Team:KUAS Korea/Model

Model

Mathematical model

We used monod equation for design cheater and cooperators mathematical model. Because we have to know about relation of microbal growth rates in an aqueous environment to the concentration of a limiting nutrient. In our case, limiting nutrient will be cellobiose. Also, in our experiment we have to find out the Quantificated information of the dependence of the growth rate on substance. Finally, we can compare the growth rates of two E.coli strains.

This is basic monod Equation. S is glucose released from cellobiose by cooperators. S can be derived from multiplication of q, p, x. q refers the number of totla cell diversitiy, p is the number of total cell diversitiy, and x is the frequency of the cooperator