Team:Shanghai HS/Model
Model
Introduction
In order to analyze the relationship between the concentration of the antibodies and their neutralization ability on pseudo-typed SARS-CoV-2, we decide to apply mathematical modeling to make further exploration.
Below is the initial data:
Each group of the antibody neutralization tests has three parallel samples, and the scatterplots were analyzed by MATLAB. The overall trend of the scatterplot of each sample is consistent thus the average value can be calculated directly.
According to their scatterplots, we choose to adopt the double exponential model which is commonly used to describe the process of electromagnetism and electric current, especially high altitude lightning.
The equation is
where a, b, c, and d are constants.
Modeling Results
1. ACE2-Fc group
Figure 1. Modeling result of ACE2-Fc group by MATLAB
Figure 2. Fitting curve of ACE2-Fc group’s model
The ACE2-Fc fusion protein group, a virus RBD-targeting molecule consisting of the extracellular domain of human ACE2 and the Fc region of human IgG1, was served as the positive control group in this project. According to the curve and its fitting degree, the trend of this model is basically consistent with the experimental results thus this model could be used to make predictions or study rates of change about AE2-Fc.
2. B38
Figure 3. Modeling result of B38 group by MATLAB
Figure 4. Fitting curve of B38 group’s model
In terms of the fitting curves, the increase of the B38 curve is different from that of ACE2-Fc with a different change rate from that of ACE2-Fc. B38 group, a SARS-CoV-2 RBD-targeting antibody currently under clinical development, is also served as the positive control in this project.
3. 3E8
Figure 5. Modeling result of 3E8 group by MATLAB
Figure 6. Fitting curve of 3E8 group’s model
As seen from figure 6, 3E8 group, a promising therapeutic candidate for the coronavirus pandemic also showed remarkably broad neutralization to the pseudo-typed SARS-CoV-2.
4. Comparison
Figure 7. Comparison image of the fitting curves of ACE2-Fc group, B38 group and 3E8 group.
*As the negative control, iso group is easily seen close to the baseline thus no more discussion in the model part.
According to the comparison image, 3E8 possesses a higher neutralization ability than B38 and even better than ACE-Fc when the concentration of antibody is given lower than 93.08 nM.
For 3E8, it would take blocking effects on pseudovirus infection when the dose is given higher than 1.6 nm around. To sum up, it indicated that 3E8 has a slight dose-dependent blocking effect on pseudovirus infection and it is potentially a powerful and broad-spectrum blocker on coronaviruses that are dependent on ACE2.
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