Cell resolved, multiparticle model of plastic tissue deformations and morphogenesis

@article{Czirk2014CellRM,
  title={Cell resolved, multiparticle model of plastic tissue deformations and morphogenesis},
  author={Andr{\'a}s Czir{\'o}k and Dona G. Isai},
  journal={Physical Biology},
  year={2014},
  volume={12}
}
We propose a three-dimensional mechanical model of embryonic tissue dynamics. Mechanically coupled adherent cells are represented as particles interconnected with elastic beams which can exert non-central forces and torques. Tissue plasticity is modeled by a stochastic process consisting of a connectivity change (addition or removal of a single link) followed by a complete relaxation to mechanical equilibrium. In particular, we assume that (i) two non-connected, but adjacent particles can form… 

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References

SHOWING 1-10 OF 44 REFERENCES

Modelling the compression and reorganization of cell aggregates.

The elasto-visco-plastic model proposed in Preziosi et al. (2010) is extended, taking into account the liquid constituent present in cellular spheroids, to describe uniaxial homogeneous compression both when a constant load is applied and when a fixed deformation is imposed and subsequently released.

A Multiphase Model of Tumour and Tissue Growth Including Cell Adhesion and Plastic Re-organisation

The main aim of the paper is to embed the experimental results recently obtained studying the detachment force of single adhesion bonds in a multiphase model developed in the framework of mixture theory, to describe the dependence of some crucial terms appearing in the PDE model on the sub-cellular dynamics involving the density of bonds on the membrane, the probability of bond rupture and the rate of bond formation.

An elasto-visco-plastic model of cell aggregates.

Viscoelastic properties of living embryonic tissues: a quantitative study.

COMPUCELL, a multi-model framework for simulation of morphogenesis

This work uses CompuCell, a multi-model software framework for simulation of the development of multicellular organisms known as morphogenesis, to simulate the formation of the skeletal architecture in the avian limb bud.

Towards a unified theory for morphomechanics

  • L. Taber
  • Biology
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2009
A general principle for the mechanics of morphogenesis is proposed, as governed by a pair of evolution equations based on feedback from tissue stress, which can capture a relatively wide range of behaviours observed in developing embryos.

Vertex models of epithelial morphogenesis.

Nature and anisotropy of cortical forces orienting Drosophila tissue morphogenesis

It is shown that anisotropy of cortical tension at apical cell junctions is sufficient to drive tissue elongation in Drosophila melanogaster embryos, and the contribution of subcellular tensile activity polarizing junction remodelling and the permissive role of vertex fluctuations during tissues elongation is delineated.

Fluidization of tissues by cell division and apoptosis

A continuum description of tissue dynamics is developed, which describes the stress distribution and the cell flow field on large scales and shows that the tissue effectively behaves as a viscoelastic fluid with a relaxation time set by the rates of division and apoptosis.