Modelling

Quorum Sensing

Quorum sensing mechanism was used to form biofilm of E.coli strain Top10, BL21 and DH5α that used in labwork. We have modeled growth curve of E.coli to determine when we must move E.coli colony from inoculum flask to reaction flask that contains PET. Besides growth curve, we have modeled some coupled ODEs to model growth curve, AI-2 production that affects signaling, and biofilm formation. AI-2 production in E.coli was used as colony signal of quorum sensing until it reaches specific points and finally form biofilm that affected by its quorum sensing by AI-2 signaling. We use Hill kinetics function as our approach to model AI-2 production and biofilm formation. Based on model that we built and confirmation from wetlab team, we found inoculation time until E.coli reaches quorum sensing condition is 10 hours.

Here ODEs that we used :

[[File:CodeCogsEqn.gif|center|Growth Formula]]

[[File:CodeCogsEqn(1).gif|center|AI-2 Signaling]]

[[File:CodeCogsEqn(2).gif|center|Biofilm Formation]]

Quorum Sensing

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Quorum Sensing

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