A homeostatic-driven turnover remodelling constitutive model for healing in soft tissues

Comellas, Ester; Gasser, T. Christian; Bellomo, Facundo J.; Oller, Sergio

doi:10.1098/rsif.2015.1081

Cited by 28 publications

(40 citation statements)

References 98 publications

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“…It was basically based on the multiplicative decomposition of the deformation gradient into a isochoric (volume‐preserving) and a volumetric part in which damage only affects the former. Recently, damage models with a volumetric‐deviatoric decoupling have been introduced to model the behavior of fibrous soft biological tissues . The fact that damage is applied only on the deviatoric part of the model means that, for a completely damaged structure, a volumetric quasi‐incompressible undamaged part will always remain.…”

Section: Introductionmentioning

confidence: 99%

“…To address such issue, numerical models of arterial walls, based on an appropriate finite-element (FE) damage model, can be very helpful. Over the last decades, many phenomenological and micromechanical models have been proposed to predict the damage evolution in soft 4,[15][16][17][18] and hard 19,20 tissues. The first damage model of soft tissues can be traced back to the 1970s.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, damage models with a volumetric-deviatoric decoupling have been introduced to model the behavior of fibrous soft biological tissues. 4,[16][17][18] The fact that damage is applied only on the deviatoric part of the model means that, for a completely damaged structure, a volumetric quasi-incompressible undamaged part will always remain.…”

Section: Introductionmentioning

confidence: 99%

“…Damage models can be categorized in 3 groups: (1) deterministic models in which a pseudoelastic strain energy function (SEF) with a few parameters or damage variables of continuum damage mechanics (CDM) is used to characterize the softening/damage effect, either isotropically 19,23 or anisotropically 24-26 ; (2) probabilistic models in which probabilistic damage process and/or fiber recruitment can be included 27,28 ; and (3) microstructural-based damage models of collagen fibers in which the microscopic damage behavior of individual collagen fibrils is considered and homogenized macroscopically. 29 All these formulations can be categorized as nonlocal 4 or local [15][16][17][18][19][20] damage models. In the nonlocal methodologies, an integral-type nonlocal averaging scheme is used in the constitutive equations to limit the localization phenomena of damage variables and to overcome the mesh pathology.…”

Section: Introductionmentioning

confidence: 99%

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Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Mousavi

Farzaneh

2017

Numer Methods Biomed Eng

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Dissections of ascending thoracic aortic aneurysms (ATAAs) cause significant morbidity and mortality worldwide. They occur when a tear in the intima-media of the aorta permits the penetration of the blood and the subsequent delamination and separation of the wall in 2 layers, forming a false channel. To predict computationally the risk of tear formation, stress analyses should be performed layer-specifically and they should consider internal or residual stresses that exist in the tissue. In the present paper, we propose a novel layer-specific damage model based on the constrained mixture theory, which intrinsically takes into account these internal stresses and can predict appropriately the tear formation. The model is implemented in finite-element commercial software Abaqus coupled with user material subroutine. Its capability is tested by applying it to the simulation of different exemplary situations, going from in vitro bulge inflation experiments on aortic samples to in vivo overpressurizing of patient-specific ATAAs. The simulations reveal that damage correctly starts from the intimal layer (luminal side) and propagates across the media as a tear but never hits the adventitia. This scenario is typically the first stage of development of an acute dissection, which is predicted for pressures of about 2.5 times the diastolic pressure by the model after calibrating the parameters against experimental data performed on collected ATAA samples. Further validations on a larger cohort of patients should hopefully confirm the potential of the model in predicting patient-specific damage evolution and possible risk of dissection during aneurysm growth for clinical applications.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Mousavi

Farzaneh

2017

Numer Methods Biomed Eng

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“…When the next simulation is initialized, a healing duration can be specified, which then partially or completely reverses the accumulated damage in each fiber element. Healing models have been implemented in various simulations of soft biological tissues, such as tendons [31], ligaments [32], and intervertebral discs [33]. However, due to the lack of experimental data, a constant healing rate is typically assumed.…”

Section: Healingmentioning

confidence: 99%

Computation of history-dependent mechanical damage of axonal fiber tracts in the brain: towards tracking sub-concussive and occupational damage to the brain

