Figure 3.
A) Dimensionless quantities identified by non-dimensionalizing the governing equations for diffusion (Fick’s second law) and reaction kinetics (Michaelis-Menten kinetics) for enzyme-sensitive hydrogels. These four quantities are based on initial hydrogel properties, enzyme characteristics, and enzyme-substrate kinetics. The parameters and their description are listed in the table. B) An example of contour plots for front velocity (in mm/hr) and front width (mm) as a function of κ and αe for the case with a β = 0.6, Km = 10 μM, and characteristic length of 2 mm.