Glycobiology — NIH NIGMS / NHGRI cross-listed biochemistry grain; study of the structure, biosynthesis, biology, and evolution of saccharides (glycans) and glycoconjugates (glycoproteins, glycolipids, proteoglycans) that are ubiquitous in…
glycobiology
Glycan mass additivity: M(n hexoses) = 162·n + 18 (residue + terminal)
Glycan mass arithmetic follows the same residue-plus-terminal bookkeeping as peptide mass: each monomer is added in its residue form (with…
Glycosidic linkage combinatorics: 2 anomers × N positions isomers
A disaccharide formed from two hexoses carries substantial structural diversity per monomer pair. The reducing sugar's C1 (anomeric…
Lectin multivalent avidity: K_D(n-valent) ≈ K_D(mono)/n (ideal)
Multivalent interactions — one multi-armed binding partner (lectin) engaging a multi-armed target (glycan array) via n simultaneous…
Glycan mass additivity: M(n) = 162n + 18; M(1)=180, M(2)=342, M(10)=1638
Sympy-exact witness of the glycan-mass residue-plus-terminal arithmetic. Setup: monomer mass 180, residue mass 162 (= 180 − 18 after water…
Disaccharide linkage count: 2 anomers × 4 positions = 8
Sympy-exact witness of the disaccharide-linkage enumeration for the canonical hexose-hexose case. Setup: two structural degrees of freedom…
Lectin multivalency pin: K_D(n) = K_D_mono/n; K_D(1)=K_D_mono; K_D(4)=K_D_mono/4
Sympy-exact witness of the ideal-multivalency avidity scaling. Setup: K_D(n) = K_D_mono / n, as a two-symbol function of monomeric K_D and…