The model can help us predict the experimental results and guide our experimental design. We designed two models, one to simulate the effect of increasing exosome secretion. It simulates the effect of different exosomes enhancing genes and exosomes booster on the experimental results, providing guidance for our experiment. Another model was used to evaluate the effectiveness of intravenous administration of tetracycline to avoid adverse effects from high concentrations of tetracycline. Therefore, we established a drug metabolism model induced by tetracycline for intravenous administration to evaluate the efficiency of microRNA expression at different concentrations.
Model A (Tetracycline iv drug model)
To activate our tetracycline-induced promoter, we administered tetracycline intravenously. However, excessive tetracycline can affect gastrointestinal tract, liver, blood system, central nervous system and kidney to different degrees. Tetracycline can also bind with phosphate in dentin and enamel, leading to teeth becoming yellow and bone dysplasia. Therefore, we need to establish a drug metabolism model to analyze and calculate the optimal drug concentration range during intravenous injection, to reduce the impact of tetracycline administration and provide certain mathematical basis for the selection of drug injection time and drug injection amount in practical application.
a. The metabolism of tetracycline in the stomach conforms to the rapid perfusion model.
the specific calculation formula is as follows :
The parameters are described below the form:
Here comes our result:
Figure1. Over time, tetracycline concentrations gradually drop in the blood and enter the stomach tissue. It was predicted that tetracycline in the stomach reached its peak at 10hours, and then its concentration gradually decreased with the degradation of tetracycline.
Figure2. This diagram shows the functional relationship between tetracycline and absorption time and absorption coefficient in gastric tissue. The tetracycline concentration decreases gradually with the time of absorption, and the absorption efficiency is inversely proportional to the tetracycline concentration in the gastric tissue.
b. when we give the drug intravenously, the change of blood drug concentration conforms to the following formula:
Here comes our result:
Figure3. With the increase of time, tetracycline concentration in blood medicine gradually increased until reaching the plateau stage.
Model B
To increase the expression of exosomes, we added three enhanced genes to simulate the effect of increasing exosomes secretion through the model, providing guidance for our experiment.
Equations is as follow:
a.transcriptional rate simulation of three booster genes:
b. Simulation of three booster genes transcriptional translation:
Here comes our result:
Figure4. the promotional concentrations of the three promotional genes for the secretion of exosomes. Over time, the number of exosomes secreted by cells increased.
Figure5. Comparison between the expression levels of three promoter genes and those of non-promoter exosomes. It demonstrates that exosome booster could dramatically increase exosome secrion.
Figure6. production rate of exosomes in cell. This model predicts the production rate of exosome over time in cells.