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Assemblies and Networks

  1. Simple Biological Networks:
    • Transcription Regulation; Lac Operon
    • Genetic Switches
    • Signal Transduction
    • Repressilator: a Simple Clock
  2. Statistical Properties:
    • Random (Erdös-Rényi) Networks
    • Percolation, Diameter, Degree Distribution
    • Scale Free Networks, Construction and Properties
  3. Dynamics on Networks:
    • Fixed Points and Stability
    • Hopfield Neural Network
    • Cycles, Clocks, Synchronization
  4. Biological Patterns:
    • Turing Instability
    • Cortical Patterns