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GSK Approach to Enhancing Process
                      Understanding using Dynochem:
                      Reaction Kinetics Example
                      James Wertman
                      Process Engineering
                      GlaxoSmithKline




                                    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

Dynochem User Group Meeting
15-16 May 2007                   James Wertman   Page 1




                                                          1
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




Dynochem User Group Meeting
15-16 May 2007                               James Wertman                      Page 2




                                        Reaction Example

                        O               OH                    O             O                   O
                  HO                                   HO             MeO                 MeO
                            O       H                             O



                                O                                      H                    H

                        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



Dynochem User Group Meeting
15-16 May 2007                               James Wertman                      Page 3




                                                                                                    2
Reaction Example

                       O               OH                    O             O                   O
                 HO                                  HO              MeO                 MeO
                           O       H                             O



                               O                                      H                    H

                       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


Dynochem User Group Meeting
15-16 May 2007                              James Wertman                      Page 4




                               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



Dynochem User Group Meeting
15-16 May 2007                              James Wertman                      Page 5




                                                                                                   3
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


Dynochem User Group Meeting
15-16 May 2007                                                                                 James Wertman                                                                                           Page 6




                                                                                                                 Raw Data
                                                                                                                                                                                                   Pleuromutilin                                                                                                       “Alkene”
                 DAD1 D, Sig=210,4 Ref=360,100 (JW092008-0801.D)

                                                                                                                                                                                                   Epi-Pleuromutilin                                                                                                   Intermediate Species?
                                                                                  10.487




    Norm.
                                                                                                                                                                        t = 0min
     1200

     1000
                                                                                                                          DAD1 D, Sig=210,4 Ref=360,100 (JW092012-1201.D)
      800
                                                                                                                                                                                                       10.494




                                                                                                   Norm.
                                                                                                                                                                                                                                                                                                                                t = 4min
                                                                                                                                                                                                                                                              14.558




      600

                                                                                                        800
      400
                                                                                                                                                                                                                                   12.708
                                                       6.848




      200
                                                                                                        600

        0
                                                                                                        400
             0               2.5             5                 7.5           10             12.5                                    15              17.5                 20                 min
                                                                                                                                                                                                                                                     13.848
                                                                                                                                                                                                                          12.167
                                                                                                                                                                                                                 11.307




                                                                                                                                                                                                                                                                       14.838
                                                                                                                                                                                7.837




                                                                                                                                                                                                                                            13.187




                                                                                                                                                                                                                                                                   15.277




                                                                                                        200
                                                                                                                                                                                                                                                                   15.497


                                                                                                                                                                                                                                                                                            16.705




                                                                                                             0

                                                                                                                      0                   2.5                       5         7.5                 10                        12.5                                       15                            17.5                       20     min
                 DAD1 D, Sig=210,4 Ref=360,100 (JW092021-2101.D)
                                                                                                                           14.548




     Norm.
      1400                                                                                                                                                          t = 64min
     1200
                                                                                                                          DAD1 D, Sig=210,4 Ref=360,100 (JW092035-3501.D)
     1000
                                                                                                                                                                                                                                                              14.532




                                                                                                   Norm.
      800                                                                                                                                                                                                                                                                                                              t = 640min
                                                                                                      1750
      600
                                                                                                    12.706




                                                                                                      1500
                                                                                   10.503




      400
                                                                                              12.901




                                                                                                      1250
                                                                                              13.184
                                                                                                             13.845
                                                                     7.838




                                                                                                                                 14.837
                                                                                                                                15.275




                                                                                                                                                           18.255
                                                                                                                                           16.701




      200
                                                                                                      1000
         0                                                                                               750
                                                                                                                                                                                                                                                                                                       18.076 18.241
                                                                                                                                                                                                                                        12.705
                                                                                                                                                                                                                                       12.900




             0                2.5            5                 7.5           10             12.5                                    15              17.5                 20                 min
                                                                                                                                                                                                                                                                          14.837




                                                                                                         500
                                                                                                                                                                                                        10.504




                                                                                                                                                                                                                                    12.971
                                                                                                                                                                                                                                   13.183
                                                                                                                                                                                                                                                     13.844
                                                                                                                                                                                    7.842




                                                                                                                                                                                                                                                     14.195

                                                                                                                                                                                                                                                                       15.093
                                                                                                                                                                                                                                                                       15.277




