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The nomenclature of the register is relative to an in-register antiparallel β sheet. The sign of the shift gives the direction in which the neighboring β strands are offset. This is based on the fact that the sum of the position number of two residues which are aligned on neighboring β strands in an antiparallel β sheet are a constant for any given β sheet register. For example, the in-register antiparallel β sheet of ccβ gives a sum of 18 (Ser1 is aligned with Gly17, Ile2 aligned with Ile16, etc, The +3-or gives a sum of 21 (e.g. Ala7 aligned with Leu14, 18, 3, 21. The -2-or gives a sum of 18-2, 16 e.g. Ile2 aligned with Leu14, Incidentally, this also indicates which residues form hydrogen bonds and which are outside of the aligned region. For example, in the +3-or, Ser1 cannot be aligned, because to reach a sum of 21 it would need a residue 20, which does not exist
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The nomenclature of the register is relative to an in-register antiparallel β sheet. The sign of the shift gives the direction in which the neighboring β strands are offset. This is based on the fact that the sum of the position number of two residues which are aligned on neighboring β strands in an antiparallel β sheet are a constant for any given β sheet register. For example, the in-register antiparallel β sheet of ccβ gives a sum of 18 (Ser1 is aligned with Gly17, Ile2 aligned with Ile16, etc.). The +3-or gives a sum of 21 (e.g. Ala7 aligned with Leu14), 18 + 3 = 21. The -2-or gives a sum of 18-2 = 16 (e.g. Ile2 aligned with Leu14). Incidentally, this also indicates which residues form hydrogen bonds and which are outside of the aligned region. For example, in the +3-or, Ser1 cannot be aligned, because to reach a sum of 21 it would need a residue 20, which does not exist.
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