Garimella

Kraft

2018

Preprint

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Finite element models are frequently used to simulate traumatic brain injuries. However, current models are unable to capture the progressive damage caused by repeated head trauma. In this work, we propose a method for computing the history-dependent mechanical damage of axonal fiber bundle tracts in the brain. Through the introduction of multiple damage models, we provide the ability to link consecutive head impact simulations, so that potential injury to the brain can be tracked over time. In addition, internal damage variables are used to degrade the mechanical response of each axonal fiber bundle element. As a result, the stiffness of the aggregate tissue decreases as damage evolves. To counteract this degenerative process, we have also introduced a preliminary healing model that reverses the accumulated damage, based on a user-specified healing duration. Using two detailed examples, we demonstrate that damage produces a significant decrease in fiber stress, which ultimately propagates to the tissue level and produces a measurable decrease in overall stiffness. These results suggest that damage modeling has the potential to enhance current brain simulation techniques and lead to new insights, especially in the study of repetitive head injuries. KEYWORDSaxonal injury, diffusion tensor imaging, traumatic brain injury, damage mechanics, finite element analysis, composites, embedded element method, occupational brain injury, sub-concussive brain injury INTRODUCTIONTraumatic brain injury (TBI) is a significant cause of death and long-term disability [1]. In the United States, there were 2.8 million TBI-related emergency department visits, hospitalizations, and deaths in 2013 [2]. The structure of the brain can be divided into the gray and white matter regions. In general, gray matter tissue forms the outer layer of the brain and contains the neuron cell bodies, while white matter tissue forms the central region of the brain and contains neuron cell extensions, known as axons. These tightly bundled axons form a dense communication network that transmits signals between the neuron cell bodies. While axons account for the majority of white matter tissue, they are surrounded by a mixture of other components, such as glial cells and the extracellular matrix (ECM). However, this surrounding host material is much softer than the axons [3] [4]. As a result, white matter tissue is commonly treated as a fiber-reinforced composite in mechanical simulations [5] [6] [7] [8]. During severe head impacts, brain deformations can result in the widespread stretching and shearing of axons. This kind of TBI is classified as diffuse axonal injury (DAI) and is typically associated with motor vehicle crashes, sports injuries, and military blast trauma [9] [10]. DAI is the primary injury mechanism in more than 40% of all hospitalized TBIs [11] and can result in both physical and cognitive impairments, which may be temporary or permanent [12].In an effort to design safer products and study the underlying mechanisms of brain injury, there h...

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3D bone models to study the complex physical and cellular interactions between tumor and the bone microenvironment

Vanderburgh

Guelcher

Sterling

2018

J of Cellular Biochemistry

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As the complexity of interactions between tumor and its microenvironment has become more evident, a critical need to engineer in vitro models that veritably recapitulate the 3D microenvironment and relevant cell populations has arisen. This need has caused many groups to move away from the traditional 2D, tissue culture plastic paradigms in favor of 3D models with materials that more closely replicate the in vivo milieu. Creating these 3D models remains a difficult endeavor for hard and soft tissues alike as the selection of materials, fabrication processes, and optimal conditions for supporting multiple cell populations makes model development a nontrivial task. Bone tissue in particular is uniquely difficult to model in part because of the limited availability of materials that can accurately capture bone rigidity and architecture, and also due to the dependence of both bone and tumor cell behavior on mechanical signaling. Additionally, the bone is a complex cellular microenvironment with multiple cell types present, including relatively immature, pluripotent cells in the bone marrow. This prospect will focus on the current 3D models in development to more accurately replicate the bone microenvironment, which will help facilitate improved understanding of bone turnover, tumor-bone interactions, and drug response. These studies have demonstrated the importance of accurately modelling the bone microenvironment in order to fully understand signaling and drug response, and the significant effects that model properties such as architecture, rigidity, and dynamic mechanical factors have on tumor and bone cell response.

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A homeostatic-driven turnover remodelling constitutive model for healing in soft tissues

Cited by 28 publications

References 98 publications

Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Computational predictions of damage propagation preceding dissection of ascending thoracic aortic aneurysms

Computation of history-dependent mechanical damage of axonal fiber tracts in the brain: towards tracking sub-concussive and occupational damage to the brain

3D bone models to study the complex physical and cellular interactions between tumor and the bone microenvironment

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