Team:NTU-Singapore/Parts/Correlation



=Introduction=

Correlations form an integral part in chemical engineering. Many phenomena observed in chemical processes have been extensively studied and relevant data collected to provide correlations between the variables of interest. This is to allow end users to be able to predict certain outcomes based on the knowledge of a specified variable if the correlation is availble. This practise is common when a process is not fully understood and a quick but efficient method to determine the process output is desired. Herein lies the aim of the next part of our project: to find a correlation between the amount of GFP produced and the fluorescence observed.

=Model results and RFU data= A simple correlation was done between the model results and the RFU collected.



For the 10 graphs, correlations were generated for each of them using the Curve Fitting toolbox found in MATLAB.

The results are found in each of the links below. Each curve is shown together with the prediction bounds to a 95% cofidence level and the equation of the curve. Lactose = 1mM Lactose = 2mM Lactose = 3mM Lactose = 4mM Lactose = 5mM Lactose = 6mM Lactose = 7mM Lactose = 8mM Lactose = 9mM Lactose = 10mM

The curves were fitted once a R-square value of higer than 0.99 was obtained. Although the curves could be successfully obtained there remains some questions to be asked: 1) Is the model results truly representative of the real situation? 2) Will temperature changes have an impact on the results? However it is still possible that our model can account for temperature effects by tweaking the logistic growth input parameter. Recall that our model accounts for varying carrying capacity, and a different temperature could be represented by different paramter values.