                                                                                                                                                                                                                                                                                                                       18.766
                                                                                                                                                                                                                                                                                   15.918

                                                                                                                                                                                                                                                                                            16.705

                                                                                                                                                                                                                                                                                                       17.634
                                                                                                                                                                                                                                                                                                       17.886
                                                                                                                                                                                                                                                                                            17.115




                                                                                                         250

                                                                                                             0

                                                                                                                      0                   2.5                       5         7.5                 10                         12.5                                       15                           17.5                       20     min




Dynochem User Group Meeting
15-16 May 2007                                                                                 James Wertman                                                                                           Page 7




                                                                                                                                                                                                                                                                                                                                               4
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


Dynochem User Group Meeting
15-16 May 2007                               James Wertman                        Page 8




                              Reaction Mechanism

                                      OH
                                              MeOH
                      O                                         O             O                            O
                                            CH(OCH3)3                                          +
                 HO                                      HO             MeO                H         MeO
                          O       H                                 O
                                                   +
                                               H
                              O                                          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


Dynochem User Group Meeting
15-16 May 2007                               James Wertman                        Page 9




                                                                                                               5
Reaction Mechanism
                                   OH                                                   OH                                  O                    OH
          O                                   +                    O
 HO
              O            H
                                             H            HO
                                                                       O
                                                                                                      H
                                                                                                       +
                                                                                                                   HO
                                                                                                                                O
                                                                                                                                         O
                                                                                                                                                       +   MeOH         • Start with reference
                                                                                                                                         H
                                                                                                                                                                          information
                   O                                                       HO
       Pleuromutilin                                                            A                                                        B
                                                                                                                                                                        • Fits experimental
                                                                                                                                              +
                                                                                                                                             H                            observations except
                                                                                        OH
                                                                                                                                                                          for the incorporation
                                                                   O                                                        O                     OH

                                         H2O          +
                                                          HO
                                                                       O
                                                                                O
                                                                                    +
                                                                                                      H
                                                                                                       +
                                                                                                                   HO
                                                                                                                                O
                                                                                                                                         HO
                                                                                                                                         O
                                                                                                                                                                          of TMOF
                                                                                H                                                        H
                                                                                D                                                        C




                                                                   O                    O                                                          O
                                                          HO                MeO                            +                             MeO
                                                                       O                      +       H


                                                                                H                                                            H
                                                                                                                                        "Alkene"
                                                                   Epi-Pleuromutilin

                                         1   H. Berner, G. Schulz, and H. Schneider,
                                               Tetrahedron 36, 1807 (1979).


 Dynochem User Group Meeting
 15-16 May 2007                                                                                   James Wertman                                                   Page 10




                                   Reaction Scheme for Modeling
                                                                                    +                 2-
                                                 H2SO4                      2 H          +    SO4


                  CH(OCH3)3              +        H
                                                      +
                                                                                    O         O
                                                                                                  +
                                                                                                               +        MeOH                           • Mechanistically relevant
                                                                                                                                                         reaction scheme
                                                 O                     OH                                      O                     OH

      O            O
                       +
                                   +
                                        HO
                                                      O        H
                                                                                                  HO
                                                                                                                    O           H
                                                                                                                                                       • Actual structures of
                                                                                                                                                         intermediates and byproducts
                                                           O                                                                O +

                                                  Pleuromutilin
                                                                                                                   O
                                                                                                                        O
                                                                                                                                                         selected only to fulfill mass
                                                                                                                                                         balances, no analytical
                                                                                                                                MeOH
                                                                                                                                                         information available
                    O                        OH
                                                                            HO
                                                                                         O                         OH
                                                                                                                                                       • Concurs with experimental
          HO
                               O
                                       MeO                                                    O            H                +            O
                                                                                                                                                         observations
                                        +
                                                                                                                                    O        OH
                                                                                                          +
                                        H                                                                      OMe




      O                            O                                                          O
HO                                                                                      MeO                                     O
                  MeO                             +
          O                             +     H
                                                                                                              +    HO
                                                                                                                                    OH

                    H                                                                    H
     Epi-Pleuromutilin                                                              "Alkene"


 Dynochem User Group Meeting
 15-16 May 2007                                                                                   James Wertman                                                   Page 11




                                                                                                                                                                                                  6
Dynochem Setup
                                                                      +               2-
                                                                                  SO4
                                       H2SO4                    2 H       +
                                               +                                  +
                CH(OCH3)3          +       H                         O        O             +        MeOH


