Ordinary differential equations describe the genetic circuit, three of based on the statistical mechanics approach. The Degprotein and Dildiv terms represent the half-life and dilution rate of the proteins. Because the third equation (the CIλ production) relies on an external input and is not dependent on any of the other equations, the ordinary differential equations uses Michaelis-Menten kinetics to simulate a fusaric acid input. In every simulation fusaric acid is inputted at t = 10 hours