Team:NTU-Singapore/Parts/Parameter Estimation using Characterization Results

NTU@iGEM Project Introduction Methodology Team Introduction Team background Notebook Dry Lab Introduction ODEs used Modeling Constructs Parameters used Deterministic Modeling Sensitivity Analysis Stochastic Modeling Wetlab Introduction Materials and Equipment Protocols Verification of Detection & Lysis System Our New Parts Characterization Introduction Standard Promoters Characterization of pLacI-GFP pLacI-GFP images and clips Characterization of pLsrA-YFP New characterization Proposal Parameter Estimation & Correlations Acknowledgements

Lactose Induced GFP production

In the above two figures, we have a comparison between the model generated by our very own equations versus the RFU results that we have obtained using our characterization procedures. There are certain features that are our outstanding when these two figures are compared.

1)The deterministic model has not captured any of the stochastic features the real situation presented before us. 2)The model seems to hit steady state much faster than the actual situation

Careful observation of the results from the characterisation and one would notice that the output takes on the form of a sigmoid curve. Indeed, one of the major flaws in our modeling exercise was that the models don't account for cell growth. Even though we used M9 medium to do our characterisation, it is impossible to assume the cells don't multiply and grow within the 12 hour time period!

This prompts us to look into a better model such that we can first capture the essentials of the real situation before we decide to use our models with our characterisation results

Creating a Logistic Growth Construct

The logistic growth model is typically applied to growth kinetics of Microbes and other natural phenomena. This phenomena is based on the fact that no population can expand exponentially forever and there will be a certain limit to the number of species based on the space that is available.

Here we explore the results of three Logistic Growth equations and their various outputs to see how well the results turn out to be.

Revisiting the general idea of our modeling, we have treated each bacteria cell to work as a CSTR (Continuous stirred Reactor).

However, each bacteria is itself a reactor and these "mini reactors" multiply and grow~!