Biophysical chemistry — the intersection of physical-chemistry methods with biological macromolecules (proteins, nucleic acids, lipid bilayers, multi-protein assemblies). Distinguished from biochemistry-bridge (compositional / structural…
biophysical-chemistry
WLC framework: Marko-Siggia F = (k_B·T/L_p)·[1/(4(1-x/L)²) - 1/4 + x/L]
The worm-like-chain (WLC) model — Kratky-Porod 1949 continuum limit of the freely-rotating-chain, parametrised by two length scales:…
ITC framework: Wiseman single-site isotherm; c = n·K·[M]_tot
Isothermal titration calorimetry — the gold-standard direct-enthalpy method for biomolecular binding. In an ITC experiment, aliquots of a…
DLVO framework: Π(D) = 64·k_B·T·c·γ²·exp(-D/λ_D); linearised-PB double-layer
DLVO theory — Derjaguin-Landau (1941) + Verwey-Overbeek (1948) framework for the net interaction between two charged surfaces in…
WLC: F(x=0) = 0 and dF/dx|_{x=0} = 3·k_B·T/(2·L·L_p) (Hookean entropic-elasticity)
Sympy-exact symbolic witness of the two physically meaningful low-extension anchors of the Marko-Siggia WLC force law. Setup: F(x) =…
ITC: lim_{K→∞} θ(r=1) = 1; Q_stoich = n·[M]_tot·V·ΔH (model-free endpoint)
Sympy-exact symbolic witness of the ITC stoichiometric-endpoint anchor in the Wiseman tight-binding regime. Setup: θ(r, K, M) = (1/2) · [1…
DLVO: Π(D=λ_D) = 64·k_B·T·c·γ²·exp(-1); ln[Π(D)/Π(2D)] = D/λ_D
Sympy-exact symbolic witness of the DLVO linearised-PB double-layer pressure at the Debye-length anchor plus the log-slope fingerprint. …