Escape rate over an energy barrier ΔE in a viscous medium: k ≈ (ω_0 ω_b/2πγ) exp(−ΔE/k_BT) (high friction). Sets the temperature- and viscosity-dependence of protein-folding transitions and chemical reactions in solution.
Kramers' rate theory
Related concepts
- Langevin equation (biophysical use)
- Partition function
- Eyring 1935: k(T) = (k_B T/h)·exp(−ΔG‡/RT)
- ABP labeling efficiency: f(0) = 0; f(ln(2)/k) = 1/2; f(∞) = 1 (three exact saturation witnesses)
- Eyring: k = T·k_B/h·exp(-ΔG/(RT)); zero-barrier k = T·k_B/h; ln k = log T − log h + log k_B − ΔG/(RT)
- Competitive inhibition: K_m^app = K_m·(1+I/K_i); at I=K_i ⇒ K_m^app=2K_m; at I=0 ⇒ K_m^app=K_m