Morpheus

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=== Module 3: Activator-Inhibitor ===

Author: Lutz Brusch

Aim:
  * Introduce self-organized pattern formation (Turing patterns)
  * Show the potential of qualitative/theoretical modeling

Description:

  * Activator-Inhibitor models
  * Theoretical introduction on Turing patterns (1951)
  * Self-organized organizer
  * large system size = periodic pattern
  * change inhibitor diffusion and observe changing pattern wavelength
  * half-wavelength system size and no flux bc. = spontaneous symmetry break of homogeneous init.cond. with max and min at opposite boundaries
  * Fish coat pattern: Miyazawa et al.
  * Trigger discussion:
    * Parameters and variables do no longer correspond to molecules anymore
    * What is the explanatory power of ‘blending model’?
    * Bottom-up, top-down, middle-out
 
Paper:
  * Miyazawa, Okamoto and Kondo, Blending of animal colour patterns by hybridization, Nature Communications, 2010. [[http://www.nature.com/ncomms/journal/v1/n6/full/ncomms1071.html|link]]

Morpheus models:

  * [[examples:miscellaneous#Activator-Inhibitor: reaction-diffusion in one dimension|Activator-Inhibitor: reaction-diffusion in one dimension]]
  * [[examples:reaction-diffusion#Turing patterns: spatial parameter exploration|Turing patterns: spatial parameter exploration]]