Sarah Carratt 4.14.11

Overview

• dx/dt = production rate - degradation rate
  • degradation rate: amount a fraction of material beaks down in each unit time period
  • production rate:
    • model factors: liner, MM, sigmoid (smoothing out of on-off switch)
    • S'(x) = 1/ (1+e^-x)
      • S(w(x-t))where w=scaling,t=threshold at on-off junction

Matrix Games

• Recall our adjacency matrix A (transpose of YEASTRACT)
  • 1 if gene j affects gene i
  • 0 if not
• there are scaling factors of weights and thresholds
  • affectee receives switching sights from affectors

Difference between "1" and "1"

• if more turns on and less "turns off"...activation
• more turns off and less "turns on"...activation
• switch between by flipping sign on scalar