IGEM:IMPERIAL/2008/Prototype/Drylab/ODE Model

=ODE Model=

Refer to the genetic circuit



Concentration of ytvA

$$\frac{d[ytvA]}{[dt]}=k_1-d_1[ytvA]$$

Where

$$k_1=\mbox{Rate of transcription through p43/pveg promoter}$$

$$d_1=\mbox{Rate of degradation of ytvA}$$

Concentration of epsE

$$\frac{d[epsE]}{[dt]}=k_2k_3[ytvA]-d_2[epsE]$$

Where

$$k_2=\mbox{Rate of transcription through pctc/gsiB promoter, function of light intensity}$$

$$k_3=\mbox{Rate of transcription of epsE}$$

$$d_2=\mbox{Rate of degradation of epsE}$$

Intracellular concentration of biomaterial

$$\frac{d[biomaterial]}{[dt]}=k_2k_4[ytvA]-d_3[biomaterial]$$

Where

$$k_2=\mbox{Rate of transcription through pctc/gsiB promoter, function of light intensity}$$

$$k_4=\mbox{Rate of transcription of biomaterial}$$

$$d_3=\mbox{Rate of secretion of biomaterial}$$