Distribution and propagation of mechanical stress in simulated structurally heterogeneous tissue spheroids

Cuvelier, Maxim; Pešek, Jiřı́; Papantoniou, Ioannis; Ramón, Herman; Smeets, Bart

doi:10.1039/d0sm02033h

Cited by 8 publications

(9 citation statements)

References 51 publications

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“…As our simulations were able to reproduce experimentally observed scaling of τ t , see Fig. 2D, we conclude that our implementation of the furrow ingression model, in combination with a viscous cortical shell model [32][33][34], provided an adequate meso-scale description of the dynamics of cell shape during cytokinesis. We performed a March 15, 2022 4/14 sensitivity analysis, see S2, to assess the influence of the surface tension (γ M ) and viscosity (η) of the cortex during mitotic rounding, relative to the stiffness of the contractile ring k el .…”

Section: Furrow Ring Dynamics and Cytokinesis Durationsupporting

confidence: 65%

“… A : Schematic representation of a dividing cell. Triangulated surface meshes are used to represent the viscous cortical shell with thickness t , passive mechanical properties (viscosity η ) and active mechanics (contractility γ and bulk modulus K ′) [33, 34]. Distinction is made between interphase γ I and mitotic surface tension γ M , fixing γ I = γ M / 3.…”

Section: Resultsmentioning

confidence: 99%

“…Cell volume is conserved using an apparent bulk modulus K . For simulation of multicellular C. elegans development, adhesive cell-cell and cell-egg contact with adhesion energy w (assumed γ) and wet friction constant ξ is implemented [32][33][34]. A full mechanical description of the model can be found in S1.…”

Section: Modelsmentioning

confidence: 99%

“…We present a novel computational model of cytokinesis based on an existing Deformable Cell Model (DCM) [32][33][34][35]. In the DCM, the cell cortex is approximated as a viscous shell under surface tension and cell-cell interactions are takes into account through adhesion forces.…”

Section: Introductionmentioning

confidence: 99%

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Stability of asymmetric cell division under confinement: A deformable cell model of cytokinesis applied to C. elegans development

Cuvelier

Thiels

Jelier

et al. 2022

Preprint

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Cell division during early embryogenesis has been linked to key morphogenic events such as embryo symmetry breaking and tissue patterning. It is thought that boundary conditions together with cell intrinsic cues act as a mechanical “mold”, guiding cell division to ensure these events are more robust. We present a novel computational mechanical model of cytokinesis, the final phase of cell division, to investigate how cell division is affected by mechanical and geometrical boundary conditions. The model reproduces experimentally observed furrow dynamics and predicts the volume ratio of daughter cells in asymmetric cell divisions based on the position and orientation of the mitotic spindle. We show that the orientation of confinement relative to the division axis modulates the volume ratio in asymmetric cell division and quantified the mechanical contribution of cortex mechanics, relative to the mechanical properties of the furrow ring. We apply this model to early C. elegans development, which proceeds within the confines of an eggshell, and simulate the formation of the three body axes via sequential (a)symmetric divisions up until the six cell stage. We demonstrate that spindle position and orientation alone can be used to predict the volume ratio of daughter cells during the cleavage phase of development. However, for compression perturbed egg geometries, the model predicts that the change in confinement alone is insufficient to explain experimentally observed differences in cell volume, inferring an unmodeled underlying spindle positioning mechanism. Finally, the model predicts that confinement stabilizes asymmetric cell divisions against bubble-instabilities, which can arise due to elevated mitotic cortical tension.

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Section: Furrow Ring Dynamics and Cytokinesis Durationsupporting

confidence: 65%

Section: Resultsmentioning

confidence: 99%

Section: Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability of asymmetric cell division under confinement: A deformable cell model of cytokinesis applied to C. elegans development

Cuvelier

Thiels

Jelier

et al. 2022

Preprint

Self Cite

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“…From a computational perspective, there has been a growing attention to the simulation of the dynamics of fluid interfaces both with prescribed [43][44][45][46] and with time-evolving shape [41,42,[47][48][49][50][51][52][53]. In addition, recent discrete deformable cell models have described cellular aggregates by representing cells by triangular meshes with viscoelastic edges [54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Interacting active surfaces: A model for three-dimensional cell aggregates

2022

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We introduce a modelling and simulation framework for cell aggregates in three dimensions based on interacting active surfaces. Cell mechanics is captured by a physical description of the acto-myosin cortex that includes cortical flows, viscous forces, active tensions, and bending moments. Cells interact with each other via short-range forces capturing the effect of adhesion molecules. We discretise the model equations using a finite element method, and provide a parallel implementation in C++. We discuss examples of application of this framework to small and medium-sized aggregates: we consider the shape and dynamics of a cell doublet, a planar cell sheet, and a growing cell aggregate. This framework opens the door to the systematic exploration of the cell to tissue-scale mechanics of cell aggregates, which plays a key role in the morphogenesis of embryos and organoids.

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A 0D Additive for Flexible All‐Inorganic Perovskite Solar Cells to Go Beyond 60 000 Flexible Cycles

Liu

Han

et al. 2023

Advanced Materials

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All‐inorganic cesium lead halide flexible perovskite solar cells (f‐PSCs) exhibit superior thermal stability compared to their organic–inorganic hybrid counterparts. However, their flexibility and efficiency are still below‐par for practical viability. Herein, a design using a 0D Cs4Pb(IBr)6 additive to transform tensile stress into compressive stress in the perovskite film, effectively preventing expansion of cracks for significantly improved mechanical durability, is reported. It is found that not only is improved flexibility obtained, but also the cell efficiency is increased for the all‐inorganic flexible 3D CsPbI3−xBrx solar cells. The CsPbI2.81Br0.19 f‐PSC retains over 97% of its initial efficiency even after 60 000 flexing cycles at a curvature radius of 5 mm (R = 5 mm). Simultaneously, 0D Cs4Pb(IBr)6 enhances the crystallinity of the CsPbI2.81Br0.19 film and passivates the defects along the grain boundaries, effectively improving the photovoltaic performance of the all‐inorganic f‐PSCs. The highest power‐conversion efficiency obtained is 14.25% with a short‐circuit current density of 18.47 mA cm−2, open‐circuit voltage of 1.09 V, and fill factor of 70.67%. This strategy paves the way for further improvement of the mechanical durability of all‐inorganic f‐PSCs.

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Distribution and propagation of mechanical stress in simulated structurally heterogeneous tissue spheroids

Abstract: We unravel how mechanical stress heterogeneity and core-periphery asymmetry in tissue spheroids are modulated by their granular micro-structure, by means of simulations with a deformable cell model.

Cited by 8 publications

References 51 publications

Stability of asymmetric cell division under confinement: A deformable cell model of cytokinesis applied to C. elegans development

Stability of asymmetric cell division under confinement: A deformable cell model of cytokinesis applied to C. elegans development

Interacting active surfaces: A model for three-dimensional cell aggregates

A 0D Additive for Flexible All‐Inorganic Perovskite Solar Cells to Go Beyond 60 000 Flexible Cycles

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