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• W2005280995 abstract "In this paper, we develop a general framework for the morphogenesis of unicellular algae wall in parallel with the well-known problem of dendritic growth. The dynamics of the boundary are essentially determined by the following law: If the corresponding curve is parametrized by points moving with the cell wall particles, the relative elongation rate of the boundary is a function of the curvature and its second derivative. An additional local relation, compatible with experimental data on velocity measurements of small resin spheres fixed on the cell wall is taken to determine the tangential velocity of the cell wall particles. A morphological instability of the growing circle is found which is compared to the well-known Mullins-Sekerka instability responsible for microstructures formation in dendritic growth. Finally, a table summarizes the duality that one can expect between growth of a physical object, a crystal and the growth of a living system, a unicellular alga." @default.
• W2005280995 created "2016-06-24" @default.
• W2005280995 creator A5017350777 @default.
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• W2005280995 date "1992-05-01" @default.
• W2005280995 modified "2023-09-28" @default.
• W2005280995 title "Geometrical approach to the morphogenesis of unicellular algae" @default.
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• W2005280995 doi "https://doi.org/10.1016/s0022-5193(05)80673-3" @default.
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