Role of diffusion in nonaqueous enzymology. 1. Theory.

Using a set of standard equations, we have calculated the role of internal and external mass transfer in limiting the rate of enzyme-catalysed reactions in anhydrous organic solvents and supercritical fluids. We have shown that enzyme particles suspended in anhydrous organic solvents will be subject to increasing diffusional limitation as the enzyme activity and particle size increase. Using particle dimensions, as measured by scanning electron microscopy, we have prepared a series of graphs that will enable investigators to determine whether their combination of particle size and activity will result in internal or external diffusional limitations. We have shown that supercritical fluids can be expected to enhance the activity of enzymes in nonaqueous environments as a result of the high diffusivity of the bulk solvent. The plots also clearly indicate that enzyme particles in supercritical fluids require nearly two orders of magnitude less agitation than those suspended in conventional solvents in order to overcome any external mass transfer limitations.