A poro-hyper-viscoelastic rate-dependent constitutive modeling for the analysis of brain tissues

Hosseini-Farid, Mohammad; Ramzanpour, Mohammadreza; McLean, Jayse; Ziejewski, Mariusz; Karami, G.

doi:10.1016/j.jmbbm.2019.103475

Cited by 37 publications

(28 citation statements)

References 51 publications

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“…Initial models incorporating both porous and viscous responses aimed at fitting a single experimental setup (Cheng and Bilston, 2007) or included important analytical simplifications and were tailored to particular applications related to cerebrospinal fluid circulation (Mehrabian and Abousleiman, 2011;Hasan and Drapaca, 2015;Mehrabian et al, 2015). To our knowledge, the formulation proposed by our group (Comellas et al, 2020) and the model described by Hosseini-Farid et al (2020) are the only approaches to date with the potential of capturing the wide range of characteristics observed in the response of brain tissue under different biomechanical loading scenarios.…”

Section: Introductionmentioning

confidence: 99%

Poro-Viscoelastic Effects During Biomechanical Testing of Human Brain Tissue

et al. 2021

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Brain tissue is one of the softest tissues in the human body and the quantification of its mechanical properties has challenged scientists over the past decades. Associated experimental results in the literature have been contradictory as characterizing the mechanical response of brain tissue not only requires well-designed experimental setups that can record the ultrasoft response, but also appropriate approaches to analyze the corresponding data. Due to the extreme complexity of brain tissue behavior, nonlinear continuum mechanics has proven an expedient tool to analyze testing data and predict the mechanical response using a combination of hyper-, visco-, or poro-elastic models. Such models can not only allow for personalized predictions through finite element simulations, but also help to comprehensively understand the physical mechanisms underlying the tissue response. Here, we use a nonlinear poro-viscoelastic computational model to evaluate the effect of different intrinsic material properties (permeability, shear moduli, nonlinearity, viscosity) on the tissue response during different quasi-static biomechanical measurements, i.e., large-strain compression and tension as well as indentation experiments. We show that not only the permeability but also the properties of the viscoelastic solid largely control the fluid flow within and out of the sample. This reveals the close coupling between viscous and porous effects in brain tissue behavior. Strikingly, our simulations can explain why indentation experiments yield that white matter tissue in the human brain is stiffer than gray matter, while large-strain compression experiments show the opposite trend. These observations can be attributed to different experimental loading and boundary conditions as well as assumptions made during data analysis. The present study provides an important step to better understand experimental data previously published in the literature and can help to improve experimental setups and data analysis for biomechanical testing of brain tissue in the future.

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Section: Introductionmentioning

confidence: 99%

Poro-Viscoelastic Effects During Biomechanical Testing of Human Brain Tissue

et al. 2021

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“…In practice, the brain mechanics literature suffers from a lack of experimental data in dynamic configurations, which would be representative of head trauma configurations. Lastly, several modelling refinements could be introduced in potential fine-tuning steps, such as viscoelastic behaviour [5,6], non-Darcy flow [38] or objective derivatives [35], to name a few. A conclusive experimental or computational assessment of multi-phasic effects in TBI is still needed.…”

Section: Discussionmentioning

confidence: 99%

“…to be very soft, heterogeneous, nonlinear and time-dependent (see the review by Budday et al [3]). Based on quasi-static mechanical loadings, recent laboratory studies show that the fluid-solid coupling in brain tissue may be partly responsible for time-dependent effects [4][5][6][7]. Consequently, biphasic theory is receiving increasing attention in brain mechanics, where it has also been used for the modelling of drug delivery and surgical procedures [8,9].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear plane waves in saturated porous media with incompressible constituents

Berjamin

2021

Proc. R. Soc. A.

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We consider the propagation of nonlinear plane waves in porous media within the framework of the Biot–Coussy biphasic mixture theory. The tortuosity effect is included in the model, and both constituents are assumed incompressible (Yeoh-type elastic skeleton, and saturating fluid). In this case, the linear dispersive waves governed by Biot’s theory are either of compression or shear-wave type, and nonlinear waves can be classified in a similar way. In the special case of a neo-Hookean skeleton, we derive the explicit expressions for the characteristic wave speeds, leading to the hyperbolicity condition. The sound speeds for a Yeoh skeleton are estimated using a perturbation approach. Then we arrive at the evolution equation for the amplitude of acceleration waves. In general, it is governed by a Bernoulli equation. With the present constitutive assumptions, we find that longitudinal jump amplitudes follow a nonlinear evolution, while transverse jump amplitudes evolve in an almost linearly degenerate fashion.

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“…As we age, the brain acquires more stiffness, but preserves its ability to distribute the tensions that run through its solid-fluid structure [26]. The solid part is able to resist the force of fluids, increasing the hydrostatic pressure, in a hydromechanical continuum in constant motion and deformation [28]. The mechanical deformation forces that the nervous tissue undergoes from the passage of fluids and from the constant cranio-caudal and lateral-medial movement secondarily arising from the action of the heart and respiratory diaphragm are damped, precisely due to the intrinsic characteristic of the brain.…”

Section: Mechanical Properties Of the Brainmentioning

confidence: 99%

The Cranial Bowl in the New Millennium and Sutherland's Legacy for Osteopathic Medicine: Part 2

Bordoni

Walkowski²,

Ducoux³

et al. 2020

Cureus

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Cranial osteopathic medicine is practiced all over the world, respecting the dictates of the creator, Dr Sutherland. Despite the current manual approach faithfully follows the theoretical and practical bases that make up the cranial model of the last century, there are many scientific evidences that highlight the criticalities of the same model. In the first part we reviewed the role of the meninges and cerebrospinal fluid (CSF), as well as we discussed some rhythms present in the central nervous system; these latter elements are the pillars to support the theoretical idea of the movement of the skull evaluated and palpated by the osteopath. In this second part we will review the mechanical characteristics of other structures that make up the cranial system, highlighting new perspectives for clinical practice, thanks to the most recent data derived from scientific research.

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A poro-hyper-viscoelastic rate-dependent constitutive modeling for the analysis of brain tissues

Cited by 37 publications

References 51 publications

Poro-Viscoelastic Effects During Biomechanical Testing of Human Brain Tissue

Poro-Viscoelastic Effects During Biomechanical Testing of Human Brain Tissue

Nonlinear plane waves in saturated porous media with incompressible constituents

The Cranial Bowl in the New Millennium and Sutherland's Legacy for Osteopathic Medicine: Part 2

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