☆ 3.8 Review

Current progress toward isogeometric modeling of the heart biophysics

BIOPHYSICS REVIEWS (2023)

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A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart

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Summary: We have developed a mathematical and numerical model that simulates the various processes involved in heart function, including electrophysiology, mechanics, and hemodynamics. The model also considers the interactions between the different processes, such as electro-mechanical and mechano-electrical feedback. By using a coupled fluid-structure interaction approach, we are able to represent the three-dimensional nature of the heart muscle and hemodynamics. The model has been validated using a realistic human left heart model and shows qualitative and quantitative agreement with physiological ranges and medical images.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING (2023)

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Modeling large-volume subcutaneous injection of monoclonal antibodies with anisotropic porohyperelastic models and data-driven tissue layer

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Summary: Subcutaneous injection of therapeutic monoclonal antibodies (mAbs) is a rapidly growing field in the pharmaceutical industry. This study presents a large-deformation poroelastic model to understand high-dose, high-speed subcutaneous injection. The anisotropy of subcutaneous tissue and the multi-layer structure of the skin tissue are considered. The impact of handheld autoinjectors on injection dynamics for different patient forces is analyzed. The simulations highlight the importance of the large deformation approach in modeling large injection volumes and provide insights into the mechanics and transport processes in subcutaneous injections of mAbs.

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A comprehensive and biophysically detailed computational model of the whole human heart electromechanics

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Summary: This paper presents a biophysically detailed electromechanical model of the whole human heart, considering both atrial and ventricular contraction, as well as the bioelectromechanical interaction within the heart. The model is able to reproduce the healthy cardiac function for all chambers and demonstrates the importance of atrial contraction, fibers-stretch-rate feedback, and stabilization techniques.

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Isogeometric mixed collocation of nearly-incompressible electromechanics in finite deformations for cardiac muscle simulations

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Summary: We extend the application of isogeometric collocation to coupled cardiac electromechanical problems. A staggered solution scheme is developed to reduce computational effort and ensure high accuracy for all field variables. The focus is on the coupling strategy, the handling of different meshes, and the mitigation of volumetric locking. Numerical tests demonstrate the expected convergence rates and the effectiveness of the proposed solution scheme for electromechanics.

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Divergence-conforming isogeometric collocation methods for the incompressible Navier–Stokes equations

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GPU accelerated digital twins of the human heart open new routes for cardiovascular research

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Summary: This paper presents a cardiovascular computer model that utilizes GPU-acceleration technologies to replicate the dynamics of the human heart. The results closely match those obtained in clinical practice, confirming the reliability of the method. This innovative approach reduces the need for real patients in cardiovascular research.

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Immersed isogeometric analysis based on a hybrid collocation/finite cell method

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FSEI-GPU: GPU accelerated simulations of the fluid-structure-electrophysiology interaction in the left heart

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Numerical investigation of turbulent features past different mechanical aortic valves

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Effects of membrane and flexural stiffnesses on aortic valve dynamics: Identifying the mechanics of leaflet flutter in thinner biological tissues

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Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr

David Kamensky

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Computational investigation of left ventricular hemodynamics following bioprosthetic aortic and mitral valve replacement

Fei Xu et al.

Summary: This study utilizes computational fluid-structure interaction to model the effects of replacing the aortic and mitral valves in the left ventricle, showing that replacing the mitral valve with a bioprosthesis significantly alters ventricular hemodynamics, causing a reverse vortical motion. The research demonstrates the capability of the proposed computational FSI framework in simulating complex multiphysics problems and providing a detailed understanding of cardiac mechanics.

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Additive manufacturing applications of phase‐field‐based topology optimization using adaptive isogeometric analysis

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Isogeometric analysis of subcutaneous injection of monoclonal antibodies

Mario de Lucio et al.

Summary: Subcutaneous injection for self-administration of biotherapeutics, such as monoclonal antibodies, has become a rapidly growing field in the pharmaceutical industry. Computational studies on subcutaneous injection into three-dimensional porous media that account for tissue deformability are limited. Consideration of tissue deformation and permeability changes is crucial for obtaining realistic results in terms of fluid pressure and velocity during and after injection.

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Isogeometric finite element-based simulation of the aortic heart valve: Integration of neural network structural material model and structural tensor fiber architecture representations

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Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Parameterization, geometric modeling, and isogeometric analysis of tricuspid valves

Emily L. Johnson et al.

Summary: Tricuspid valve regurgitation affects approximately 1.6 million patients in the United States, but research attention on the tricuspid valve remains limited compared to other heart valves. This study establishes a parameter-based approach for modeling and simulating the tricuspid valve, providing insights into valve performance and effectiveness. The proposed methods lay a foundation for future investigations of native valve configurations and optimization of prosthetic valve designs.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Article Computer Science, Interdisciplinary Applications

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Hugo Casquero et al.

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Review Biophysics

Precision medicine in human heart modeling Perspectives, challenges, and opportunities

M. Peirlinck et al.

Summary: Precision medicine is a new approach in healthcare that customizes medical treatment based on each individual's genes, anatomy, physiology, and lifestyle. In the field of cardiovascular health, precision medicine shows promise in improving quality of life and reducing mortality rates. The role of human heart modeling in precision medicine is still being explored, but personalized models can be created using machine learning and population-based libraries, rather than requiring fully personalized high-resolution whole heart models.

