A 3D finite element model of ventral furrow invagination in the Drosophila melanogaster embryo

Conte, Vito; Muñoz, José J.; Miodownik, Mark

doi:10.1016/j.jmbbm.2007.10.002

Cited by 75 publications

(89 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It is the combination of these mechanically necessary passive cell shape changes with the imposed active cell shape changes that determines the global shape change of the embryo. The mathematical description and our implementation can be found in detail in our other publications (Muñoz et al 2007, Conte et al 2008.…”

Section: Methodsmentioning

confidence: 99%

“…This second change in cell shape has been proposed to constitute the final push that drives furrow internalization (Costa et al 1993, Leptin 1995. Additionally, it has been suggested by a number of authors that the lateral and dorsal ectodermal cells could help to drive ventral furrow invagination by pushing laterally on the sides of the prospective mesoderm; facilitating inward buckling and reinforcing internalization of the ventral furrow (Costa et al 1993, Leptin 1995, Muñoz et al 2007, Conte et al 2008.…”

mentioning

confidence: 99%

“…We have recently developed a 2D and 3D FEM model of ventral furrow formation in Drosophila melanogaster (Muñoz et al 2007, Conte et al 2008. This analysis showed that apical constriction within the ventral domain alone is not sufficient to drive internalization of the furrow, and it revealed the potential importance of apical-basal shortening outside of the ventral domain in furrow formation.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Robust mechanisms of ventral furrow invagination require the combination of cellular shape changes

Conte¹,

Muñoz²,

Baum³

et al. 2009

Phys. Biol.

View full text Add to dashboard Cite

Ventral furrow formation in Drosophila is the first large-scale morphogenetic movement during the life of the embryo, and is driven by co-ordinated changes in the shape of individual epithelial cells within the cellular blastoderm. Although many of the genes involved have been identified, the details of the mechanical processes that convert local changes in gene expression into whole-scale changes in embryonic form remain to be fully understood. Biologists have identified two main cell deformation modes responsible for ventral furrow invagination: constriction of the apical ends of the cells (apical wedging) and deformation along their apical-basal axes (radial lengthening/shortening). In this work, we used a computer 2D finite element model of ventral furrow formation to investigate the ability of different combinations of three plausible elementary active cell shape changes to bring about epithelial invagination: ectodermal apical-basal shortening, mesodermal apical-basal lengthening/shortening and mesodermal apical constriction. We undertook a systems analysis of the biomechanical system, which revealed many different combinations of active forces (invagination mechanisms) were able to generate a ventral furrow. Two important general features were revealed. First that combinations of shape changes are the most robust to environmental and mutational perturbation, in particular those combining ectodermal pushing and mesodermal wedging. Second, that ectodermal pushing plays a big part in all of the robust mechanisms (mesodermal forces alone do not close the furrow), and this provides evidence that it may be an important element in the mechanics of invagination in Drosophila.

show abstract

Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Robust mechanisms of ventral furrow invagination require the combination of cellular shape changes

Conte¹,

Muñoz²,

Baum³

et al. 2009

Phys. Biol.

View full text Add to dashboard Cite

show abstract

“…Thus, the passive deformation takes place and the cells react and rearrange themselves by an elastic response of the tissue. In order to consider both deformations, we use the deformation gradient decomposition (Smith, 1993;Rodriguez et al, 1994;Taber, 2007;Barret et al, 2007;Conte et al, 2007;Allena et al, 2010a). Alternative approaches based on active stresses have also been considered (Nobile et al, 2010).…”

Section: Mechanics Of the Embryomentioning

confidence: 99%

“…Several numerical models have been proposed in literature during the last decades (Alberch et al, 1981;Clausi and Brodland, 1994;Davidson et al, 1995;Pouille and Farge, 2007;Barret et al, 2007;Ramasubramamian and Taber, 2008;Conte et al, 2007;Allena et al, 2010a). All these works, whether they are two or three dimensional,…”

Section: First Phase: the Ventral And The Cephalic Furrowmentioning

confidence: 99%

Coupling ALE Technique and Harmonic Parametrization to Describe Concurrent and Successive Elementary Cell Deformations

