The Berlin Model

Another rate equation is often referred to in the German literature [1, 11, 12]  

The factor P is called the autocatalytic factor for P = 0, the reaction becomes a single first-order reaction. With increasing P, the autocatalytic character becomes more important. 

It can be shown that this model is equivalent to the Benito-Perez model by setting 

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Different factors may strongly affect the behavior of autocatalytic reactions, especially if we consider the adiabatic temperature course that is used to predict the TMRad. Such effects are shown by numerical simulations using the Berlin model. 

Wenninger K, Kehrt R, von Ruden U, Lehmann C, Binder C, Wahn U, Staab D Structured parent education in the management of childhood atopic dermatitis The Berlin model. Patient Educ Couns 2000 40 253-261. 

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