Elasticity and glocality: initiation of embryonic inversion in
            <i>Volvox</i>

Haas, Pierre A.; Goldstein, Raymond E.

doi:10.1098/rsif.2015.0671

Cited by 26 publications

(43 citation statements)

References 29 publications

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“…The model shows that changes in the curvature of the cell sheet are not enough to explain Type B inversion; contraction of the posterior and expansion of the anterior hemisphere are also needed. Pierre Haas (University of Cambridge) presented a mathematical model of the biomechanics of inversion, which revealed a complex interplay between local changes in cell shape and global geometric constraints imposed by the deformation of an elastic sphere (Haas & Goldstein ).…”

Section: Development and Evolution Of Complex Traitsmentioning

confidence: 99%

Origins of multicellular complexity: Volvox and the volvocine algae

Herron

2016

Molecular Ecology

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The collection of evolutionary transformations known as the 'major transitions' or 'transitions in individuality' resulted in changes in the units of evolution and in the hierarchical structure of cellular life. Volvox and related algae have become an important model system for the major transition from unicellular to multicellular life, which touches on several fundamental questions in evolutionary biology. The Third International Volvox Conference was held at the University of Cambridge in August 2015 to discuss recent advances in the biology and evolution of this group of algae. Here, I highlight the benefits of integrating phylogenetic comparative methods and experimental evolution with detailed studies of developmental genetics in a model system with substantial genetic and genomic resources. I summarize recent research on Volvox and its relatives and comment on its implications for the genomic changes underlying major evolutionary transitions, evolution and development of complex traits, evolution of sex and sexes, evolution of cellular differentiation and the biophysics of motility. Finally, I outline challenges and suggest future directions for research into the biology and evolution of the volvocine algae.

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Section: Development and Evolution Of Complex Traitsmentioning

confidence: 99%

Origins of multicellular complexity: Volvox and the volvocine algae

Herron

2016

Molecular Ecology

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“…Motivated by numerous long-standing and modern engineering problems, oscillatory motions of cylindrical and spherical shells made of linear elastic material [55,57,58,78] have generated a wide range of experimental, theoretical, and computational studies [5-7, 18, 29]. In contrast, time-dependent finite oscillations of cylindrical tubes and spherical shells of nonlinear hyperelastic material, relevant to the modelling of physical responses in many biological and synthetic systems [3,9,28,[40][41][42]56], have been less investigated, and much of the work in finite nonlinear elasticity has focused on the static stability of pressurised shells [2,17,21,22,24,31,34,36,38,59,70,81,90,111], or on wave-type solutions in infinite media [46,77].…”

Section: Introductionmentioning

confidence: 99%

Likely oscillatory motions of stochastic hyperelastic solids

Mihai

Fitt

Woolley

et al. 2019

Transactions of Mathematics and Its Applications

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Stochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These models allow for the propagation of uncertainties from input data to output quantities of interest. To investigate the effect of probabilistic parameters on predicted mechanical responses, we study radial oscillations of cylindrical and spherical shells of stochastic incompressible isotropic hyperelastic material, formulated as quasi-equilibrated motions where the system is in equilibrium at every time instant. Additionally, we study finite shear oscillations of a cuboid, which are not quasi-equilibrated. We find that, for hyperelastic bodies of stochastic neo-Hookean or Mooney-Rivlin material, the amplitude and period of the oscillations follow probability distributions that can be characterised. Further, for cylindrical tubes and spherical shells, when an impulse surface traction is applied, there is a parameter interval where the oscillatory and non-oscillatory motions compete, in the sense that both have a chance to occur with a given probability. We refer to the dynamic evolution of these elastic systems, which exhibit inherent uncertainties due to the material properties, as "likely oscillatory motions".Key words: stochastic hyperelastic models, dynamic finite strain deformation, quasi-equilibrated motion, finite amplitude oscillations, incompressibility, applied probability."Denominetur motus talis, qualis omni momento temporis t praebet configurationem capacem aequilibrii corporis iisdem viribus massalibus sollicitati, 'motus quasi aequilibratus'. Generatim motus quasi aequilibratus non congruet legibus dynamicis et proinde motus verus corporis fieri non potest, manentibus iisdem viribus masalibus." -C. Truesdell (1962) [103]

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“…carteri cannot complete if actomyosin-mediated contraction is inhibited chemically. We later analysed the mechanics of this competition between bending and stretching in more detail [ 56 ]. The general question of how the different parts of a morphogenetic process relate to each other, however, remained unanswered in this system, too: are the different deformations of either hemisphere during type-B inversion coupled?…”

Section: Introductionmentioning

confidence: 99%

The noisy basis of morphogenesis: Mechanisms and mechanics of cell sheet folding inferred from developmental variability

et al. 2018

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Variability is emerging as an integral part of development. It is therefore imperative to ask how to access the information contained in this variability. Yet most studies of development average their observations and, discarding the variability, seek to derive models, biological or physical, that explain these average observations. Here, we analyse this variability in a study of cell sheet folding in the green alga Volvox, whose spherical embryos turn themselves inside out in a process sharing invagination, expansion, involution, and peeling of a cell sheet with animal models of morphogenesis. We generalise our earlier, qualitative model of the initial stages of inversion by combining ideas from morphoelasticity and shell theory. Together with three-dimensional visualisations of inversion using light sheet microscopy, this yields a detailed, quantitative model of the entire inversion process. With this model, we show how the variability of inversion reveals that two separate, temporally uncoupled processes drive the initial invagination and subsequent expansion of the cell sheet. This implies a prototypical transition towards higher developmental complexity in the volvocine algae and provides proof of principle of analysing morphogenesis based on its variability.

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Elasticity and glocality: initiation of embryonic inversion in Volvox

Cited by 26 publications

References 29 publications

Origins of multicellular complexity: Volvox and the volvocine algae

Origins of multicellular complexity: Volvox and the volvocine algae

Likely oscillatory motions of stochastic hyperelastic solids

The noisy basis of morphogenesis: Mechanisms and mechanics of cell sheet folding inferred from developmental variability

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