Allena¹,

Aubry²

2011

MER

View full text Add to dashboard Cite

We present here an extension of our finite element model of the Drosophila embryo to consider the interdependence of successive morphogenetic movements. A novel approach is used, which couples the Arbitrary Lagrangian Eulerian formulation with the harmonicparametrization. The combination of the two techniques allows to constantly update the deforming embryo geometry and simultaneously build an associated system of curvilinear coordinates. Thus, we are able to exactly describe the elementary cell deformations responsible for each biological event that are then defined with respect to the dynamic middle surface of the embryonic tissue and to their relative reference configuration. Both the active and the passive deformations occurring to the cells are considered through the deformation gradient decomposition. We develop a concurrent simulation of three morphogenetic movements: the ventral furrow invagination, the cephalic furrow formation and the germ band extension. The results show a consistent similarity with respect to the physical phenomena. More generally, the numerical approach that we propose could constitute a powerful tool to rigorously describe and simulate complex shape changes in biological systems.

show abstract

Evolved Colloidosomes Undergoing Cell‐like Autonomous Shape Oscillations with Buckling

2016

View full text Add to dashboard Cite

In living systems,t here are many autonomous and oscillatory phenomena to sustain life,s uch as heart contractions and breathing.Atthe microscopic level, oscillatory shape deformations of cells are often observed in dynamic behaviors during cell migration and morphogenesis.I nm any cases, oscillatory behaviors of cells are not simplistic but complex with diverse deformations.S of ar,w eh ave succeeded in developing self-oscillating polymers and gels,b ut complex oscillatory behaviors mimicking those of living cells have yet to be reproduced. Herein, we report ac ell-like hollows phere composed of self-oscillating microgels,that is,acolloidosome, that exhibits drastic shape oscillation in addition to swelling/ deswelling oscillations driven by an oscillatory reaction. The resulting oscillatory profile waveform becomes markedly more complex than ac onventional one.E specially for larger colloidosomes,m ultiple buckling and moving buckling points are observed to be analogous to cells.One exciting challenge in materials science is to mimic living systems that undergo autonomous and dynamic changes under conditions far from equilibrium, by only using synthetic materials.A utonomous phenomena involving oscillatory dynamics can easily be observed as significant characteristics of living systems,s uch as heart contractions, breathing, and circadian rhythms.[1] At the microscopic level, cells act dynamically,a nd they often change their structures and shapes in pulsatile or oscillatory manners.[2] Recent image analysis developments with high spatio-temporal resolution have revealed the existence of oscillatory shape deformations during cellular dynamics such as cytokinesis, [3] cell migration, [4][5][6] and morphogenesis. [7,8] To realize autonomous oscillatory behaviors that exist in living systems by using synthetic materials,w eh ave developed "self-oscillating" gels which exhibit autonomous periodic swelling/deswelling changes driven by an oscillatory chemical reaction.[9] Recently,s elf-oscillating material systems are evolving,and we have reported several types of selfoscillating polymeric materials such as tubular self-oscillating gels, [10,11] self-oscillating polymer brushes, [12] and self-oscillating block copolymers. [13][14][15][16][17] In addition to our studies,o ther groups have also reported self-oscillating polymer materials. [18][19][20][21][22] In these material systems,t he observed oscillatory profiles are rather simple,r eflecting monotonic swelling/ deswelling or hydration/dehydration;h owever,b iological systems not only have simple oscillation, but also more complex oscillatory behaviors.F or example,i nt he nervous systems,many oscillatory profiles of brain activity accompany complex waveforms with several maxima and minima of varying amplitudes.[23] Also,c omplex shape oscillations of cells are observed in vitro [24] as well as in vivo. To reconcile the differences between materials and biological systems,w eh ave fabricated self-oscillating celllike hollow spheres that exhibit complex...

show abstract

A 3D finite element model of ventral furrow invagination in the Drosophila melanogaster embryo

Cited by 75 publications

References 26 publications

Robust mechanisms of ventral furrow invagination require the combination of cellular shape changes

Robust mechanisms of ventral furrow invagination require the combination of cellular shape changes

Coupling ALE Technique and Harmonic Parametrization to Describe Concurrent and Successive Elementary Cell Deformations

Evolved Colloidosomes Undergoing Cell‐like Autonomous Shape Oscillations with Buckling

Contact Info

Product

Resources

About