Figure 7.
The projection of antibodies from 8 D to the first three principal components, PC1, PC2, and PC3 and the first three MDS components, MDS1, MDS2, MDS3 (see text). The top 10 antibodies are plotted in red spheres, with corresponding antibody labels from Supplemental Table S1. The remaining antibodies are shown as blue/grey spheres as indicated in the legend. The large, semi-transparent yellow solid sphere is the projection of the 8 D-spherical surface with radius set so that the top 10 ranking antibodies are outside of it in the higher-dimensional Hilbert space. The ideal best solution (IBS) and ideal worst solution (IWS) as defined in the TOPSIS method are labeled in cyan and green, respectively. The distances to the IWS and IBS are shown for a representative candidate (D3 in panel (a), B4 in panel (b)). (a) In the reduced-dimensionality 3 D PCA space, five of the top 10 antibodies (B4, B5, B8, B11 and B17) are projected inside the 3 D sphere; five others are outside of the 3 D-sphere projection. The IBS point is located at (1.2, 1.3, 0.8) and the IWS point is located at (0,0,0). (b) In the reduced-dimensionality 3 D MDS space, only one of the top 10 antibodies (B4) is projected inside the 3 D sphere, consistent with the fact that MDS projections better preserve higher-dimensional distances. The IBS point is located at (−0.8, −0.1, 0.2) and the IWS point is located at (1.1, 0.6, 0.2).