Effect of cellular rearrangement time delays on the rheology of vertex models for confluent tissues

Erdemci-Tandogan, Gonca; Manning, M. Lisa

doi:10.1371/journal.pcbi.1009049

Cited by 20 publications

(14 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that we have not yet incorporated a mechanism to prevent back-and-forth reconnection events. Recent work implements such a mechanism in two dimensions [44,45] . We measure Q n (t) for the bulk system for different target shape parameters, averaging over 20 realizations.…”

Section: Resultsmentioning

confidence: 99%

Boundary-bulk patterning in three-dimensional confluent cellular collectives

Zhang¹,

M.²

2022

Preprint

View full text Add to dashboard Cite

Organoids are in vitro cellular collectives from which brain-like, or gut-like, or kidney-like structures emerge. To make quantitative predictions regarding the morphology and rheology of a cellular collective in its initial stages of development, we construct and study a three-dimensional vertex model. In such a model, the cells are represented as deformable polyhedrons with cells sharing faces such that there are no gaps between them, otherwise known as confluent. In a bulk model with periodic boundary conditions, we find a rigidity transition as a function of the target cell shape index s 0 with a critical value s * 0 = 5.39±0.01. For a confluent cellular collective with a finite boundary, and in the presence of lateral extensile and in-plane, radial extensile deformations, we find significant boundary-bulk patterning that is one-cell layer thick. More specifically, for lateral extensile deformations, the cells in the bulk are much less aligned with the direction of the lateral deformation than the cells at the boundary. For in-plane, radial deformations, the cells in the bulk exhibit much less reorientation perpendicular to the radial direction than the cells at the boundary. In other words, for both deformations, the bulk cells are insulated from the deformations, at least over time scales much slower than the timescale for cellular rearrangements. Our results provide an underlying mechanism for some observed cell shape patterning in organoids. Finally, we discuss the use of a cellular-based approach to designing organoids with new types of morphologies to study the intricate relationship between structure and function at the multi-cellular scale.

show abstract

Section: Resultsmentioning

confidence: 99%

Boundary-bulk patterning in three-dimensional confluent cellular collectives

Zhang¹,

M.²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Furthermore, at this balance point, a biological tissue could be capable of changing rapidly to one of the two steady states with orthogonal shear axis if the balance between the opposing activities is lost. Recent work has proposed more detailed descriptions of T1 transitions, including delay [ 53 ] or nonlinear dynamics [ 54 ]. While we expect the qualitative picture studied in this manuscript to be rather robust, it will be interesting to study the role of such nonlinear or delayed T1 transitions in the anisotropic active processes discussed here.…”

Section: Discussionmentioning

confidence: 99%

Active T1 transitions in cellular networks

et al. 2022

View full text Add to dashboard Cite

In amorphous solids as in tissues, neighbor exchanges can relax local stresses and allow the material to flow. In this paper, we use an anisotropic vertex model to study T1 rearrangements in polygonal cellular networks. We consider two different physical realizations of the active anisotropic stresses: (i) anisotropic bond tension and (ii) anisotropic cell stress. Interestingly, the two types of active stress lead to patterns of relative orientation of T1 transitions and cell elongation that are different. Our work suggests that these two realizations of anisotropic active stresses can be observed in vivo. We describe and explain these results through the lens of a continuum description of the tissue as an anisotropic active material. We furthermore discuss the energetics of the dynamic tissue and express the energy balance in terms of internal elastic energy, mechanical work, chemical work and heat. This allows us to define active T1 transitions that can perform mechanical work while consuming chemical energy. Graphic abstract

show abstract

“…The dependence on molecular processes to alter intercellular connections within the tissue dictates the timescale for tissue-level changes in terms of solid-like and fluid-like states ( Bénazéraf et al, 2010 ; Bi et al, 2015 ; Mongera et al, 2018 ; Petridou et al, 2019 ; reviewed by Petridou and Heisenberg, 2019 ; Lenne and Trivedi, 2021 ). In confluent monolayers, the relative magnitudes of molecular-scale T1 delay [the time a cell needs to execute the molecular processes for neighbour exchanges (T1 transition)] and the cell-scale collective response timescale render the tissue elastic-like or fluid-like and thereby dictate the cellular patterns ( Erdemci-Tandogan and Manning, 2021 ).…”

Section: Connecting Fates Forces and Flows: Bridging Local And Global Scales In Stembryosmentioning

confidence: 99%

Sculpting with stem cells: how models of embryo development take shape

et al. 2021

View full text Add to dashboard Cite

During embryogenesis, organisms acquire their shape given boundary conditions that impose geometrical, mechanical and biochemical constraints. A detailed integrative understanding how these morphogenetic information modules pattern and shape the mammalian embryo is still lacking, mostly owing to the inaccessibility of the embryo in vivo for direct observation and manipulation. These impediments are circumvented by the developmental engineering of embryo-like structures (stembryos) from pluripotent stem cells that are easy to access, track, manipulate and scale. Here, we explain how unlocking distinct levels of embryo-like architecture through controlled modulations of the cellular environment enables the identification of minimal sets of mechanical and biochemical inputs necessary to pattern and shape the mammalian embryo. We detail how this can be complemented with precise measurements and manipulations of tissue biochemistry, mechanics and geometry across spatial and temporal scales to provide insights into the mechanochemical feedback loops governing embryo morphogenesis. Finally, we discuss how, even in the absence of active manipulations, stembryos display intrinsic phenotypic variability that can be leveraged to define the constraints that ensure reproducible morphogenesis in vivo.

show abstract

Effect of cellular rearrangement time delays on the rheology of vertex models for confluent tissues

Cited by 20 publications

References 45 publications

Boundary-bulk patterning in three-dimensional confluent cellular collectives

Boundary-bulk patterning in three-dimensional confluent cellular collectives

Active T1 transitions in cellular networks

Sculpting with stem cells: how models of embryo development take shape

Contact Info

Product

Resources

About