification
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Semi-Implicit Time-Discretization Schemes for the Bidomain Model
- A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics
- Finite Element Methods for Navier-Stokes Equations
- Fiber architecture of the left ventricular wall: An asymptotic analysis
- Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
- A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori
- A three-dimensional fictitious domain method for incompressible fluid flow problems
- Solution of inverse problems in elasticity imaging using the adjoint method
- Block factorized preconditioners for high-order accurate in time approximation of the Navier-Stokes equations
- A finite element method on composite grids based on Nitsche's method
- Velocity-Correction Projection Methods for Incompressible Flows
- Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system
- Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations
- A new method for the nonlinear transformation of means and covariances in filters and estimators
- Mechanoelectric feedback in cardiac cells
- Modelling cardiac mechanical properties in three dimensions
- Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations
- Dynamical systems-based optimal control of incompressible fluids
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- Preconditioning Techniques for the Bidomain Equations
- NONLINEAR DYNAMICAL SYSTEM IDENTIFICATION FROM UNCERTAIN AND INDIRECT MEASUREMENTS
- Flow rate defective boundary conditions in haemodynamics simulations
- Inverse Problem Theory and Methods for Model Parameter Estimation
- Stochastic finite element methods for partial differential equations with random input data
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Perspectives in Flow Control and Optimization
- OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES
- Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations
- A Fresh Look at the Kalman Filter
- Computational Fluid–Structure Interaction
- A Bidomain Model of the Ventricular Specialized Conduction System of the Heart
- Mixed Finite Element Methods and Applications
- Predicting the output from a complex computer code when fast approximations are available
- A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
- Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
- Solvability analysis and numerical approximation of linearized cardiac electromechanics
- Approximation of high-dimensional parametric PDEs
- Bayesian Inverse Problems and Kalman Filters
- Data Assimilation
- Multiscale computational modelling of the heart
- Modelling of fluid–structure interactions with the space–time finite elements: Arterial fluid mechanics
- The Fluid Mechanics of Large Blood Vessels
- Simulation of fluid–structure interaction with the interface artificial compressibility method
- Coupling strategies for biomedical fluid–structure interaction problems
- Effects of flow vortex on a chorded mitral valve in the left ventricle
- A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
- Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
- Data Assimilation
- The ensemble Kalman filter for combined state and parameter estimation
- Shape optimization for viscous flows by reduced basis methods and free‐form deformation
- NUMERICAL STABILITY OF THE FINITE ELEMENT IMMERSED BOUNDARY METHOD
- A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
- Implicit Coupling of One-Dimensional and Three-Dimensional Blood Flow Models with Compliant Vessels
- High-dimensional integration: The quasi-Monte Carlo way
- Blood Flow in End-to-Side Anastomoses
- Simulation of Electrophysiological Waves with an Unstructured Finite Element Method
- High-Order Collocation Methods for Differential Equations with Random Inputs
- Optimization in Cardiovascular Modeling
- Reduced Basis Methods for Partial Differential Equations
- Numerical Solution of the Navier-Stokes Equations
- ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
- Parameter identification for a one-dimensional blood flow model
- Progress Toward using MRI and a Heart Model to Estimate Patient-Specific Indices of Cardiac Function
- Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs
- Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
- Accurate Solution of Bayesian Inverse Uncertainty Quantification Problems Combining Reduced Basis Methods and Reduction Error Models
- Cardiac Electromechanics: The Effect of Contraction Model on the Mathematical Problem and Accuracy of the Numerical Scheme
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Data Assimilation
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
- Direct methods in the calculus of variations
- Multiscale modelling of the circulatory system: a preliminary analysis
- Large eddy simulation and the variational multiscale method
- Partitioned procedures for the transient solution of coupled aeroelastic problems. II: Energy transfer analysis and three-dimensional applications
- Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
- Transitional flows in arterial fluid dynamics
- Simulation of high-Reynolds number vascular flows
- Modeling cardiac mechano-electrical feedback using reaction-diffusion-mechanics systems
- Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
- Geometric multiscale modeling of the cardiovascular system, between theory and practice
- On boundary stimulation and optimal boundary control of the bidomain equations
- Fluid-structure interaction and biomedical applications
- Mathematical cardiac electrophysiology
- Modeling the heart and the circulatory system
- ALADINS: an ALgebraic splitting time ADaptive solver for the Incompressible Navier-Stokes equations
- A polyconvex framework for soft biological tissues. Adjustment to experimental data
- Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network
- On the possibility for computing the transmembrane potential in the heart with a one shot method: an inverse problem
- Algebraic fractional-step schemes with spectral methods for the incompressible Navier--Stokes equations
- Added-mass effect in the design of partitioned algorithms for fluid--structure problems
- Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Flow patterns around heart valves: A numerical method
