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==<span style="color:Navy;">Reaction-diffusion and morphogenesis - the growth of shapes== | ==<span style="color:Navy;">Reaction-diffusion and morphogenesis - the growth of shapes== | ||
Revision as of 13:10, 25 November 2013
Bangham at UEA
Computational biology toolboxes
Growing complex biological shapes from patterns of gene expression
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Viewing three dimensional images
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Analysing shapes: faces, leaves and flowers
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Seen the origional paintings? Do they exist?.
Algorithms
MSER's, extrema, Connected-set filters, Sieves and Scale-space
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Reaction-diffusion and morphogenesis - the growth of shapes
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In 1952 Alan Turing proposed The chemical basis of Morphogenesis - "... suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis. Such a system, although it may originally be quite homogeneous, may later develop a pattern or structure due to an instability of the homogeneous equilibrium, which is triggered off by random disturbances. ..." Such patterning is now widely known. However, the morphogenesis element of the story has been less widely explored - here we illustrate the process using GFtbox - but also see: plant meristemreview related plant stuff
Two chemical substances react and diffuse to dynamically develop a pattern of spots (top row). We have added two simple growth rules (based on our hypotheses on the growth of shapes) to dynamically translate the pattern into a pattern of growth (bottom row). The changing geometry arising through growth which in turn feeds back on the reaction-diffusion system to modulate patterning. One of the morphogenesis rules uses the chemical concentration gradient to set the axes for anisotropic growth (arrows in third panel).
This model was featured in a video interview exhibit in the London Science Museum 'Codebreakers' exhibition Codebreakers.
More details on reaction-diffusion and morphogenesis