A Synthetic P-Nitrophenyl Esterase with Remarkable Substrate Selectivity

On diffusion-induced grain-boundary motion

“…This situation results in the following terms: V = −H Γ is the usual motion by mean curvature that models motion driven purely by surface tension, and the term f (u) results from the deposition effect. Here, f (u) = u 2 is reasonable [9]. As for the second equation, ∆ Γ u describes diffusion on a manifold, −VH Γ u indicates the concentration change due to the change of the length of the interface, Vu describes the reduction of the solute due to deposition, and g(u) results from absorption of the solute from the vapor.…”

“…As for the second equation, ∆ Γ u describes diffusion on a manifold, −VH Γ u indicates the concentration change due to the change of the length of the interface, Vu describes the reduction of the solute due to deposition, and g(u) results from absorption of the solute from the vapor. Physically, g(u) = U − u is meaningful, where U is the concentration of the solute in the vapor [9].…”

“…In the DIGM mechanism, this transfer is accomplished by the disintegration of one grain and the simultaneous building up of the adjacent grain, the solute being added during the build-up process. This results in the migration of the grain boundary [9]. The possibility of reducing the free energy this way does not automatically imply that migration actually takes place; mechanisms for this to happen have been proposed, including the recent one in [3].…”