Three-dimensional response surface interactive model

Figure 6 An interactive model three-dimensional response surface plot for fines in the milling study.

Response Surface Model A dose-response surface is an extension of dose-response lines (isobols) to three dimensions. In this representation there can be a dose-response surface representing additivity and surfaces above and below suggesting deviation from additivity. Tam et al. [90] studied the combined pharmacodynamic interactions of two antimicrobial agents, meropenem and tobramycin. Total bacterial density data, expressed as CFU (colony forming units), were modeled using a three-dimensional surface. Effect summation was used as the definition of additivity (null interaction hypothesis) and the pharmacodynamic model was assumedi to take the functional form... 

As compared to cyclodextrin which is a three-dimensional system, this one is a two-dimensional hydrophobic surface. In this regard it is a useful model to evaluate hydrophobic and electrostatic interactions of well-defined geometries. The presence of an imidazole group at position 17/S is responsible for the catalytic effect observed during the hydrolysis of esters. 

Figure 10.3 Example response surface model in two and three dimensional models for two factor interaction.

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