# Dynamics on Networks 2

1. Synchronization:
   - Examples: firefly, fireflies, heart pacemaker cells, cicada
   - The Kuramoto model (Java Applet by Albert Diaz-Guilera) (Cactus Applet)
   - Collective synchronization
2. Biological Patterns:
   - Morphogenesis is the process whereby a living organism develops form and structure, e.g.
     - Animal Coats and Pigmentation Patterns
   - Where do spots come from? Turing's answer
     - Turing, A. M. "The Chemical Basis of Morphogenesis." Bulletin of Mathematical Biology 52, no. 1–2 (1990): 153–97
     - Applet: 1-dimensional instability
     - Reaction-Diffusion equations
     - Constraints for a finite wave-length instability
     - Long-range inhibition & short-range excitation

## Some Related Links

### Synchronization

- Firefly (flash synchrony)
- Steven Strogatz on sync
- Many Oscillators and Biological Sync

### Morphogenesis

- Visual Models of Morphogenesis
- Reaction Diffusion Equations and Animal Coat Patterns
- Morphological processes and reaction-diffusion systems
- Theoretical aspects of pattern formation and neuronal development (MPI Tübingen)
- Primary pattern formation, organizing regions and regeneration (MPI Tübingen)
- Modelling Pigmentation Patterns
- The Alan Turing Internet Scrapbook Growth, Form and Crisis

(Detailed Lecture Notes (PDF))