Team:UC Davis/Signal Processing
From 2014.igem.org
Mathematical Approach
To model our system, we first focused our attention on the linear range of each enzymes Michaelis Menten plot. The linear range of this plot is governed by the relationship:
This was useful, but Olive Oil contains many aldehyes and the enzymatic response is different for each one.
To describe this mathematically we started with the assumption that none of the substrates would induce competitive inhibition. If this was the case, the modeling would be simple. We would consider the observed velocity to be a linear combination of the three singular responses to aldehyde.
To test our model we built a combinatorial set of aldehydes. We chose three aldehydes from each bin, saturated medium, saturated long, and unsaturated. The three aldehydes were chosen such that the enzymes response to each would represent their respective groups. We created a total of 64 different combinations by mixing Pentanal, Decanal, and E-2-Decenal in four different concentration ranges, 0 µM, 10 µM, 100 µM, & 1000 µM. Three combinatorial well plates were made and mixed with each enzyme separately.
Our full signal processing data set can be downloaded here.