Half sphere exposure used in predicting discontinuous B-cell epitopes. Song et al. have developed an online webserver termed HSEpred to predict half-sphere exposure from protein primary sequences. HSEpred server can achieve the correlation coefficients of 0.72 and 0.68 between the predicted and observed HSE-up and HSE-down measures, respectively, when evaluated on a well-prepared non-homologous protein structure dataset. Moreover, residue contact number (CN) can also be accurately predicted by HSEpred webserver using the summation of the predicted HSE-up and HSE-down values, which has further enlarged the application of this new solvent exposure measure. Recently, Heffernan et al. has developed the most accurate predictor for
Inversion in a sphere in this article are dependent on three simple ideas: (See fig 1) (See fig 2) (See fig 3) Note 4: Generally, the inverse of a line is a circle through the centre of reference. Note 5: Generally, the inverse of a plane is a sphere through the centre of reference. (See fig 4) (See fig 5) Note 6: Generally the inverse of a sphere is a sphere (Cf Figs 3, 4, 5) Note 7: Generally the inverse of a circle is a circle. Inversion in a sphere In geometry, inversion in a sphere is a transformation of Euclidean space that