I am not sure what you are trying to model but an empirical model is often a statistical data fit like a linear or polynomial fit.  Equatiion forms can get very complex and can be very useful but they do not necessarily have any relationship to the underlying science.  

Introduction of "Kinetic parameters" means to me that you have some understanding of the actual reactions taking place and you are trying to model this with equation forms consistant with reaction kinetics you believe to be true.

The below info may add value to query..Best.

http://www.icef11.org/content/papers/aft/AFT1070.pdf