Heterogeneous Approaches

The assumptions of homogeneity and/or well-stirred media used in Sections 

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Macheras Iliadis Modeling in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics Homogeneous and Heterogeneous Approaches... 

In this section, original reactions catalyzed by rhodium or ruthenium nanoparticles in various media are reported. Traditionally, these reactions were carried out in homogeneous or heterogeneous approaches. 

If the system to be modeled verifies one of these conditions at least, the heterogeneous approach has to be followed since a pseudo-homogeneous model would lead to unacceptable errors. 

The Fan-Tsuchiya equation with constant values of Pm estimated from Eq. (12) predicts reasonably well the general trend of bubble rise velocity variation in liquid-solid suspensions as shown in Figs. 8 and 9. However, a detailed match between the experimental results and predictions appears to be difficult to attain by assigning a constant value of p for each condition. A more elaborate analysis is required to account for the effect of bubble size on interactions of the bubble with the surrounding medium (non-Newtonian approach) or with individual particles (heterogeneous approach). 

The results shown in Figure 3 were obtained for one dimensional models using the pseudohomogeneous and heterogeneous approaches. Here again we present two examples (p = 4 atm and 5 atm) where MFARP conditions with a pseudohomogeneous model become PO with the heterogeneous representation. Moreover, Table 2 compares the... 

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