2016
DOI: 10.1016/j.jmps.2016.07.002
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Porous-based rheological model for tissue fluidisation

Abstract: It has been experimentally observed that cells exhibit a fluidisation process when subjected to a transient stretch, with an eventual recovery of the mechanical properties upon removal of the applied deformation. This fluidisation process is characterised by a decrease of the storage modulus and an increase of the phase angle. We propose a rheological model which is able to reproduce this combined mechanical response. The model is described in the context of continua and adapted to a cell-centred particle syst… Show more

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Cited by 5 publications
(11 citation statements)
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“…On the other hand, for Muñoz's active element, the inelastic part of the external power will be used to overcome the resistance of the cytoskeleton filaments γ to adapt to the new configuration imposed by the external strain. The active model proposed by Muñoz has been generalized to two-dimensional/three-dimensional continuum models [111] and also integrated into discrete models such as cell-centred [112], vertex [113] and cell-centred/vertex hybrid [109,110] approaches. By incorporating a porosity parameter representing the density of polymers in the cell cytoskeleton, the continuum model proposed by Asadipour et al can also replicate the immediate fluidization in cells in response to transient strains and the subsequent gradual stiffening [111].…”
Section: Model Proposed By Muñoz Et Almentioning
confidence: 99%
“…On the other hand, for Muñoz's active element, the inelastic part of the external power will be used to overcome the resistance of the cytoskeleton filaments γ to adapt to the new configuration imposed by the external strain. The active model proposed by Muñoz has been generalized to two-dimensional/three-dimensional continuum models [111] and also integrated into discrete models such as cell-centred [112], vertex [113] and cell-centred/vertex hybrid [109,110] approaches. By incorporating a porosity parameter representing the density of polymers in the cell cytoskeleton, the continuum model proposed by Asadipour et al can also replicate the immediate fluidization in cells in response to transient strains and the subsequent gradual stiffening [111].…”
Section: Model Proposed By Muñoz Et Almentioning
confidence: 99%
“…where γ is the remodelling rate, and ε is the elastic strain used in (7). It has been previously shown that such a rheological model reproduces Maxwell viscoelastic behaviour [27], and that it can be employed to simulate tissue fluidisation [4,20] or cell cortex response in embryogenesis [10,12]. Since cells exhibit inherent contractility exerted at the cortex cross-linked structure [31], we modify the evolution law in (9) aṡ…”
Section: Rheological Modelmentioning
confidence: 99%
“…where γ is the remodelling rate, and ε is the elastic strain used in (7). It has been 111 previously shown that such a rheological model reproduces Maxwell viscoelastic 112 behaviour [16], and that it can be employed to simulate tissue fluidisation [19,26] or cell 113 cortex response in embryogenesis [17,27].…”
Section: Rheological Model 110mentioning
confidence: 99%
“…However, both medial and junctional 25 cortices are differentiated in conjunction with a viscoelastic rheological model. 26 The tailored vertex model and the comparison with the experimental rate of tissue 27 recoil will enable us to calibrate the material viscoelastic properties. The employed 28 rheological model resorts to a Maxwell-like viscous model where the rest-length is able 29 to dynamically adapt [16].…”
mentioning
confidence: 99%