Team:NCKU Tainan/Model
To detect the concentration of inputted numerically, a dependable formula for transformation is absolutely needed. Pl is a glucose induced promoter but with complicated regulation pathway. In this section, we derive a formula using quasi-steady state with the method of enzyme kinetics.
When all compounds reach its steady concentration, the production rate of protein should be a constant and be in form as the following equation:
$$\frac{[Protein]}{dt}=\frac{c1[Glucose]+c2}{[Glucose]+c3}$$
And the fitting result also show its accuracy and limitation:
In medicine, the blood glucose exceeding 5mM/L implies having diabetes, and it exceeding 120mM/L implies being a severe patient. Finding the person whose glucose concentration is over 5mM/L or 120mM/L is our target.
First, we prove that there has difference between 0.1mM/L and 5mM/L (120mM/L) in the paired-difference T test part. And, we use the regression and prediction intervals to distinguish exceeding 120mM/L and 5mM/L from exceeding 0.1mM/L. From the result, 5mM/L can be distinguished from 0.1mM/L after 101 minutes, and 120mM/L can be distinguished from 0.1mM/L after 88 minutes.
