Team:Newcastle/Modelling/SporulationTuning

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Sporulation Tuning

KinA Expression Model

Under normal conditions, LacI represses KinA.

TeamNewcastleKinAExpLacIKinA.png


However, in the presence of IPTG, KinA can be expressed, as IPTG binds to LacI, deactivating it. Equations (a) and (b) describes how IPTG binds to LacI, forming LacI*, which is the deactivated form of LacI

TeamNewcastleKinAExpLacIIPTG1.png


Over time, the deactivated form of LacI, LacI* may degrade. This is also taken into consideration while building the model.

TeamNewcastleKinAExpDeactivatedLacIDegradation.png


Protein synthesis requires two steps, transcription and translation, and is further illustrated in Figure 1, below.

TeamNewcastleKinAExpTranscriptiontranslation.png
Figure 1: Transcription and Translation


Referring to Figure 1, the following equations can be written:

Transcription of LacI,
TeamNewcastleKinAExpLacITranscription.png


Translation of LacI,
TeamNewcastleKinAExpLacITranslation.png


where mRNA_LacI is inducing the formation of LacI.


Transcription of KinA,
TeamNewcastleKinAExpKinATranscription.png


where LacI is repressing mRNA_KinA, therefore a lower concentration of LacI would result in a higher concentration of mRNA_KinA.


Translation of KinA,
TeamNewcastleKinAExpKinATranslation.png


where mRNA_KinA is inducing the formation of KinA.




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