Wound healing is characterised by the re-epitheliation of a tissue through the activation of contractile forces concentrated mainly at the wound edge. While the formation of an actin purse string has been identified as one of the main mechanisms, far less is known about the effects of the viscoelastic properties of the surrounding cells, and the different contribution of the junctional and cytoplasmic contractilities.In this paper we simulate the wound healing process, resorting to a hybrid vertex model that includes cell boundary and cytoplasmatic contractilities explicitly, together with a differentiated viscoelastic rheology based on an adaptive rest-length. From experimental measurements of the recoil and closure phases of wounds in the Drosophila wing disc epithelium, we fit tissue viscoelastic properties. We then analyse in terms of closure rate and energy requirements the contributions of junctional and cytoplasmatic contractilities.Our results suggest that reduction of junctional stiffness rather than cytoplasmatic stiffness has a more pronounced effect on shortening closure times, and that intercalation rate has a minor effect on the stored energy, but contributes significantly to shortening the healing process, mostly in the later stages.
Author summaryWe simulate the wound healing process of epithelia in the absence of substrate. By analysing the recoil process we are able to fit the viscoelastic properties of the monolayer, and study the influence of contractility at junctions and at the interior polymer network. We numerically simulate the whole wound opening and closure process, and inspect which mechanism has a more pronounced effect in terms of energy barrier and wound closure rate. We conclude that while junctional stiffness seems to be more effective than bulk stiffness at speeding up the closure, the increase of intercalation process is the mechanism with the lowest energy cost. February 17, 2020 1/17 1 Wound healing is a fundamental process for maintaining integrity and functionality 2 in epithelia, tissues, and organisms [1]. The most accepted mechanisms for wound 3 closure are Rac-dependent crawling using cell protrusions [2], and the formation of a 4 contractile supra-cellular actomyosin cable at the wound edge (purse-string 5 mechanism) [3]. However, in embryonic and larval tissues, either the elastic substrate is 6not present or no crawling has been observed. In these cases, the first mechanism is 7 absent and closure relies mostly on the actomyosin cable and cell-cell interactions [4], 8 which is the focus of our study in this article.
9Extensive analyses have reported the key mechanical factors affecting wound closure. 10 The effects of myosin heterogeneity [5,6], purse-string assembly rate [6], or tissue 11 fluidity [4] have been studied. However, far less is known about the contribution of 12 junctional and cell medial contractility and stiffness during closure, and the energy 13 barrier that they may impose during the intercalation process. We here simulate 14 wounding of the Drosoph...