gsk approach to enhancing process understanding using dynochem: reaction kinetics examples. james...
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GSK Approach to Enhancing Process Understanding using Dynochem: Reaction Kinetics Example
James WertmanProcess EngineeringGlaxoSmithKline
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 1
Overview
• Introduction
• Example for Kinetic Modeling
• Experimental Design
• Dynochem Model
– Data Reduction
– Reaction Scheme
– Preliminary Parameter Fitting
– Model Refinement and Selection
– Complete Parameter Fitting
• Optimization
• Conclusions and Future Work
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 2
Introduction
• Introduction and implementation of Quality by Design
– Strong focus on process understanding to support process
development and project decisions
• Maximize process understanding over operating ranges
from discrete experimental points
– Dynochem and other tools facilitate this implementing mechanistic
and empirical models
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 3
Reaction Example
O
OH
H
O
O
OHO
OO
OH
H
MeO
O
H
MeO
Pleuromutilin Epi-Pleuromutilin "Alkene"
• Homogeneous reaction
• Considerable experimental experience
– General effects of concentration, reagents, and temperature understood
– Scaled reproducibly from < 1g to 40kg scales
– Wide range of conditions already proven acceptable
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 4
Reaction Example
O
OH
H
O
O
OHO
OO
OH
H
MeO
O
H
MeO
Pleuromutilin Epi-Pleuromutilin "Alkene"
• Starting material is a fermentation product
– Highly variable impurity profile
– Large number of impurities (30+)
• Limited analytical information early in project development
– Few identified impurities
• Numerous feasible reaction pathways, mechanistically complex
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 5
Experimental Design
• Overall process focus on crystallization and isolation,
constraints imposed by the work-up procedure
– Reduce solvent/reagent amounts to safe minimum, ~3 volumes
– Maintain acid below 1.7 molar equivalents
– Maintain temperature below 40°C
• Solvent/reagent ratio fixed at 2:1
– Previous experimentation suggests negligible effect of ratio on
reaction performance
• Investigation focus on temperature and acid effect on
reaction profile
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 6
Experimental Design
• Experimental design selected as a two level factorial design with center points to allow for statistical analysis of data if desired
– Methanol and TMOF fixed at 2 and 1 volume respectively
– Temperature: 25 to 40°C
– Sulfuric Acid: 0.85 to 1.7equivalents
– Chromatography purified Pleuromutilin utilized to minimize impurity complication of analysis
• Time zero is acid charge, exothermic temperature spike minimized by equipment configuration but still present
• Sampling at 0.5, 1, 2, 4, 8...min
– Sampling extended up to 48 hours to capture “Alkene” formation
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 7
min0 2.5 5 7.5 10 12.5 15 17.5 20
Norm.
0
250
500
750
1000
1250
1500
1750
DAD1 D, Sig=210,4 Ref=360,100 (JW092\035-3501.D)
7.842
10.504
12.705
12.900
12.971
13.183
13.844
14.195
14.532
14.837
15.093
15.277
15.918
16.705
17.115
17.634
17.886
18.076 18.241
18.766
Raw Data
min0 2.5 5 7.5 10 12.5 15 17.5 20
Norm.
0
200
400
600
800
DAD1 D, Sig=210,4 Ref=360,100 (JW092\012-1201.D)
7.837
10.494
11.307
12.167
12.708
13.187
13.848
14.558
14.838
15.277
15.497
16.705
min0 2.5 5 7.5 10 12.5 15 17.5 20
Norm.
0
200
400
600
800
1000
1200
1400
DAD1 D, Sig=210,4 Ref=360,100 (JW092\021-2101.D)
7.838
10.503
12.706
12.901
13.184
13.845
14.548
14.837
15.275
16.701
18.255
min0 2.5 5 7.5 10 12.5 15 17.5 20
Norm.
0
200
400
600
800
1000
1200
DAD1 D, Sig=210,4 Ref=360,100 (JW092\008-0801.D)
6.848
10.487
Pleuromutilin
Epi-Pleuromutilin
“Alkene”
Intermediate Species?t = 0min
t = 4min
t = 64min
t = 640min
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 8
Data Reduction
• HPLC areas extracted to Excel
• Area percents calculated adjusting for relative response
factors
– Pleuromutilin 5
– Epi-Pleuromutilin 1
– “Alkene” ½
– Σ(unknowns) 1 assumed
• Adjusted area percent utilized assumed to correspond to
weight percent
– Modeling performed with and without inclusion of unknown peaks in
area percent calculation
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 9
Reaction Mechanism
O
OH
H
O
O
OHO
OO
OH
H
MeO
O
H
MeO
MeOH
CH(OCH3)3
H+
H+
Pleuromutilin Epi-Pleuromutilin "Alkene"
• Propose relevant mechanism while incorporating historical experience
– Without methanol or trimethyl orthoformate (TMOF) no product or major
byproduct is detected
– Strongest dependence to temperature and acid content
– Pleuromutilin to Epi-Pleuromutilin transformation observed to be reversible
– Multiple intermediates observed by HPLC, but no analytical information
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 10
Reaction Mechanism
O
OO
OH
H
MeO
O
OH
H
O
O
OHO
OH
OH
O
OH O
OHO
OH
H
O
O
OHO
OH
H
O+
O
OHO
OH
H
OHO
H+
H+
H+
H2O
H+
MeOH
H+
O
H
MeO
+
+
+
A B
CD
Pleuromutilin
Epi-Pleuromutilin"Alkene"
• Start with reference
information
• Fits experimental
observations except
for the incorporation
of TMOF
1 H. Berner, G. Schulz, and H. Schneider,
Tetrahedron 36, 1807 (1979).
