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Computer-aided design and optimization for pharmaceutical ...

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A novel method to setup the <strong>design</strong> spaceSuper spherical solution vectors which satisfyspecifications of response variablesLeave-oneone-factor-out out method(Simulated gene knockout method)Optimal solutions estimated from bootstrap samplesWild typeKnockoutx3rSolution vectorssatisfiedspecificationsof responsevariablesY * optim, originalY * optim, LOFOBootstrap samplingDifference of mean <strong>and</strong> SD betweenY * optim, original <strong>and</strong> Y * optim, LOFO couldrepresent the statistical importance ofrelevant factor.CentroidX=(X 1 , X 2 ,…, X n )Y=(Y 1 , Y 2 ,…, Y m )X=(X 1 , X 2 ,…X i ,…, X n )Y=(Y 1 , Y 2 ,…, Y m )X ix2x1Original datasetLOFO datasetLeave-one-factor-out fromthe original dataset.Case studyPowder properties of theophylline powder <strong>for</strong>mulations·Formulation factorsX 1: mixing ratio of lactoseX 2: mixing ratio of corn starchX 3: mixing ratio of microcrystalline cellulose·Response variablesY 1: angle of reposeY 3: degree of cohesionExperimental <strong>design</strong>X 1Y 2: compressibility ratioY 4: dispersion ratio·Process variablesZ 1: amount of magnesium stearateZ 2: mixing timeCase studyFormula <strong>optimization</strong> of ketoprofen hydrogel using RSM-SFormulation factorsX 1: 1-O-ethyl1ethyl-3-n-butylcyclohexanol(OEBC) (%)Response variablesY 1: Penetration rate (Rp) (µg/h)(Y 2: Total irritation score (TIS)X 2: Diisopropyl adipate (DIA) (%)X 3: Isopropanol (IPA) (%)Simultaneous optimal solutionFormulation factorsOEBC(%)DIA(%)IPA(%)1.264.8731.7Z 1Z 2Response variablesRp(µg/h)TISX 2 X 3Simplex lattice <strong>design</strong>Central composite sphericalsecond- order experimental <strong>design</strong>341.64.17

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