The present manuscript is devoted to two works related to the spontaneous formation of patterns in Nature: venation in leaves and evolution of embryos. Morphogenetic processes and growth-induced instability phenomena are modelled through analogue experiments. The organization of veins in leaves is similar to what is expected from growth in a tensorial stress field that governs the formation of fractures, while the change in the shape of embryos is related to the deformation of a shell-like membrane whose properties evolve with time. The approaches resulting from analogue experiments is a way to explore specific properties of the media at a macroscopic scale. Thus the manuscript aims to focus on the analogue experiments, their adaptability to reproduce specific patterns and the relation between both growth-induced instability and mechanical behaviour of the matter.
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@article{CRMECA_2020__348_6-7_637_0,
author = {Ludovic Pauchard},
title = {Morphogenetic processes: from leaves to~embryos},
journal = {Comptes Rendus. M\'ecanique},
pages = {637--648},
publisher = {Acad\'emie des sciences, Paris},
volume = {348},
number = {6-7},
year = {2020},
doi = {10.5802/crmeca.33},
language = {en},
}
Ludovic Pauchard. Morphogenetic processes: from leaves to embryos. Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 637-648. doi : 10.5802/crmeca.33. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.33/
[1] Viscous Fingering in a Circular Geometry, Random Fluctuations and Pattern Growth: Experiments and Models (H. E. Stanley; N. Ostrowsky, eds.) (Nato Science Series E), Springer Netherlands, 1988, 75 pages | DOI
[2] Damage and fluctuations induce loops in optimal transport networks, Phys. Rev. Lett., Volume 104 (2010) (048704) | DOI
[3] Mechanical stress induces remodeling of vascular networks in growing leaves, PLoS Comput. Biol., Volume 12 (2016) no. 4 (e1004819) | DOI
[4] The leaf venation as formed in a tensorial field, Eur. Phys. J. B, Volume 28 (2002), pp. 135-138 | DOI
[5] L’empreinte de l’histoire dans la géométrie des réseaux bidimensionnels, PhD thesis, Université Paris 7 (2003)
[6] Hierarchical crack pattern as formed by successive domain divisions. Part I: Temporal and geometrical hierarchy, Phys. Rev. E, Volume 71 (2005) (046214)
[7] Invagination during the collapse of an inhomogeneous spheroidal shell, Europhys. Lett., Volume 66 (2004) no. 5, p. 667 | DOI
[8] Morphologies resulting from the directional propagation of fractures, Phys. Rev. E, Volume 67 (2003) no. 2 (027103) | DOI
[9] Regular patterns of cracks formed by directional drying of a collodial suspension, Phys. Rev. Lett., Volume 74 (1995), p. 2981 | DOI
[10] Influence of salt content on crack patterns formed through colloidal suspension desiccation, Phys. Rev. E, Volume 59 (1999) no. 3, p. 3737 | DOI
[11] Constitutive property of the local organization of leaf venation networks, Phys. Rev. E, Volume 65 (2002) (061914) | DOI
[12] Viscous fingering as an archetype for growth patterns, Perspectives in Fluid Dynamics (G. K. Batchelor; H. K. Moffatt; M. G. Worster, eds.), Cambridge University Press, 2000, 53104 pages (Ch. 2)
[13] The phenomena of rupture and flow in solids, Phil. Trans. R. Soc. Lond. A, Volume 221 (1921), pp. 582-593
[14] From craquelures to spiral crack patterns: influence of layer thickness on the crack patterns induced by desiccation, Soft Matter, Volume 7 (2011), pp. 2552-2559 | DOI
[15] An experimental study of cracking induced by desiccation, Europhys. Lett., Volume 25 (1994) no. 6, pp. 415-420
[16] Universal scaling of polygonal desiccation crack patterns, Phys. Rev. E, Volume 99 (2019), 012802 | DOI
[17] Edge effects in thin film delamination, Acta Mater., Volume 49 (2001), pp. 93-107
[18] Patterns caused by buckle-driven delamination in desiccated colloidal gels, Europhys. Lett., Volume 74 (2006) no. 1, pp. 188-194 | DOI
[19] Hierarchical crack patterns: a comparison with two-dimensional soap foams, Colloids Surfaces A: Physicochem. Eng. Aspects, Volume 263 (2004), pp. 46-51 | DOI
[20] Tessalated pavements in the Sydney region, New South Wales, J. Proc. R. Soc. New South Wales, Volume 126 (1993), p. 63
[21] Nonequilibrium scale selection mechanism for columnar jointing, Proc. Natl Acad. Sci. USA, Volume 106 (2009) no. 2, pp. 387-392 | DOI
[22] Shrinkage star-shaped cracks: Explaining the transition from 90 degrees to 120 degrees, Europhys. Lett., Volume 89 (2010), p. 26002 | DOI
[23] A scanning electron micrographical overview of cellular and extracellular patterns during blastulation and gastrulation in the sea urchin, Lytechinus variegatus, The Cellular and Molecular Biology of Invertebrates Development (R. H. Sawyer; R. M. Showman, eds.), University of South Carolina Press, Columbia, SC, 1985, 333 pages
[24] Simple model of skin formation caused by solvent evaporation in polymer solutions, Phys. Rev. Lett., Volume 97 (2006), pp. 136103-136106 | DOI
[25] Structuration of the surface layer during drying of colloidal dispersions, Langmuir, Volume 37 (2019) no. 7, pp. 2692-2701 | DOI
[26] The buckling and invagination process during consolidation of colloidal droplets, Soft Matter, Volume 9 (2013), pp. 750-757 | DOI
[27] Experimental studies of the buckling of complete spherical shells, Exp. Mech., Volume 7 (1967), pp. 281-288 | DOI
[28] Drying colloidal systems: Laboratory models for a wide range of applications, Eur. Phys. J. E, Volume 41 (2018) no. 8, p. 94 | DOI
[29] Influence of manufacturing parameters on the crackling process of ancient chinese glazed ceramics, J. Cultural Heritage, Volume 16 (2015) no. 4, pp. 401-412 | DOI
[30] Painting cracks: A way to investigate the pictorial matter, J. Appl. Phys., Volume 120 (2016) no. 6 (065107) | DOI
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