Preliminary Model 1: Genetic circuit
- When glucose concentrations are above threshold, there would not be any activation of production of colanic acid or trehalose.
- When glucose concentrations decrease below threshold, there will be strong activation of M2 and there will be an increase in protein production in the system.
- For decreased concentration of glucose, there will be increased amounts of colanic acid and trehalose produced.
|g||Variable||Concentration of glucose|
|mi||Variable||Concentration of ith mRNA|
|pi||Variable||Concentration of ith protein|
|ni||Parameter||Hill coefficient of ith mRNA|
Explanation of equations
- In equation (1), we have used a repressing hill function of glucose. This is because glucose, represses CRP, which activates our system. A decrease in [glucose] below threshold will activate M2 strongly.
- The genes are produced in parallel, hence the repressing hill function will appear in the mRNA equations, for all our proteins.
Simulation 1: Effects of increasing glucose concentrations on production of protein
- When there is a decrease in glucose concentration beyond threshold, there is a great increase in amount and rate of protein production.
- A short time delay is seen as transcription and translation takes time.