# Sarah Carratt 4.14.11

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## 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