12.07.2015 Views

Computer-aided design and optimization for pharmaceutical ...

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Simultaneous optimal solutionestimated by RSM-SX 1 (%)20.2Formulation factors <strong>and</strong> process variablesX 2 (%)35.6X 3 (%)44.2Z 1 (mg)2.4Z 2 (min)11.7FrequencyHistograms <strong>for</strong> optimal factorsestimated by bootstrap re-samplingX1 (%)2001801601401201008060402000 10 20 30 4025020015010050X2 (%) X3 (%)030 35 40 45 50 5520018016014012010080604020035 40 45 50 55 60Response variablesY 1 (kg/cm 2 ) Y 2 (min)11.26.8The original samples consist of 63 <strong>for</strong>mulation data.FrequencyZ1 (mg)2502001501005001.5 1.8 2.1 2.4 2.7 3.0Z2 (min)45040035030025020015010050010.0 12.5 15.0 17.5 20.0The bootstrap re-sampling was repeated 1000 times.Histograms <strong>for</strong> optimal responsevariables estimated by bootstrapre-samplingSOM clusters of bootstrap optimalsolutionsSOM (1000 nodes)δ (%)FrequencyY1 (kg/cm 2 )30025020015010050010 11 12 13Frequency200180160140120100806040200Y2 (min)4 6 8 10 12C 3C 1C 2 C 4C 6C 7C 580604020C 70C 5X 1 X 23X 3 Z 1 Z 2 Y1 C 1CY2The bootstrap re-sampling was repeated 1000 times.Optimal solution estimated from original sample is located in Cluster 1.

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