2ds01 statistics 2 for chemical engineering lecture 5
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2DS01
Statistics 2 for Chemical Engineering
lecture 5
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Contents• high-throughput screening• combinatorial chemistry• overview of previous lectures
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Breakthrough in experimentation• robotic sample preparation• miniaturization of reactors• high-level automatization of sensors• pharmaceutical industry:
– routine creation and testing of 1000 to 1000000 distinct compounds (libraries)
• techniques are now also being applied in material development
• new companies:– Symyx (www.symyx.com)– Avantium (www.avantium.com)
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High-throughput screening• typical cycle of experimentation:
– thousands of reactions in few hours– few hours of statistical analyses– thousands of reactions in few hours– few hours of statistical analyses– ---
• new chemical may be developed in 3 weeks rather than 3 years
• Which statistical techniques are important?• How do the classical techniques of the previous lectures fit
in?• Which new techniques are necessary?
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combinatorial synthesis approach
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Multireactor vessels
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Overview of experimental strategies
scientific understanding
chemicalintuition
chemical/physicalknowledge
factor/level determination
polynomial models
first-principles equations
semi-empirical models
combinatorial methods
screening designs
optimal designs for non-linear models
response surface methods
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Multistage screening
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Multireactor vessels
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Combinatorial explosion: example 2nd year project
• 4 different catalysts, 10 continuous change equivalence: 0.01-0.10, with mixtures:
• 4 different bases, 10 continuous change equivalence: 0.01-0.10, with mixtures
• 3 solvents• temperature: 50C-120 C, steps of 10 C• 3 choices for both X and R1
• 6 choices for R2
• Total number of possibilities: 3.3 * 107
R1-BY2 + R2 –X R1-R2
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Experimental strategies: combinatorial organic synthesis
• structural descriptors are calculated for each compound
• similarity coefficients are calculated between compound pairs
• compounds are selected using multivariate methods (based on clustering, dissimilarities, etc.)
Possible because target is single compound
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Experimental strategies: materials development
• currently descriptors less well developed (complex interactions / processing)
• need for other strategies
Common approaches:1. High-speed array strategies2. True combinatorial design strategies
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High-speed array strategies1. gradient arrays2. quaternary mask arrays3. high-speed versions of conventional
experimental designs
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Gradient arrays
100% B
100% A
100% C
• continuous spread
• point techniques• uniform spacing?• data analysis?
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Quaternary mask arrays
4^5 = 1024 possibilities in 20 sputter operations!!
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Detail quaternary masks
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High-speed versions of conventional designs
• cost of experimentation is low• high resolution designs are possible
– full factorials– central composite designs– special cubic mixture designs
• 3rd and higher order interactions are important !
• use in second stage of screening (after “hit” has been found)
• complicated experiments may require extra statistical features (nesting, random effects)
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True combinatorial design strategies• split-and-pool / split-and-combine• representational strategy• index library strategy• all 2-way combinations strategy
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Representational strategy
• similar to one-factor-at-a-time strategy• will not identify interactions
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Index library strategy
is limited strategylike representationalstrategy
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All 2-way combinations strategy
• 19*18/2 = 171 • for all 3-way combinations: (19*18*17)/(1*2*3) = 969 runs
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N-way combinations• gain possible by noting that 1 2 3 4 5 contains
– 10 2-way combinations– 10 3-way combinations – 5 4-way combinations
• orthogonal arrays• Latin squares
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Some WWW sites on combinatorial chemistry
• http://www.combichem.net/ • Homepage of Furka:
http://szerves.chem.elte.hu/Furka/ • http://www.aae.enscm.fr/anciens/94-mc/combche
m.htm
• http://www.combinatorial.com/ • Molecular diversity page:
http://www.5z.com/divinfo/ • Links to several papers:
http://chemengineer.miningco.com/cs/combinatorialchem/index.htm
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Literature• J.N. Cawse, Experimental Strategies for
Combinatorial and High-Throughput Materials Development, Acc. Chem. Res. 34 (2001), 213-221
• R. Hoogenboom et al., Combinatorial Methods, Automated Synthesis and High-Throughput Screening in Polymer Research: Past and Present, Macromol. Rapid Commun. 24 (2003), 15-32
• G-J.M. Gruter et al., R&D Intensification in Polymer Catalyst and Product Development by Using High-Throughput Experimentation and Simulation, Macromol. Rapid Commun. 24 (2003), 73-80.
• W.A. Warr, Combinatorial Chemistry and Molecular Diversity. An Overview, J. Chem. Inf. Comput. Sci. (37) 1997, 134-140.