【正文】
levels. Which is the most probable? Boltzmann distribution is the oute of blind chance occupation of energy levels, subject to the requirement that the total energy has a particular value Occupancy (Ni) of level i q = partition function。 N total number q kTENN ii )/e xp( ??Partition function q is the sum of Boltzmann factors Reflects the number of thermally accessible states at the temperature of interest ?????iikTEqf a c t o r sB o l t z ma n nq)/e x p (Toy protein model Red – Hydrophobic (H) Black – Polar (P) HP model 1 conformation: E = e 4 conformations: E = 0 Partition function – toy model Q = 4 exp(E0/kT) + exp(E1/kT) Let E0 = 0 and E1 = e, then Q = 4 + exp(e/kT) Prob (Native state), P = qNative/Q P = exp(e/kT)/{4 + exp(e/kT)} EHH = e Tm 0 T 1 Prob (Nat) UNFOLDED DG = kT {Prob(Nat)/Prob(Unf)} Folding landscapes and the Levinthal paradox Flat landscape (Levinthal paradox) Tunnel landscape (discrete pathways) Realistic landscape (“folding funnel”)