Computational model of damage-induced growth in soft biological tissues considering the mechanobiology of healing

Gierig, Meike; Wriggers, Peter; Marino, Michele

doi:10.1007/s10237-021-01445-5

Cited by 14 publications

(10 citation statements)

References 46 publications

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“…The basic F 0 -approach, implemented in the current paper, is limited to the case of det F 0 = 1. However, since the analysis of residual stresses is often coupled with growth and remodelling [6,12,17,28,29,33], it is essential to account for volume change. Refined F 0 -approach with det F 0 = 1 is discussed in [63,64].…”

Section: General Ideamentioning

confidence: 99%

“…The current conventional representation of the tissue as a fibre-reinforced composite [24] allows reducing the problem to two simpler problems: modelling the isotropic matrix and transversally-anisotropic fibres. Viscoelastic [25,37,61,70], damage-related [2,21,30,74], as well as growth & remodelling [5,12,17,33] models describe the stress-strain hysteresis, damage accumulation, and reorganisation/adaptation of soft tissue, respectively. Consideration of residual stresses [3,24,62] is crucial for analysing overall stress fields, kinematics of the structure, and its functional properties.…”

Section: Introductionmentioning

confidence: 99%

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Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis

Tagiltsev¹,

Parshin²,

Shutov³

2022

Math. Model. Nat. Phenom.

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Blood vessels exhibit highly nonlinear, anisotropic behaviour with numerous mechanical interactions. Since exact modelling of all involved effects would yield a computationally prohibitive procedure, a practical clinical simulation tool needs to account for a minimum threshold of relevant factors. In this study, we analyse needed modelling assumptions for a reliable simulation of the end-to-side anastomosis. The artery wall is modelled in a geometrically exact setting as a pre-stressed fibre-reinforced composite. The study focuses on the sensitivity analysis of post-anastomosis stress fields concerning the modelling assumptions. Toward that end, a set of full-scale finite element simulations is carried out for three sensitivity cases: (i) The post-operational stresses are estimated with and without taking the residual stresses into account. (ii) Different geometries of the cut in the recipient vessel are examined. (iii) The influence of errors in material stiffness identification on the post-operational stress field is estimated. The studied cases (i)---(iii) have shown a substantial impact of the considered modelling assumptions on the predictive capabilities of the simulation. Approaches to more accurate predictions of post-operational stress distribution are outlined, and a quest for more accurate experimental procedures is made. As a by-product, the occurrence of the pseudo-aneurysm is explained.

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Section: General Ideamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis

Tagiltsev¹,

Parshin²,

Shutov³

2022

Math. Model. Nat. Phenom.

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“…Вязкоупругость состоит из ползучести -постепенного удлинения под действием силы (в течение определенного периода) при постоянном напряжении и релаксации напряжения -проявляется при постоянной деформации. Вязкоупругость кожи наблюдается только в экспериментальных условиях, при действии на неё очень большой силы [35]. В связи с этим обозначается сложность моделирования мягких тканей и кожи.…”

Section: результатыunclassified

“…Зияние раны после линейного разреза объясняется сокращением соединительнотканного слоя кожи (клетчатка и эпителиальный слой самостоятельно и не сокращаются). Волокна коллагена закручиваются вокруг стержня из эластиновых волокон, поэтому возможно их выпрямление после растяжения под действием внешних сил [35]. Так как в результате действия сверхфизиологического фактора на ткань происходит размягчение коллагена, его межцепочечное расслоение, наблюдается изменение биомеханических свойств (упругость, растяжимость, жёсткость, плотность и т.д.)…”

Section: результатыunclassified

Computer simulation of the wound process (review of literature)

Морозов

Сергеев

Sungurova

et al. 2022

vmirvz

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Relevance. Computer simulation is a mathematical modeling process performed on a computer that is designed to predict the behavior or results of a real or physical system. Computer simulation has a number of advantages over classical models of animal experiments: the cheapness of the method (the need to acquire and maintain animals disappears by itself), the speed of obtaining results, the absence of bioethical problems, the ability to change the conditions of the experiment, etc.he purpose of this study is to review the methods of computer simulation of the wound process, to identify the shortcomings of the models and propose ways to solve them, as well as to select the best existing model for describing wound regeneration.Material and methods. In the course of this work, an analysis was made of foreign and domestic literature on the problem of computer modeling of the wound process.Results. After analyzing the relevant literature on this topic, the problem is seen precisely in the insufficiently studied process of wound regeneration, since many different cells, cytokines, growth factors, enzymes, fibrillar proteins, etc. take part in it. The models that currently exist describe wound regeneration only in an extremely generalized way, which does not allow us to apply them in clinical situations. Analyzing literature sources, we came to the conclusion that both numerical approaches, both cellular-biochemical (the first type of models) and phenomenological (the second type) are applicable in the case of wound modeling and can be used very successfully. The problem is that on the basis of one approach it is impossible to display a complete picture of wound healing, in this way it is possible to predict only individual regeneration parameters necessary for certain purposes due to the complexity and versatility of this typical pathophysiological process.Conclusion. Computer modeling of wounds is still a controversial and complex topic. Existing models are not intended to describe all the processes occurring in a healing wound. It is much more productive to describe the various phenomena during healing separately. This is due to the fact that many elements are involved in the regeneration of the skin, which are almost impossible to take into account in full. The available models are of exclusively scientific value, consisting in attempts to understand all complex processes and interactions. Practical application is difficult, since existing models require specific input data that require highly specialized equipment. If we abstract from all this, then the best existing model of the first type is the model of the authors Yangyang Wang, Christian F. Guerrero-Juarez, Yuchi Qiu and co-authors, in addition to it, any of the described phenomenological models will do.

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“…The complex interactions between these species are then coupled to a continuum mechanical model of the vessel wall embedded with a finite growth theory, where the local SMC density drives the growth process and the local ECM (hence collagen) concentration controls the compliance of the vessel wall. Multiphysics-based frameworks for modeling damage-driven growth and remodeling have been presented in several earlier works [1,2], but the presented model specifically addresses the inflammatory response due to endothelium denudation.…”

mentioning

confidence: 99%