The flux dynamics and the boundary conditions corresponding to (6) for each case of interest along with a core process example.

Here vE,i(x), vS(x), and vc,i(x), are the available volume profiles of Ei, S, and ci, respectively. The parameters , , and Ds, are the enzyme, complex, and substrate diffusion coefficients, respectively, ϵ is a dimensionless parameter that captures the speed of diffusion (with respect to dilution). A species being spatially fixed translates to the flux being zero throughout the whole spatial domain. In Case II, for i = 1, …, n, denotes the location of the fixed species Ei. In Case III, denotes the location of the fixed species S.