A full probabilistic analysis of a randomized kinetic model for reaction–deactivation of hydrogen peroxide decomposition with applications to real data

The classical kinetic equation has been broadly used to describe reaction and deactivation processes in chemistry. mathematical formulation of this deterministic nonlinear differential depends on rate constants. In practice, these rates must be calculated via laboratory experiments, hence involving measurement errors. Therefore, it is more realistic treat as random variables rather than This leads the randomization equation, its solution becomes a stochastic process. paper we address probabilistic analysis randomized model by catalase hydrogen peroxide decomposition at given initial concentration. first part paper, determine closed-form expressions for probability density functions important quantities aforementioned chemical process (the fractional conversion peroxide, time until fixed quantity reached activity catalase). These are obtained taking extensive advantage so called Random Variable Transformation technique. second part, apply theoretical results together with principle maximum entropy aspergillus niger using real data excerpted from recent literature. Our show full agreement previous reported but having additional benefit that they provide complete description both inputs outputs since take into account intrinsic uncertainties involved modelling