Team:Qdai/Model
Modeling
1.
We decided to use modeling to predict the relationship between carbon monoxide concentration and luciferase expression levels.
First of all, CooA reacts with CO and becomes the structure of CooA with a structural change. This is called CooAco. The relationship between carbon monoxide, CooA, and CooAco can be expressed as follows.
Based on this reaction, the rate equation for the production of CooAco is as follows.
Here, CooA is decomposed when it reaches a certain concentration, and CO can be considered to be at a certain concentration when it is detected. In other words, we can assume that the concentrations of CooA, CO, and CooA here are in a steady state.
In other words, the concentrations of CooA, C O, and CooA here can be considered to be in the steady state.
The concentrations of CooA, CO, and CooA in the steady state are denoted as
[𝐶𝑜𝑜𝐴]∗, [𝐶𝑂]∗, and [𝐶𝑜𝑜𝐴𝑐𝑜]∗, respectively.
Here, the concentration (expression level) of luciferase
We want to consider the concentration (expression level) of luciferase as [luc i ferase].
The concentration of luciferase can be expressed by the equation as follows
β depends on the concentration of It can be considered that β depends on the concentration of [CooA co]* that binds to the promoter p cooM.
Solving this differential equation, we can now obtain the following equation.
From this, the graph is assumed to be as follows where “t” has reached equilibrium and can be taken to be large.
We were able to figure out how much luciferase expression is predicted when the amount of CooA co in the steady state is high enough. I was able to think about this.
Also, CooA is constantly being transcribed. However, the amount of protein will eventually reach a steady state over time.
However, the amount of protein will eventually reach a steady state after a certain amount of time. Assuming that the CooA co has had sufficient reaction time, the amount of CooA co can be expressed as CO
Since the amount of CooA co can be considered to depend on the CO concentration, the following equation can be used If we assume that the CooA co has sufficient reaction time, we can consider that the amount of CooA co depends on the CO concentration.
2.
We also found that the
We also predicted that there would be a negative effect on growth based on the effect of the CooA gene being constantly expressed and the effect of anaerobic conditions as the CO
We also predicted that there would be a negative effect on growth based on the effect of the CooA gene being expressed normally and the effect of anaerobic conditions as the CO
The following equation provides an explanation. However, by increasing the amount of CooA and luciferase, the overall amount of light will increase. We think that we can predict the right part of the balance as the balance between the intensity of light and the proliferation that is suppressed by the logistic.
I thought it would be possible to predict just the right balance between the logistically controlled proliferation and the intensity of light.
I thought that I could predict the right balance between the logistically controlled proliferation and the light intensity. First, the logistic equation is given as follows
Notice that the respective f and g are now given by the following equations.
where f is what is negatively affecting the growth from CO E. coli can live under anaerobic conditions. Although E. coli can live under anaerobic conditions, it can be predicted that its ability to grow under anaerobic conditions is lower than under aerobic conditions. It can be predicted that E. coli can live under anaerobic conditions, but its ability to grow under anaerobic conditions is lower than under aerobic conditions.
Also, the g() is a negative effect due to the production of proteins that are not originally produced by E. coli.
This is a simplified method. For the sake of simplicity, the effects of luciferase and For simplicity, we will create a new parameter that allows us to consider the effects of luciferase and CooA in a single letter. For simplicity, we will create a new parameter that allows us to consider the effects of luciferase and CooA in a single letter.
Now we solve the above equation.
Here, we can think of Z as representing the level of responsiveness as a sensor and the amount of light. In other words, we are required to consider the value of Z that maximizes N×Z.
Thus, we get the following equation.
Here, we can say that Q represents the ability and luminosity of the E. coli aggregate as a sensor. Now, we can consider Z to maximize the capability. The graph looks like this. The x-axis is calculated as time, y-axis as Z, and z-axis as Q.
Here we were considering the effects of CO and genes in terms of fg's function, but the best may be needed.