linkedin post 2020-12-20 05:52:38

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SO ENDS this first of two weekends focused on patterning in the cone shell family. Fortunately, there are so outstanding virtual collections of cone shells, making actual collections by enthusiasts a thing of the past. These are an enormous source of pattern configurations, beautifully curated, for the mathematician or biologist to study without plundering the reefs. https://lnkd.in/d8vCADd View in LinkedIn
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linkedin post 2020-12-20 05:45:48

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MORPHOGEN MODELS. “Therefore, in principle, morphogen models could have been used instead of the neural model. From a practical viewpoint, however, this would be considerably more difficult because a separate morphogen model is required for each shell pattern, whereas the neural model has a single set of parameters that are varied to match each pattern.” https://lnkd.in/dwfZQzE View in LinkedIn
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linkedin post 2020-12-20 05:43:31

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LATERAL INHIBITION. “Somewhat surprisingly, the regions of parameter space that correspond to cone shell patterns are fairly restricted and almost always require that the effective spatial interaction be lateral inhibition. When we chose parameters outside this range, we produced shell patterns that do not correspond to any known species.” https://lnkd.in/dwfZQzE View in LinkedIn
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linkedin post 2020-12-20 05:42:03

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BETWEEN NOISE AND CHAOS. “Fig. 3. (A) Both noise and chaos generate within-species pattern diversity. a, Three real C. crocatus shells. b, Three shells generated with 1% noise only. c, Three shells generated with slightly different initial conditions, but no noise. d, Three shells with both 1% noise and slightly different initial conditions. (B) Two examples of “unknown” patterns having too-wide inhibition fields. https://lnkd.in/dwfZQzE View in LinkedIn
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linkedin post 2020-12-20 05:40:11

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SPACE AND TIME FILTERS. “The spatial filter, shown in top and perspective views, has the form of a Mexican hat, in which excitatory activity stimulates a surrounding inhibitory field. The temporal filter that implements delayed inhibition is half a Mexican hat. It generates a refractory period following a period of activity. “ https://lnkd.in/dwfZQzE View in LinkedIn
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