A bio-chemo-mechanical model for cell contractility

Abstract

CorrectionsNEUROSCIENCE. For the article ''A molecular neuroethological approach for identifying and characterizing a cascade of behaviorally regulated genes,''

A thermodynamically motivated model for stress-fiber reorganization

“…However, these models are typically unable to account for the full range of observations. For example, the models of Deshpande et al (2006) and Vernerey and Farsad (2011) accurately predict the strain avoidance for the cyclic response of cells on 2D substrates but cannot model the alignment of the stress-fibers with the imposed strain in 3D. On the other hand, the model proposed by Obbink-Huizer et al (2014) is able to account for the cyclic response of cells in both the 2D and 3D settings by including a strain dependence in the stress-fiber kinetics.…”

Prediction of Cell Alignment on Cyclically Strained Grooved Substrates

“…This would then enable the refinement of our model assumption and numerical predictions. In addition, although some interaction between the different orientations of stress fibers is likely to occur, we ignored these interactions in this study, as this phenomenon was assumed negligible in the original model of Deshpande et al (35). Considering the capability of this model in capturing many cellular behaviors, we decided not to modify its assumptions in our study, although it could still be a subject of future work.…”

“…12 with an evolution law for the activation level of SFs h, where we define this term as the ratio of the concentration of polymerized actin and phosphorylated myosin within a SF bundle to the maximum concentration permitted by biochemistry. The evolution law for h proposed by Deshpande et al (35) was derived assuming that h increases proportionally with the concentration of ROCK, while SF dissociation is initiated when SF stress differs from an isometric value: _ hðx; 4; tÞ ¼ k f C N ðxÞ½1 À hðx; 4; tÞ À k b ½1 À sðx; 4; tÞ=s 0 ðx; 4; tÞ hðx; 4; tÞ; (13) where 4 is the angle between the SF direction and x 1 (Fig. 1); k f and k b are parameters for the forward and backward rates, respectively; s is the current SF stress; and s 0 ¼ s max h is the isometric SF stress (with s max maximum SF stress).…”

“…Several mathematical models have been proposed to explain the remodeling of SFs and predict their interaction with the cellular surroundings (35)(36)(37)(38). In 2006, Deshpande et al (35) introduced a bio-chemo-mechanical model to predict the effects of cyclic strain on SFs, and therefore give a possible explanation for the phenomenon of SA (39).…”

“…In 2006, Deshpande et al (35) introduced a bio-chemo-mechanical model to predict the effects of cyclic strain on SFs, and therefore give a possible explanation for the phenomenon of SA (39). In their study, they proposed that SFs tend to establish a homeostatic equilibrium with their surroundings, and this leads to the final SF organization.…”