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| [[Image:tentacles_morphogenesis.png|600px]] | | [[Image:tentacles_morphogenesis.png|600px]] |
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| [[Software#Reaction-diffusion and morphogenesis|<span style="color:Green;">'''MORE'''</span>]]<br><br>
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| In 1952 Alan Turing proposed [http://rstb.royalsocietypublishing.org/content/237/641/37.abstract 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 [http://en.wikipedia.org/wiki/Reaction%E2%80%93diffusion_system widely known]. However, the morphogenesis element of the story has been less widely explored - here we illustrate the process using ''GFtbox'' - but also see: [http://www.sciencedirect.com/science/article/pii/S1360138507000611 plant meristem][http://home.thep.lu.se/~henrik/mnxa09/Jonsson2012.pdf review related plant stuff]
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| Two chemical substances react and diffuse to dynamically develop a pattern of spots (top row). We have added two simple growth rules ([http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002071 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).
| | [[Software#Reaction-diffusion and morphogenesis|<span style="color:Navy;">MORE</span>]]<br><br> |
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| This model was featured in a video interview exhibit in the London Science Museum 'Codebreakers' exhibition [http://www.sciencemuseum.org.uk/visitmuseum/galleries/turing.aspx Codebreakers]. <br>
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| [[Software#Reaction-diffusion and morphogenesis|<span style="color:Navy;">More details on reaction-diffusion and morphogenesis</span>]]<br><br> | |
Revision as of 13:11, 25 November 2013
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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