- A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
- On the one-dimensional theory of blood flow in the larger vessels
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
- Newton-Krylov-BDDC solvers for nonlinear cardiac mechanics
- Sparse-grid, reduced-basis Bayesian inversion
- Impact of geometric uncertainty on hemodynamic simulations using machine learning
- Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect
- Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem
- Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling
- Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
- A numerical method for the solution of the bidomain equations in cardiac tissue
- Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model
- Time optimal control of the monodomain model in cardiac electrophysiology
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Multiphysics Computational Modeling in $\boldsymbol{\mathcal{C}}\mathbf{Heart}$
- Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
- Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
- Ensemble Kalman methods for inverse problems
- An Introduction to Statistical Computing
- Inverse problems: A Bayesian perspective
- The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations
- Modelling pipeline for subject-specific arterial blood flow-A review
- A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems
- Well-posedness and accuracy of the ensemble Kalman filter in discrete and continuous time
- Multilevel Monte Carlo Methods
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Introduction to Uncertainty Quantification
- Data Assimilation in Cardiovascular Fluid–Structure Interaction Problems: An Introduction
- Classical and all-floating FETI methods for the simulation of arterial tissues
- Data-driven model reduction for the Bayesian solution of inverse problems
- CutFEM: Discretizing geometry and partial differential equations
- A locally anisotropic fluid-structure interaction remeshing strategy for thin structures with application to a hinged rigid leaflet
- A reduced basis Kalman filter for parametrized partial differential equations
- Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction
- Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
- Truly monolithic algebraic multigrid for fluid-structure interaction
- Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach
- Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems
- Nitsche’s method for general boundary conditions
- Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
- Application of a locally conservative Galerkin (LCG) method for modelling blood flow through a patient-specific carotid bifurcation
- Optimal Solvers for PDE-Constrained Optimization
- Fluid-solid coupling for the investigation of diastolic and systolic human left ventricular function
- Partitioned Analysis for Dimensionally-Heterogeneous Hydraulic Networks
- A Variational Approach for Estimating the Compliance of the Cardiovascular Tissue: An Inverse Fluid-Structure Interaction Problem
- Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics
- Numerical simulation of the haemodynamics in end-to-side anastomoses
- Computational Optimization of Systems Governed by Partial Differential Equations
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- A Finite Element Method for an Eikonal Equation Model of Myocardial Excitation Wavefront Propagation
- Accurate Uncertainty Quantification Using Inaccurate Computational Models
- A Scalable Newton–Krylov–Schwarz Method for the Bidomain Reaction-Diffusion System
- IMMERSED BOUNDARY METHODS
- An order optimal solver for the discretized bidomain equations
- A fully implicit parallel algorithm for simulating the non‐linear electrical activity of the heart
- Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow
- The immersed boundary method
- Shape reconstruction from medical images and quality mesh generation via implicit surfaces
- Numerical solution of saddle point problems
- Estimation of cardiac conductivities in ventricular tissue by a variational approach
- On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
- Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals
- Optimization with PDE Constraints
- Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions
- Effect of the prosthetic mitral valve on vortex dynamics and turbulence of the left ventricular flow
- Constitutive modelling of passive myocardium: a structurally based framework for material characterization
- Constitutive modelling of arteries
- An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
- Towards a comprehensive computational model for the respiratory system
- A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
- Transversely isotropic membrane shells with application to mitral valve mechanics. Constitutive modelling and finite element implementation
- Filtering for distributed mechanical systems using position measurements: perspectives in medical imaging
- An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
- Approximation of Large-Scale Dynamical Systems
- A new constitutive framework for arterial wall mechanics and a comparative study of material models
- On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
- Coupling between lumped and distributed models for blood flow problems.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical methods for fluid-structure interaction models of aortic valves
- Generalized fictitious methods for fluid-structure interactions: analysis and simulations
- On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems
- An analysis of a new stable partitioned algorithm for FSI problems. I: Incompressible flow and elastic solids
- Optimal control approach to termination of re-entry waves in cardiac electrophysiology
- On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies
- Reduced order methods for modeling and computational reduction
- Fluid-structure interaction of an aortic heart valve prosthesis driven by an animated anatomic left ventricle
- On the physical consistency between three-dimensional and one-dimensional models in haemodynamics
- Preconditioning the bidomain model with almost linear complexity
- Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation
- Analysis and optimization of the generalized Schwarz method for elliptic problems with application to fluid-structure interaction
- Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology
- Nitsche's method for defective boundary value problems in incompressibile fluid-dynamics
- Flow rate boundary problems for an incompressible fluid in deformable domains: formulations and solution methods
- Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems
- On the similarity between Dirichlet-Neumann with interface artificial compressibility and Robin-Neumann schemes for the solution of fluid-structure interaction problems
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
- Numerical approximation of incompressible flows with net flux defective boundary conditions by means of penalty techniques
- Multi-solver algorithms for the partitioned simulation of fluid-structure interaction
- Optimal control for quasi-Newtonian flows with defective boundary conditions
- Brain venous haemodynamics, neurological diseases and mathematical modelling. A review
- A two-level time step technique for the partitioned solution of one-dimensional arterial networks
- Computational model of three-dimensional cardiac electromechanics
- Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics
- Identification of weakly coupled multiphysics problems. application to the inverse problem of electrocardiography
- An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology
- A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network
- Unilateral problems in nonlinear three-dimensional elasticity
- Wavefront propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations
- Fixed-point fluid-structure interaction solvers with dynamic relaxation
- Joint state and parameter estimation for distributed mechanical systems
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem
- An adaptive, formally second order accurate version of the immersed boundary method
- Reduced order model in cardiac electrophysiology with approximated Lax pairs
- Analysis and approximation of the Cross model for quasi-Newtonian flows with defective boundary conditions
- Fluid-structure partitioned procedures based on Robin transmission conditions
- Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation
- A computational framework for derivative-free optimization of cardiovascular geometries
- A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
- Fluid-structure algorithms based on Steklov-Poincaré operators
- Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
- On the hyperelastic formulation of the immersed boundary method
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- The role of continuity in residual-based variational multiscale modeling of turbulence
- A model-based block-triangular preconditioner for the bidomain system in electrocardiology
- An approximate method for solving incompressible Navier-Stokes problems with flow rate conditions
- A unified variational approach for coupling 3D-1D models and its blood flow applications
- Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
- Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
- Fluid-structure interaction and multi-body contact: application to aortic valves
- Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data
- Regularization of the inverse problem in electrocardiography: A model study
- Boundary conditions for incompressible flows
- Teoremi di tipo locale per il sistema di Navier-Stokes e stabilita delle soluzioni stazionarie
- An eikonal-curvature equation for action potential propagation in myocardium
- High-order splitting methods for the incompressible Navier-Stokes equations
- Convexity conditions and existence theorems in nonlinear elasticity
- On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
- Efficient solvers for incompressible flow problems. An algorithmic and computational approach
- Analysis of the Yosida method for the incompressible Navier-Stokes equations
- On the existence of strong solutions to a coupled fluid-structure evolution problem
- An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems.
- One-dimensional modelling of a vascular network in space-time variables
- One-dimensional models for blood flow in arteries
- Computational vascular fluid dynamics: problems, models and methods
- Factorization methods for the numerical approximation of Navier-Stokes equations
- Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process
- Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations
- Image-based large-eddy simulation in a realistic left heart
- Semi-implicit BDF time discretization of the Navier-Stokes equations with VMS-LES modeling in a high performance computing framework
- An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes
- Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics
- Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics
- Statistical and computational inverse problems.
- An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso
- Minimal model for human ventricular action potentials in tissue
- Estimation techniques for distributed parameter systems
- Spreading of excitation in 3-D models of the anisotropic cardiac tissues. I: Validation of the eikonal model
- Finite element modeling of blood in arteries
- An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
- Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A variational data assimilation procedure for the incompressible Navier-Stokes equations in hemodynamics
- The respiratory system in equations
- Prescription of general defective boundary conditions in fluid-dynamics
- Partitioned algorithms for fluid-structure interaction problems in haemodynamics
- Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: a model study
- Active stress vs. active strain in mechanobiology: constitutive issues
- Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis
- Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics
- Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function
- On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems
- Computational modeling of cardiac hemodynamics: current status and future outlook
- Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization
- An overview of projection methods for incompressible flows
- A nonconforming finite element method for fluid-structure interaction problems