BIOMECHANICS AND MODELING IN MECHANOBIOLOGY (2021)

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Article Engineering, Biomedical

Simulating the time evolving geometry, mechanical properties, and fibrous structure of bioprosthetic heart valve leaflets under cyclic loading

Will Zhang et al.

Summary: The most common replacement heart valve design currently is the 'bioprosthetic' heart valve (BHV), which has advantages such as no need for permanent anti-coagulation therapy and quiet operation. However, the thinner TAVR leaflets may have decreased durability due to increased mechanical demands. Computational predictive simulations have the potential to improve the TAVR development process.

JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS (2021)

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Article Engineering, Multidisciplinary

Multipatch Isogeometric Analysis for electrophysiology: Simulation in a human heart

Michele Bucelli et al.

Summary: In this study, multipatch NURBS-based Isogeometric Analysis was applied for the space discretization of the Monodomain model in cardiac electrophysiology. IGA, a technique for solving PDEs, was utilized to accurately represent the computational geometry using high-order basis functions. The use of multiple patches allowed for increased flexibility in the design of the computational domain, particularly in complex bioengineering applications.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Article Biochemical Research Methods

Linking statistical shape models and simulated function in the healthy adult human heart

Cristobal Rodero et al.

Summary: This study investigates the impact of changes in cardiac anatomy on cardiac function, revealing that even shape components explaining a large amount of electromechanical function variance only explain a small amount of anatomical variance. This highlights the importance of high-fidelity anatomical models in cardiac simulations and demonstrates that subtle changes in cardiac anatomy can have a significant impact on function.

PLOS COMPUTATIONAL BIOLOGY (2021)

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Article Biochemical Research Methods

CRIMSON: An open-source software framework for cardiovascular integrated modelling and simulation

Christopher J. Arthurs et al.

Summary: CRIMSON is a powerful software environment for computational haemodynamics studies, providing tools for segmenting vascular structures, generating geometric models, performing fluid flow simulations, and visualizing results. It aims to make advanced computational tools accessible to a wide audience and has been used by researchers worldwide for various clinical problems.

PLOS COMPUTATIONAL BIOLOGY (2021)

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Immersed boundary-conformal isogeometric method for linear elliptic problems

Xiaodong Wei et al.

Summary: The Immersed Boundary-Conformal Method (IBCM) combines the geometric flexibility of the immersed boundary method with the advantages of a conformal discretization. By solving benchmark problems and complex geometries, the IBCM demonstrates improved accuracy and expected convergence.

COMPUTATIONAL MECHANICS (2021)

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A curvilinear isogeometric framework for the electromechanical activation of thin muscular tissues

Alessandro Nitti et al.

Summary: This study introduces an isogeometric approximation method for modeling the propagation of electrophysiological stimuli in cardiac tissue and subsequent muscle contraction. By solving reaction-diffusion equations on a three-dimensional surface and utilizing high-order NURBS basis functions, complex excitation patterns can be reproduced with limited degrees of freedom. The method also offers a flexible and easy-to-implement approach for general surfaces.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements

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Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical method

Alberto Zingaro et al.

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Isogeometric Collocation: A Mixed Displacement-Pressure Method for Nearly Incompressible Elasticity

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Ventricle-valve-aorta flow analysis with the Space-Time Isogeometric Discretization and Topology Change

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Fluid-Structure-Electrophysiology interaction (FSEI) in the left-heart: A multi-way coupled computational model

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Hierarchically refined isogeometric analysis of trimmed shells

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An immersed-boundary/isogeometric method for fluid-structure interaction involving thin shells

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Efficient extraction of hierarchical B-Splines for local refinement and coarsening of Isogeometric Analysis

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An isogeometric Reissner-Mindlin shell element based on Bezier dual basis functions: Overcoming locking and improved coarse mesh accuracy

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Mesh refinement influence and cardiac-cycle flow periodicity in aorta flow analysis with isogeometric discretization

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Isogeometric Analysis of the electrophysiology in the human heart: Numerical simulation of the bidomain equations on the atria

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A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric collocation approach

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Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

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Multi-level Bezier extraction for hierarchical local refinement of Isogeometric Analysis

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A contact formulation based on a volumetric potential: Application to isogeometric simulations of atrioventricular valves

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A framework for designing patient-specific bioprosthetic heart valves using immersogeometric fluid-structure interaction analysis

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Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid-thin structure interaction analysis, with application to heart valve modeling

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Isogeometric collocation for the Reissner-Mindlin shell problem

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A patient-specific aortic valve model based on moving resistive immersed implicit surfaces

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Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature

Enzo Marino

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Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth

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Fast formation of isogeometric Galerkin matrices by weighted quadrature

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)

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Isogeometric approximation of cardiac electrophysiology models on surfaces: An accuracy study with application to the human left atrium

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)

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FDA Benchmark Medical Device Flow Models for CFD Validation

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Computational aspects of morphological instabilities using isogeometric analysis

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)

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Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)

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Integrated Heart-Coupling multiscale and multiphysics models for the simulation of the cardiac function

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2014)

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