Modeling
Using simple enzyme kinetics equations, we elected to mathematically simulate the following model:
The picture's great, but define what each of the variables mean!
Matlab was used to generate a theoretical model where IPTG would diffuse down the biofilm as according to Fick's Law of Diffusion.
The extracellular substrate concentration was assumed to be much greater than the uptake/use, and so would diffuse in at a constant rate.
This model was fitted with empirical data using cp-lacpi-gfp to estimate the effect of varying cp, lacpi, and rbs on enzyme and final product production.
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