Simulating the temporal change of the active response of arteries by finite elements with high-order time-integrators

Gilbert, Rose Rogin; Grafenhorst, Matthias; Hartmann, Stefan; Yosibash, Zohar

doi:10.1007/s00466-019-01744-w

Cited by 6 publications

(3 citation statements)

References 72 publications

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“…The model by Yosibash and Priel ( 2012 ) was further investigated in Gilbert et al. ( 2019 ) by coupling the mechanics with a diffusion of the vasoconstrictor. While the model showed a promising fit to experiments, it should be recognized that several hormones influence the SMC contraction of the arterial wall at the same time.…”

Section: Introductionmentioning

confidence: 99%

Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure

Uhlmann

Balzani

2023

Biomech Model Mechanobiol

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In this paper, a novel chemo-mechanical model is proposed for the description of the stretch-dependent chemical processes known as Bayliss effect and their impact on the active contraction in vascular smooth muscle. These processes are responsible for the adaptive reaction of arterial walls to changing blood pressure by which the blood vessels actively support the heart in providing sufficient blood supply for varying demands in the supplied tissues. The model is designed to describe two different stretch-dependent mechanisms observed in smooth muscle cells (SMCs): a calcium-dependent and a calcium-independent contraction. For the first one, stretch of the SMCs leads to an inlet of calcium ions which activates the myosin light chain kinase (MLCK). The increased activity of MLCK triggers the contractile units of the cells resulting in the contraction on a comparatively short time scale. For the calcium-independent contraction mechanism, stretch-dependent receptors of the cell membrane stimulate an intracellular reaction leading to an inhibition of the antagonist of MLCK, the myosin light chain phosphatase resulting in a contraction on a comparatively long time scale. An algorithmic framework for the implementation of the model in finite element programs is derived. Based thereon, it is shown that the proposed approach agrees well with experimental data. Furthermore, the individual aspects of the model are analyzed in numerical simulations of idealized arteries subject to internal pressure waves with changing intensities. The simulations show that the proposed model is able to describe the experimentally observed contraction of the artery as a reaction to increased internal pressure, which can be considered a crucial aspect of the regulatory mechanism of muscular arteries.

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Section: Introductionmentioning

confidence: 99%

Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure

Uhlmann

Balzani

2023

Biomech Model Mechanobiol

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“…A possible additional significance of the action of facial muscles on blood vessels is in assessing clinical outcomes of facial surgeries [43][44][45]. Lastly, the results point out a possible route towards expanding in-vivo analysis of bio-mechanical properties of arteries [1], for example, investigation of the active response of arteries [46].…”

Section: Discussionmentioning

confidence: 92%

Soft electrodes for simultaneous bio-potential and bio-impedance study of the face

Levit,

Funk,

Hanein

2024

Biomed. Phys. Eng. Express

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The human body’s vascular system is a finely regulated network: Blood vessels can change in shape (i.e. constrict, or dilate), their elastic response may shift and they may undergo temporary and partial blockages due to pressure applied by skeletal muscles in their immediate vicinity. Simultaneous measurementof muscle activation and the corresponding changes in vessel diameter, in particular in regions such as the face, is challenging, and the manner by which muscle activation constricts blood vessels has been experimentally largely overlooked. Here we report on a new electronic skin technology for facial investigations to address this challenge. By employing soft and dry electrode arrays we were able to performconcurrent bio-potential and bio-impedance measurements, and to successfully capture subtle fluctuations in the temporal superficial artery diameter in response to facial muscle activity, which ultimately changes blood flow. The observed changes in the face, following muscle activation, were contested with measurements in the forearm and were found to be notably more intricate. Simultaneous mapping of the face’s bio-potential and bio-impedance enabled us to gain insights into thecomplex mechanisms through which facial muscles might modulate blood flow andpossibly affect human physiology.

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“…The mathematical description of many phenomena from areas such as fluid dynamics, chemistry, biology, information, environmental and materials sciences is governed by diffusion-type equations. In this regard, numerous numerical methods (based on the classical local diffusion) have so far been employed, for example the finite element method (FEM), the finite difference method (FDM), the boundary element method (BEM), and meshfree methods (see, e.g., [4,6,25,31]). At the macroscale, most diffusion processes can be described well by local models based on Fourier's law (heat conduction) as well as Fick's law (mass transport).…”

Section: Introductionmentioning

confidence: 99%

Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models

et al. 2020

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Diffusion-type problems in (nearly) unbounded domains play important roles in various fields of fluid dynamics, biology, and materials science. The aim of this paper is to construct accurate absorbing boundary conditions (ABCs) suitable for classical (local) as well as nonlocal peridynamic (PD) diffusion models. The main focus of the present study is on the PD diffusion formulation. The majority of the PD diffusion models proposed so far are applied to bounded domains only. In this study, we propose an effective way to handle unbounded domains both with PD and classical diffusion models. For the former, we employ a meshfree discretization, whereas for the latter the finite element method (FEM) is employed. The proposed ABCs are time-dependent and Dirichlet-type, making the approach easy to implement in the available models. The performance of the approach, in terms of accuracy and stability, is illustrated by numerical examples in 1D, 2D, and 3D.

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Simulating the temporal change of the active response of arteries by finite elements with high-order time-integrators

Cited by 6 publications

References 72 publications

Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure

Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure

Soft electrodes for simultaneous bio-potential and bio-impedance study of the face

Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models

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