Energy distribution in disordered elastic networks

Plaza, Gustavo R.

doi:10.1103/physreve.82.031902

Cited by 4 publications

(4 citation statements)

References 38 publications

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“…Therefore it is likely that the initial phase is related to a more rapid flow of the cytosol relative to the cytoplasm organelles and the cytoskeleton. Afterwards all the cellular materials enter progressively in the microcapillary and the deformation is expected to be dependent on the remodeling of the cytoskeleton [21,35].…”

Section: Resultsmentioning

confidence: 99%

Simple measurement of the apparent viscosity of a cell from only one picture: Application to cardiac stem cells

et al. 2014

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Mechanical deformability of cells is a key property that influences their ability to migrate and their contribution to tissue development and regeneration. We analyze here the possibility of characterizing the overall deformability of cells by their apparent viscosity, using a simplified method to estimate that parameter. The proposed method simplifies the quantitative analysis of micropipette-aspiration experiments. We have studied by this procedure the overall apparent viscosity of cardiac stem cells, which are considered a promising tool to regenerate damaged cardiac tissue. Comparison with the apparent viscosity of low-viscosity cells such as immune-system cells suggests that treatments to reduce the viscosity of these cells could enhance their ability to repair damaged cardiac tissue.

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Section: Resultsmentioning

confidence: 99%

Simple measurement of the apparent viscosity of a cell from only one picture: Application to cardiac stem cells

et al. 2014

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“…36 (b and c) Proposed comparison between filamin and a-actinin: (b) the different structure and size determine the higher rigidity and limitation to establish cross-links of a-actinin (in the sketch we ignore the fact that the second bond could not be established in all directions); (c) the higher flexibility of filamin cross-links results in a larger deformability of the network. 39 speed of cytoskeletons is more affected by external forces for wt myosin than for DRLCBS and DBLCBS myosins. 38 The effects of filamin and a-actinin on the deformability are different: the absence of a-actinin results in a lower viscosity of the cell, while the effect of the absence of filamin is lower (no significant differences).…”

Section: Soft Matter Papermentioning

confidence: 95%

Study of the influence of actin-binding proteins using linear analyses of cell deformability

et al. 2015

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The actin cytoskeleton plays a key role in the deformability of the cell and in mechanosensing. Here we analyze the contributions of three major actin cross-linking proteins, myosin II, α-actinin and filamin, to cell deformability, by using micropipette aspiration of Dictyostelium cells. We examine the applicability of three simple mechanical models: for small deformation, linear viscoelasticity and drop of liquid with a tense cortex; and for large deformation, a Newtonian viscous fluid. For these models, we have derived linearized equations and we provide a novel, straightforward methodology to analyze the experiments. This methodology allowed us to differentiate the effects of the cross-linking proteins in the different regimes of deformation. Our results confirm some previous observations and suggest important relations between the molecular characteristics of the actin-binding proteins and the cell behavior: the effect of myosin is explained in terms of the relation between the lifetime of the bond to actin and the resistive force; the presence of α-actinin obstructs the deformation of the cytoskeleton, presumably mainly due to the higher molecular stiffness and to the lower dissociation rate constants; and filamin contributes critically to the global connectivity of the network, possibly by rapidly turning over cross-links during the remodeling of the cytoskeletal network, thanks to the higher rate constants, flexibility and larger size. The results suggest a sophisticated relationship between the expression levels of actin-binding proteins, deformability and mechanosensing.

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“…An in-depth understanding of flow through fibrous porous materials and determining the resulting pressure drop are important in numerous engineering applications such as filtration and separation of particles [1], biological systems [2], composite fabrication [3], compact heat exchangers [4][5][6], biological materials [7], and fuel cell technology [8]. In creeping flow regime, according to the Darcy equation, the relationship between volume-averaged velocity through porous media, U D , and the pressure drop is linear [9]:…”

Section: Introductionmentioning

confidence: 99%

Effects of microstructure on flow properties of fibrous porous media at moderate Reynolds number

2012

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In this study, effects of microstructure on the viscous permeability and Forchheimer coefficient of monodispersed fibers are investigated. The porous material is represented by a unit cell which is assumed to be repeated throughout the medium. Based on the orientation of the fibers in the space, fibrous media are divided into three categories: one-, two-, and three-directional (1D, 2D, and 3D) structures. Parallel and transverse flow through square arrangements of 1D fibers, simple 2D mats, and 3D simple cubic structures are solved numerically over a wide range of porosity (0.35 < ε < 0.95) and Reynolds number (0.01 < Re < 200). The results are used to calculate the permeability and the inertial coefficient of the considered geometries. An experimental study is performed; the flow coefficients of three different ordered tube banks in the moderate range of Reynolds number (0.001 < Re < 15) are determined. The numerical results are successfully compared with the present and the existing experimental data in the literature. The results suggest that the permeability and Forchheimer coefficient are functions of porosity and fiber orientation. A comparison of the experimental and numerical results with the Ergun equation reveals that this equation is not suitable for highly porous materials. As such, accurate correlations are proposed for determining the Forchheimer coefficient in fibrous porous media.

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Energy distribution in disordered elastic networks

Cited by 4 publications

References 38 publications

Simple measurement of the apparent viscosity of a cell from only one picture: Application to cardiac stem cells

Simple measurement of the apparent viscosity of a cell from only one picture: Application to cardiac stem cells

Study of the influence of actin-binding proteins using linear analyses of cell deformability

Effects of microstructure on flow properties of fibrous porous media at moderate Reynolds number

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