The change of the species concentrations in time is given by non-linear ordinary differential equations (ODEs), most of which follow Hill kinetics. The parameters we used in the model are derived from literature.

Mine Cells

Equation system 1: ODE for Mine Cells.

The Mine Cells lead to the synthesis the signalling molecule, by constitutive expression of luxI gene. To reveal the nature of the cells, a coloured-substrate reaction is triggered upon addition of 5-Bromo-4-chloro-3-indoxyl-N-acetyl-beta-D-glucosaminide; given that the glycoside hydrolase NagZ is expressed constitutively.

The ODEs for the states involved in the sender module are given below:

Biosensors

Equation system 1: ODE for Mine Cells.