Chapter 12: Interdisciplinary Topics

Lecture 1: Monday April 7

• Protein Folding
• Protein Sequences
• Folding and Structure
• Monte Carlo simulation of a 2-D protein

Lecture 2: Wednesday April 9

• Mechanism of Protein Folding
• Lattice Monte Carlo Model
• Folding and non-folding sequences

Lecture 3: Friday April 11

• Earthquakes and Self-Organized Criticality
• Earthquakes and the Gutenberg-Richter Law
• Self-organized Criticality
• Bak-Tang Earthquake Fault Model

Lecture 4: Monday April 14

• Earthquakes and Self-Organized Criticality
• Gutenberg-Richter Law
• Burridge-Knopoff Model
• Cellular-Automaton Earthquake Model

Lecture 5: Wednesday April 16

• Neural Networks and the Brain
• General References
• Neural Network Models

Lecture 6: Friday April 18

• What is Life?
• Real Neurons and Action Potential
• Squids
• Hodgkin-Huxley Equations

Lecture 7: Monday April 21

• Cellular Automata
• Basic ingredients of cellular automaton models
• One-dimensional Cellular Automaton
• Conway's Game of Life

Lecture 8: Wednesday April 23

• Ion Channels in Cell Membranes
• Optimization Problems
• The Thomson Problem
• The Traveling Salesman Problem
• Genetic Algorithms
• More on Genetic Algorithms

Lecture 9: Friday April 25

• Two dimensional sandpile automaton
• Model and local update rule
• A typical steady state
• Self-organized criticality
• Two-dimensional sandpile automaton simulation

Lecture 10: Monday April 28

• Forest Fire Model
• Initializing the forest
• Local update rule
• OpenGL Forest File Program
• Results found by Bak and collaborators
• Lattice Gas Cellular Automaton Model for Fluid Flow
• OpenGL Lattice Gas Program
• Continuum Limit of Lattice Gas Cellular Automaton Model
• The equations of fluid dynamics
• Continuum limit of the lattice gas equations