Fluid–Structure Interaction Analyses of Biological Systems Using Smoothed-Particle Hydrodynamics

Toma, Milan; Chan-Akeley, Rosalyn; Arias, Jonathan; Kurgansky, Gregory; Mao, Wenbin

doi:10.3390/biology10030185

Cited by 16 publications

(7 citation statements)

References 77 publications

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“…This indicates that the inter-particle average velocity and pressure in Eqs. (18) and (19) are simply replaced by the solution of the Riemann problem. A linearised Riemann solver for smooth flows or with only moderately strong shocks can be written as [75] U U U P P c…”

Section: Technical Methods For Fluidmentioning

confidence: 99%

“…Here, we divide complex biological systems into three categories: fluid, solid, and other problems. Toma et al [18] reviewed the application of the SPH method to FSI problems and reviewed its applicability in use. Zhang et al [19] summarized the research work on the simulation and modeling of biological systems such as soft matter, cells, and biological soft and hard tissues and organs.…”

Section: Introductionmentioning

confidence: 99%

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On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

Wang

Yang

et al. 2023

Acta Mech. Sin.

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Smoothed particle hydrodynamics (SPH), as one of the earliest meshfree methods, has broad prospects in modeling a wide range of problems in engineering and science, including extremely large deformation problems such as explosion and high velocity impact. This paper aims to provide a comprehensive overview on the recent advances of SPH method in the fields of fluid, solid, and biomechanics. First, the theory of SPH is described, and improved algorithms of SPH with high accuracy are summarized, such as the finite particle method (FPM). Techniques used in SPH method for simulating fluid, solid and biomechanics problems are discussed. The δ -SPH method and Godunov SPH (GSPH) based on the Riemann model are described for handling instability issues in fluid dynamics. Next, the interface contact algorithm for fluid-structure interaction is also discussed. The common algorithms for improving the tensile instability and the framework of total Lagrangian SPH are examined for challenging tasks in solid mechanics. In terms of biomechanics, the governing equations and the coupling forces based on SPH method are exemplified. Then, various typical engineering applications and recent advances are elaborated. The application of fluid mainly depicts the interaction between fluid and rigid body as well as elastomer, while some complicated fluid-structure interaction ocean engineering problems are also presented. In the aspect of solid dynamics, galaxy, geotechnical mechanics, explosion and impact, and additive manufacturing are summarized. Furthermore, the recent advancements of SPH method in biomechanics, such as hemodynamically and gut health, are discussed in general. In addition, to overcome the limitations of computational efficiency and computational scale, the multiscale adaptive resolution, the parallel algorithm and the automated mesh generation are addressed. The development of SPH software in China and abroad is also summarized. Finally, the challenging task of SPH method in the future is summarized. In future research work, the establishment of multi-scale coupled SPH model and deep learning technology in solid and biodynamics will be the focus of expanding the engineering applications of SPH methods.

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Section: Technical Methods For Fluidmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

Wang

Yang

et al. 2023

Acta Mech. Sin.

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“…Although not yet fully integrated with the models for ablation therapies, the cardiac fluid dynamics models have been an area of active research from theoretical, numerical, and experimental perspectives [35][36][37]. Likewise, FSI problems have received significant attention of the research community [38][39][40][41][42][43][44][45][46]. In our present context, it should be noted that while the research in cardiovascular modeling also covers cardiac electro-mechanical coupling, specifics of ablation problems require new models and new approaches for their solution.…”

Section: Methodsmentioning

confidence: 99%

Fluid–Structure Interaction and Non-Fourier Effects in Coupled Electro-Thermo-Mechanical Models for Cardiac Ablation

Singh

Melnik

2021

Fluids

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In this study, a fully coupled electro-thermo-mechanical model of radiofrequency (RF)-assisted cardiac ablation has been developed, incorporating fluid–structure interaction, thermal relaxation time effects and porous media approach. A non-Fourier based bio-heat transfer model has been used for predicting the temperature distribution and ablation zone during the cardiac ablation. The blood has been modeled as a Newtonian fluid and the velocity fields are obtained utilizing the Navier–Stokes equations. The thermal stresses induced due to the heating of the cardiac tissue have also been accounted. Parametric studies have been conducted to investigate the effect of cardiac tissue porosity, thermal relaxation time effects, electrode insertion depths and orientations on the treatment outcomes of the cardiac ablation. The results are presented in terms of predicted temperature distributions and ablation volumes for different cases of interest utilizing a finite element based COMSOL Multiphysics software. It has been found that electrode insertion depth and orientation has a significant effect on the treatment outcomes of cardiac ablation. Further, porosity of cardiac tissue also plays an important role in the prediction of temperature distribution and ablation volume during RF-assisted cardiac ablation. Moreover, thermal relaxation times only affect the treatment outcomes for shorter treatment times of less than 30 s.

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“…As an alternative, the meshless, fully Lagrangian smoothed particle hydrodynamics (SPH) [8,9] method has shown peculiar advantages in handling multiphysics problems [10,11] thanks to its very feature of representing each subsystem by an ensemble of particles. Since its original inception by Lucy [8] and Gingold and Monaghan [9] for astrophysical applications, the SPH method has been successfully applied in a broad variety of applications ranging from fluid mechanics [12,13,14,15] and solid dynamics [16,17,18,19,20] to multi-phase flows [21,22,23] and FSI [24,25,26,27]. More recently, Zhang et al [1] developed an integrative SPH method for cardiac function and demonstrated its robust and accuracy in dealing with the following aspects : (i) correct capturing of the stiff dynamics of the transmembrane potential and the gating variables, (ii) robust predicting of the large deformations and the strongly anisotropic behavior of the myocardium, (iii) proper coupling of the electrical excitation and the tissue mechanics for electromechanical feedback.…”

Section: Introductionmentioning

confidence: 99%

A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network

Zhang¹,

Gao²,

Hu³

2021

Preprint

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In previous work, [1] developed an integrated smoothed particle hydrodynamics (SPH) method to address the simulation of the principle aspects of cardiac function, including electrophysiology, passive and active mechanical response of the myocardium. As the inclusion of the Purkinje network in electrocardiology is recognized as fundamental to accurately describing the electrical activation in the right and left ventricles, in this paper, we present a multi-order SPH method to handle the electrical propagation through the Purkinje system and in the myocardium with monodomain/monodomain coupling strategy. We first propose an efficient algorithm for network generation on arbitrarily complex surface by exploiting level-set geometry representation and cell-linked list neighbor search algorithm. Then, a reduced-order SPH method is developed to solve the one-dimensional monodomain equation to characterize the fast electrical activation through the Purkinje network. Finally, a multiorder coupling paradigm is introduced to capture the coupled nature of potential propagation arising from the interaction between the network system and the myocardium. A set of numerical examples are studied to assess the computational performance, accuracy and versatility of the proposed methods. In

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Fluid–Structure Interaction Analyses of Biological Systems Using Smoothed-Particle Hydrodynamics

Cited by 16 publications

References 77 publications

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

Fluid–Structure Interaction and Non-Fourier Effects in Coupled Electro-Thermo-Mechanical Models for Cardiac Ablation

A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network

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