Team:Shanghai Metro Utd/Model
MODEL
As known from the litterateurs that Heparan sulfate Proteoglycans (HSPGs) are
needed for rANG to enter cells, it is necessary to explore the specific combination of ANG and HS
interaction. Therefore, we applied an enzyme-linked immunosorbent assay to detect the bonding strength
between rANG and HS and further analyzed the relationship by building a mathematical model.
Below is the initial data. The OD450 could indicate the interaction
ability between
heparin and angiogenin which means that the higher the OD450 value, the greater the interaction
ability
between heparin and angiogenin.
According to the scatter plots, there seemed several ups and downs during 3~8 ug/ml
which could be resulted from the lower concentration and the instrument errors, but the basic trend of the
data presents an S trend. In this case, we chose the logistic equation to fit our data:
After importing the data in MATLAB, we received the modeling results below where
the fitting degree is
0.9833.
Figure 1. Model result
Figure 2. The fitting curve of the model
Based on the model result and fitting curve, it indicates that the more angiogenin
we added, the higher the
OD450 value, namely the interaction ability between heparin and angiogenin. Therefore, it can be
concluded
that the interaction of heparin has dose-dependent with angiogenin and conforms to a certain quantitative
relation (Fig. 1). This model could contribute to the development of new drugs related to angiogenin.
Figure 3. Comparison graph to the PBS blank control
In order to determine the least amount of angiogenin that could combine with
heparin, we introduced a blank control, PBS solution as the comparison where its OD450 value’s
average
equals to 0.08847. In this case, we drew a horizontal line (Y=0.008847) into the fitting curve graph of the
model (Fig. 3) and we could find the cross point at (7, 0.08847). Therefore, it could be inferred that the
least amount of angiogenin that could combine with heparin would be 7 ug/ml.