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A combined ultrasound (US)/H2O2 process was used to oxidize arsenite to arsenate, yielding a synergistic effect value of 1.26. This showed that the combined process could be an effective method of oxidizing arsenite, instead of using either ultrasonic or H2O2 oxidation processes. This combined process was successfully modeled and optimized using a Box-Behnken design with response surface methodology (RSM). The effects of the US power density, the initial concentration of arsenite, and the H2O2 concentration on the sonochemical oxidation efficiency of arsenite were investigated. Analysis of variance indicated that the proposed quadratic model successfully interpreted the experimental data with coefficients of determination of R 2 = 0.95 and adjusted R 2 = 0.91. Through this model, we can predict and control the oxidation efficiency under different conditions. Furthermore, the optimal conditions for the oxidation of arsenite were found to be a US power density of 233.26 W L−1, an initial arsenite concentration of 0.5 mg L−1, and an H2O2 concentration of 74.29 mg L−1. The predicted oxidation efficiency obtained from the RSM under the optimal conditions was 88.95%. A confirmation test of the optimal conditions verified the validity of the model, yielding an oxidation efficiency of 90.1%.
EN
We used mathematical modeling in order to determine the pharmacodynamic relationship between antihypertensive drugs atenolol and valsartan, by evaluating their effects on heart rate (HR), systolic blood pressure (SP) and diastolic blood pressure (DP). A group of twelve healthy male volunteers received a single oral dose of 100 mg of atenolol and 160 mg of valsartan, both separately and in combination. Pharmacokinetic (PK), pharmacokinetic/pharmacodynamic (PK/PD) and pharmacodynamic (PD) systems were proposed and PD model of atenolol and valsartan concentration-time profiles and PK/PD model of blood pressure and heart rate effects after administration of single doses of atenolol and valsartan and their combination were constructed. Parameters of PD system, such as gain and mean effect time, were obtained by analysis of PK and PK/PD systems. Modeling of PK and PK/PD systems and their analysis to obtain the PD results could considerably change the view o treatment of individual diseases in terms of greater knowledge of pharmacokinetics and pharmacodynamics of drugs.
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