Team:Northwestern/Project/Modeling
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ModelingStatus: Under Development The purpose of Modeling was to characterize expression vectors in terms of expression level and time-delay, all activated by a diffusing inducer. Using simple enzyme kinetics equations, we elected to mathematically simulate the following model: Variables: Iex: External Inducer, determined by diffusion through Fick's law (IPTG in our experiment) Iin: Internal Inducer (IPTG) Ii: Inducer bound to Repressor (IPTG bound to lacI) i: Repressor (lacI) Db: Repressor-bound DNA (lacI-bound DNA(CHS3) region in plasmid) Dunb: transcribe-able or Repressor-unbound DNA (lacI-unbound DNA(CHS3)) Re: mRNA for Enzyme (CHS3 mRNA) E: Enzyme (CHS3) S: Substrate (N-Acetyl Glucosamine) C: Enzyme Substrate Complex (CHS3-(N-Acetyl-Glucosamine)-Chitin or (NAG)n Complex) P: Protein Product (Chitin or (NAG)n+1)
This model was fitted with empirical data using cp-lacpi-gfp to estimate the rate constant, and therefore the effects of varying cp, lacpi, and rbs on enzyme and final product production.
MATLAB file provided upon request.
A novel structured kinetic modeling approach for the analysis of plasmid instability in recombinant bacterial cultures William E. Bentley, Dhinakar S. Kompala Article first published online: 18 FEB 2004 DOI: 10.1002/bit.260330108 http://onlinelibrary.wiley.com/doi/10.1002/bit.260330108/pdf Mathematical modeling of induced foreign protein production by recombinant bacteria Jongdae Lee, W. Fred Ramirez Article first published online: 19 FEB 2004 DOI: 10.1002/bit.260390608 http://onlinelibrary.wiley.com/doi/10.1002/bit.260390608/pdf |