                                       O                   OH                                   O                    OH
                     +           HO                                               HO
       O         O           +                 O       H                                            O           H



                                                   O                                            O           O +

                                           Pleuromutilin                                                O


                                                                                                                MeOH


                                                                          O                         OH
                  O                    OH
                                                                HO
           HO
                         O
                                 MeO                                          O         H                   +            O
                                  +
                                                                                                                    O        OH
                                                                                        +
                                  H                                                         OMe




       O                     O                                                O
 HO                                                                                                          O
                MeO                        +                          MeO
           O                      +    H
                                                                                            +       HO
                                                                                                                    OH

                  H                                                       H
      Epi-Pleuromutilin                                              "Alkene"




Dynochem User Group Meeting
15-16 May 2007                                                                        James Wertman                               Page 12




                                               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




Dynochem User Group Meeting
15-16 May 2007                                                                        James Wertman                               Page 13




                                                                                                                                            7
Kinetic Parameter Fitting
  • Manually adjust rate constants for rough fit of data, single scenario




Dynochem User Group Meeting
15-16 May 2007                     James Wertman   Page 14




                       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



Dynochem User Group Meeting
15-16 May 2007                     James Wertman   Page 15




                                                                              8
Kinetic Parameter Fitting
  • Fit reaction rate constants to
    both reactions at 25°C
        – Acid dissociation and TMOF
          ‘activation’ reactions not
          considered




Dynochem User Group Meeting
15-16 May 2007                                      James Wertman                      Page 16




               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
                                                                         +              2-
                                                                                      SO4
                                                          H2SO 4    2 H       +

                                          O                 OH               O                  O
                                    HO                              HO                 MeO                   O
         CH(OCH3)3    +   H
                            +
                                +              O      H                          O                  +                 +   +
                                                                                                                          H
                                                                                                         O       OH

                                                   O                                        H
                                               Pleuromutilin                 Epi-Pleuromutilin



                                O               O                                      O
                                                                                                         O
                       HO                MeO                   +              MeO
                                    O                  +      H                                 +   HO
                                                                                                             OH

                                          H                                       H
                                Epi-Pleuromutilin                            "Alkene"


Dynochem User Group Meeting
15-16 May 2007                                      James Wertman                      Page 17




                                                                                                                              9
Reaction Scheme Selection

                                                   Model Selection
  Reactions               SSQ        F-statistic                     Fit Run Time
                                                      Criteria

         5               0.4327        7.99e3           5.296          6.72min

         4               0.4349        9.07e3           5.248         141.9sec

         3               0.3991        2.05e4           5.594         101.2sec


  • Best fit attained with the simplest reaction scheme
  • Sufficient for characterizing acid and temperature effects



Dynochem User Group Meeting
15-16 May 2007                    James Wertman       Page 18




                          Final Parameter Fitting
  • Manually adjust activation energies for a rough fit of data at 40°C




Dynochem User Group Meeting
15-16 May 2007                    James Wertman       Page 19




                                                                                    10
Final Parameter Fitting
  • Fit activation energies with both          Parameter                  C.I (%)
    experiments at 40°C                        Solution.Rxn2.Ea>          8.519
  • Fit reaction parameters to                 Solution.Rxn3.Ea>          9.949
    experiments at 25°C and 40°C               Solution.Rxn2.k>           8.138
  • Fit reaction parameters to all             Solution.Rxn3.k>           6.322
    experimental data
                                               Solution.Rxn2.Keq          42.26
  • Check fit varying initial guesses
  • Visually check fit to data
                                               SSQ                            1.571


                                               F-statistic                2.64E+04


                                               Model selection criteria       5.322



Dynochem User Group Meeting
15-16 May 2007                 James Wertman            Page 20




                               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




Dynochem User Group Meeting
15-16 May 2007                 James Wertman            Page 21




                                                                                      11
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




Dynochem User Group Meeting
15-16 May 2007                James Wertman       Page 22




            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...




Dynochem User Group Meeting
15-16 May 2007                James Wertman       Page 23




                                                                   12
Reaction Time Response Surface




Dynochem User Group Meeting
15-16 May 2007                James Wertman   Page 24




      Quench Window Response Surface




Dynochem User Group Meeting
15-16 May 2007                James Wertman   Page 25




                                                        13
Operating Range




Dynochem User Group Meeting
15-16 May 2007                  James Wertman         Page 26




                  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


Dynochem User Group Meeting
15-16 May 2007                  James Wertman         Page 27




                                                                                       14

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GSK approach to enhancing process understanding using DynoChem: reaction kinetics examples. James Wertman.

