Oscillation Model partial differential equation

The immobihzed papain system has been subjected to much theoretical analysis using diffusion-reaction and partial differential equation models that take into account the pH-sensitivity of papain s activity [55-58]. The models predict a sharp pH front that moves back and forth across the membrane. Comparison of model predictions with experiment has been disappointing, however [58]. The models predict much sharper oscillations than are attained in the experiments. 

Analytical and computational methods have proven to be useful mathematical tools for the elucidation of mechanisms of oscillating chemical reactions [1,21. The ordinary or partial differential equations which describe the oscillating system are parameterized by rate constants, initial conditions, boundary conditions, etc. The successful modeling of an oscillating system depends both on 1) an appropriate choice of the form of the differential equations and 2) an appropriate choice of values for each of the parameters. The usual mathematical methods for studying the properties of models of oscillating reactions... 

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