Half sphere exposure both HSEα and HSEβ based on a big dataset by using multiple-step iterative deep neural-network learning. The predicted HSEa shows a higher correlation coefficient to the stability change by residue mutants than predicted HSEβ and ASA. The results, together with its easy Ca-atom-based calculation, highlight the potential usefulness of predicted HSEa for protein structure prediction and refinement as well as function prediction. Half sphere exposure Half Sphere Exposure (HSE) is a protein solvent exposure measure that was first introduced by . Like all solvent exposure measures it measures how buried amino acid residues are in a protein. It is found
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