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 11
Reaction Scheme for Modeling
O
OO
OH
H
MeO
H2SO
4H+ SO
4
H+
O+
O
O+
O O
OH
H
O
O
OHO
OH
H
O
OH
OO
O
O
OH
H
O
OH
OMe
O OH
O
O
H
MeO
OH
O
OHH+
CH(OCH3)3 MeOH
MeOH
O
OHO
OH
H
MeO
Epi-Pleuromutilin
2
+ +
+
+
Pleuromutilin
+
+
++
"Alkene"
2-
+
+
• Mechanistically relevant
reaction scheme
• Actual structures of
intermediates and byproducts
selected only to fulfill mass
balances, no analytical
information available
• Concurs with experimental
observations
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 12
Dynochem Setup
O
OO
OH
H
MeO
H2SO
4H+ SO
4
H+
O+
O
O+
O O
OH
H
O
O
OHO
OH
H
O
OH
OO
O
O
OH
H
O
OH
OMe
O OH
O
O
H
MeO
OH
O
OHH+
CH(OCH3)3 MeOH
MeOH
O
OHO
OH
H
MeO
Epi-Pleuromutilin
2
+ +
+
+
Pleuromutilin
+
+
++
"Alkene"
2-
+
+
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 13
Kinetic Parameter Fitting
• Actual temperature profiles imposed
• Initial guesses, focus on forward rate constants
– First two reactions expected to be fast
– Pleuromutilin through Epi-Pleuromutilin rates assumed faster than the
conversion to Alkene
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 14
Kinetic Parameter Fitting
• Manually adjust rate constants for rough fit of data, single scenario
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 15
Kinetic Parameter Fitting
• Manually adjust rate constants for rough fit of data for both scenarios
at 25°C
25°C, 0.85eq Acid 25°C, 1.7eq Acid
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 16
Kinetic Parameter Fitting
• Fit reaction rate constants to
both reactions at 25°C
– Acid dissociation and TMOF
‘activation’ reactions not
considered
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 17
Reaction Scheme Refinement
• Incremental reaction scheme refinement employed
• Rate constant fitting repeated for each reaction scheme for both
experiments at 25°C
• Fit statistics compared in selecting the reaction scheme for model
O
OO
OH
H
MeO
H2SO
4H+ SO
4
H+
O
OH
H
O
O
OH
O OH
O
O
H
MeO
OH
O
OHH+
CH(OCH3)3 O
OO
OH
H
MeOH+
Epi-Pleuromutilin
2
+
+
+
Pleuromutilin
++
"Alkene"
2-
+
Epi-Pleuromutilin
+
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 18
Reaction Scheme Selection
5.594
5.248
5.296
Model Selection
Criteria
101.2sec
141.9sec
6.72min
Fit Run Time
2.05e40.39913
9.07e30.43494
7.99e30.43275
F-statisticSSQReactions
• Best fit attained with the simplest reaction scheme
• Sufficient for characterizing acid and temperature effects
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 19
Final Parameter Fitting
• Manually adjust activation energies for a rough fit of data at 40°C
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 20
Final Parameter Fitting
• Fit activation energies with both
experiments at 40°C
• Fit reaction parameters to
experiments at 25°C and 40°C
• Fit reaction parameters to all
experimental data
• Check fit varying initial guesses
• Visually check fit to data
42.26Solution.Rxn2.Keq
6.322Solution.Rxn3.k>
8.138Solution.Rxn2.k>
9.949Solution.Rxn3.Ea>
8.519Solution.Rxn2.Ea>
C.I (%)Parameter
5.322Model selection criteria
2.64E+04F-statistic
1.571SSQ
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 21
Optimization
• Defining an optimum reaction
– Starting material consumption
– Byproduct minimization
– Reaction time minimization
• ‘Optimum’ at maximum acid and temperature
– Single point during reaction, not accounting for decomposition after
optimum reaction time
• Criteria not sufficient for determining best reaction
conditions in this example
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 22
Optimization
• Defining new optimization criteria
– Reaction time = time at maximum product
– Quench window = time to consume 1% of maximum product
• Defining an objective function for optimization requires
discrete reaction time and quench window target times
• Actual goals are constraints
– Reaction time < 8 hours
– Quench window > 2 hours
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 23
Simulated Experimental Design
• Utilize statistical analysis software to model reaction time
and quench window responses
• User defined response surface design
– Simulations utilized to model responses
– Maximize resolution, 29 ‘experiments’
• Acid and temperature fit each response with polynomial
model and logarithmic transformations
– log(reaction time) = a*A + b*T + c*A2 + d*A*T...
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 24
Reaction Time Response Surface
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 25
Quench Window Response Surface
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James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 26
Operating Range
James Wertman
Dynochem User Group Meeting
15-16 May 2007 Page 27
Conclusions & Future Work
• Simplest reaction scheme selected for model providing the best parameter fitting
– Model sufficient to describe effects of acid and temperature only
– Additional experimentation and/or analytical information would be required to further refine the reaction scheme and model
• Dynochem results used in combination with other tools to provide a more complete understanding of the process
– Identified operating range based on desired reaction time and quench window
– Developed a clear relationship of factors to process operation
– Incorporate in-situ analytical measurements with model and verification as developed to further process understanding
• Operating conditions provided to deliver reasonable reaction time yet allow time to perform analysis