  • 1. GSK Approach to Enhancing Process Understanding using Dynochem: Reaction Kinetics Example James Wertman Process Engineering GlaxoSmithKline 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 1 1
  • 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 2 Reaction Example O OH O O O HO HO MeO MeO O H O O H H 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 3 2
  • 3. Reaction Example O OH O O O HO HO MeO MeO O H O O H H 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 4 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 5 3
  • 4. 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 6 Raw Data Pleuromutilin “Alkene” DAD1 D, Sig=210,4 Ref=360,100 (JW092008-0801.D) Epi-Pleuromutilin Intermediate Species? 10.487 Norm. t = 0min 1200 1000 DAD1 D, Sig=210,4 Ref=360,100 (JW092012-1201.D) 800 10.494 Norm. t = 4min 14.558 600 800 400 12.708 6.848 200 600 0 400 0 2.5 5 7.5 10 12.5 15 17.5 20 min 13.848 12.167 11.307 14.838 7.837 13.187 15.277 200 15.497 16.705 0 0 2.5 5 7.5 10 12.5 15 17.5 20 min DAD1 D, Sig=210,4 Ref=360,100 (JW092021-2101.D) 14.548 Norm. 1400 t = 64min 1200 DAD1 D, Sig=210,4 Ref=360,100 (JW092035-3501.D) 1000 14.532 Norm. 800 t = 640min 1750 600 12.706 1500 10.503 400 12.901 1250 13.184 13.845 7.838 14.837 15.275 18.255 16.701 200 1000 0 750 18.076 18.241 12.705 12.900 0 2.5 5 7.5 10 12.5 15 17.5 20 min 14.837 500 10.504 12.971 13.183 13.844 7.842 14.195 15.093 15.277 18.766 15.918 16.705 17.634 17.886 17.115 250 0 0 2.5 5 7.5 10 12.5 15 17.5 20 min Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 7 4
  • 5. 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 8 Reaction Mechanism OH MeOH O O O O CH(OCH3)3 + HO HO MeO H MeO O H O + H O 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 9 5
  • 6. Reaction Mechanism OH OH O OH O + O HO O H H HO O H + HO O O + MeOH • Start with reference H information O HO Pleuromutilin A B • Fits experimental + H observations except OH for the incorporation O O OH H2O + HO O O + H + HO O HO O of TMOF H H D C O O O HO MeO + MeO O + H H H "Alkene" Epi-Pleuromutilin 1 H. Berner, G. Schulz, and H. Schneider, Tetrahedron 36, 1807 (1979). Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 10 Reaction Scheme for Modeling + 2- H2SO4 2 H + SO4 CH(OCH3)3 + H + O O + + MeOH • Mechanistically relevant reaction scheme O OH O OH O O + + HO O H HO O H • Actual structures of intermediates and byproducts O O + Pleuromutilin O O selected only to fulfill mass balances, no analytical MeOH information available O OH HO O OH • Concurs with experimental HO O MeO O H + O observations + O OH + H OMe O O O HO MeO O MeO + O + H + HO OH H H Epi-Pleuromutilin "Alkene" Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 11 6
  • 7. Dynochem Setup + 2- SO4 H2SO4 2 H + + + CH(OCH3)3 + H O O + MeOH O OH O OH + HO HO O O + O H O H O O O + Pleuromutilin O MeOH O OH O OH HO HO O MeO O H + O + O OH + H OMe O O O HO O MeO + MeO O + H + HO OH H H Epi-Pleuromutilin "Alkene" Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 12 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 13 7
  • 8. Kinetic Parameter Fitting • Manually adjust rate constants for rough fit of data, single scenario Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 14 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 15 8
  • 9. Kinetic Parameter Fitting • Fit reaction rate constants to both reactions at 25°C – Acid dissociation and TMOF ‘activation’ reactions not considered Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 16 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 + 2- SO4 H2SO 4 2 H + O OH O O HO HO MeO O CH(OCH3)3 + H + + O H O + + + H O OH O H Pleuromutilin Epi-Pleuromutilin O O O O HO MeO + MeO O + H + HO OH H H Epi-Pleuromutilin "Alkene" