A structural constitutive model for smooth muscle contraction in biological tissues

Tan, Ting; Vita, R. De

doi:10.1016/j.ijnonlinmec.2015.02.009

Cited by 32 publications

(11 citation statements)

References 29 publications

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“…Stålhand et al [76] formulated a chemomechanical finite strain model for SMC contraction based on a spring element and a contractile element in parallel controlled by Ca ++ -dependent state variables, as proposed by Hai and Murphy. The one and two-dimensional structural constitutive models by Tan and De Vita [77] and the three-dimensional phenomenological constitutive model by Schmitz and Böl [78] show a good approximation of the passive, active and total arterial mechanics. Chen and Kassab [79] described the three-dimensional microstructural response of coronary artery differentiating into elastin, collagen and SMCs.…”

Section: Discussionmentioning

confidence: 90%

Virgin Passive Colon Biomechanics and a Literature Review of Active Contraction Constitutive Models

et al. 2022

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The objective of this paper is to present our findings on the biomechanical aspects of the virgin passive anisotropic hyperelasticity of the porcine colon based on equibiaxial tensile experiments. Firstly, the characterization of the intestine tissues is discussed for a nearly incompressible hyperelastic fiber-reinforced Holzapfel–Gasser–Ogden constitutive model in virgin passive loading conditions. The stability of the evaluated material parameters is checked for the polyconvexity of the adopted strain energy function using positive eigenvalue constraints of the Hessian matrix with MATLAB. The constitutive material description of the intestine with two collagen fibers in the submucosal and muscular layer each has been implemented in the FORTRAN platform of the commercial finite element software LS-DYNA, and two equibiaxial tensile simulations are presented to validate the results with the optical strain images obtained from the experiments. Furthermore, this paper also reviews the existing models of the active smooth muscle cells, but these models have not been computationally studied here. The review part shows that the constitutive models originally developed for the active contraction of skeletal muscle based on Hill’s three-element model, Murphy’s four-state cross-bridge chemical kinetic model and Huxley’s sliding-filament hypothesis, which are mainly used for arteries, are appropriate for numerical contraction numerical analysis of the large intestine.

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Section: Discussionmentioning

confidence: 90%

Virgin Passive Colon Biomechanics and a Literature Review of Active Contraction Constitutive Models

et al. 2022

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“…More importantly, these biomechanical models of fibrous tissues do not include the existence of active cells, which generate local proliferation and global growth (fibroblasts, cancerous cells) but also active strain or stress (myofibroblasts), apart for the work of De Vita and colleagues [90,91] on smooth muscles. Clearly, this biological situation, where small-scale individuals may perturb a complex environment, open new challenges in finite elasticity.…”

Section: Active Cells In Connective Tissuesmentioning

confidence: 99%

Physics of growing biological tissues: the complex cross-talk between cell activity, growth and resistance

Amar

Nassoy

Goff

2019

Phil. Trans. R. Soc. A.

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For many organisms, shapes emerge from growth, which generates stresses, which in turn can feedback on growth. In this review, theoretical methods to analyse various aspects of morphogenesis are discussed with the aim to determine the most adapted method for tissue mechanics. We discuss the need to work at scales intermediate between cells and tissues and emphasize the use of finite elasticity for this. We detail the application of these ideas to four systems: active cells embedded in tissues, brain cortical convolutions, the cortex of Caenorhabditis elegans during elongation and finally the proliferation of epithelia on extracellular matrix. Numerical models well adapted to inhomogeneities are also presented. This article is part of the theme issue ‘Rivlin's legacy in continuum mechanics and applied mathematics’.

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“…Dillon et al [87] also highlighted that SMCs generate a maximal force when stretched at an optimal length. Gradually, further models took into account the orientation of the SMCs in the media [58] and the interaction between the cell and its ECM [88,89,103]. Only Murtada's model [82] has integrated the regulation of [Ca 2+ ] i controlling SMC contraction (see section 6.3.1.2).…”

Section: (Sub)cellular Models For the Smcmentioning

confidence: 99%

“…That is what Dillon et al [87] have called the "latch state" which was used later in association with the sliding filament theory to develop another subcellular model for the SMC contractile unit [74]. Several other cellular models combine the proper active behavior of SMCs with the passive behavior of its ECM [58,88,89]. The SMC is protected from a too high lengthening thanks to the intermediate filaments (made of desmine), linking dense bodies together [62].…”

Section: Principle Of Smc Contractilitymentioning

confidence: 99%

Review of the Essential Roles of SMCs in ATAA Biomechanics

Petit

Mousavi

Avril

2019

Advances in Biomechanics and Tissue Regeneration

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Aortic Aneurysms are among the most critical cardiovascular diseases. The present study is focused on Ascending Thoracic Aortic Aneurysms (ATAA). The main causes of ATAA are commonly cardiac malformations like bicuspid aortic valve or genetic mutations. Research studies dedicated to ATAA tend more and more to invoke multifactorial effects. In the current review, we show that all these effects converge towards a single paradigm relying upon the crucial biomechanical role played by smooth muscle cells (SMCs) in controlling the distribution of mechanical stresses across the aortic wall. The chapter is organized as follows. In section 6.2, we introduce the basics of arterial wall biomechanics and how the stresses are distributed across its different layers and among the main structural constituents: collagen, elastin, and SMCs. In section 6.3, we introduce the biomechanical active role of SMCs and its main regulators. We show how SMCs actively regulate the distribution of stresses across the aortic wall and among the main structural constituents. In section 6.4, we review studies showing that SMCs tend to have a preferred homeostatic tension. We show that mechanosensing can be understood as a reaction to homeostasis unbalance of SMC tension. Through the use of layer-specific multiscale modeling of the arterial wall, it is revealed that the quantification of SMC homeostatic tension is crucial to predict numerically the initiation and development of ATAA.

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A structural constitutive model for smooth muscle contraction in biological tissues

Cited by 32 publications

References 29 publications

Virgin Passive Colon Biomechanics and a Literature Review of Active Contraction Constitutive Models

Virgin Passive Colon Biomechanics and a Literature Review of Active Contraction Constitutive Models

Physics of growing biological tissues: the complex cross-talk between cell activity, growth and resistance

Review of the Essential Roles of SMCs in ATAA Biomechanics

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