Introduction
Three of the proteins required in the project are cytochrome c proteins (haem proteins). Hence, the heme biosynthesis pathway needs to be modelled.
Pathway of heme production in E. coli (C-5 pathway from glutamate)
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Mathematical model
Also,d-Aminolevulinate (ALA) produced as an intermediate in the above reactions. -Aminolevulinate Synthase (ALA Synthase) is the committed step of the heme synthesis pathway, and is usually rate-limiting for the overall pathway. Regulation occurs through control of gene transcription. Heme functions as a feedback inhibitor, repressing transcription of the gene for -Aminolevulinate Synthase.
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A non-competitive irreversible feedback inhibition model is assumed for this step with a ki value of 0.02 mM. Hence, the following equation governs the conversion to ALA:
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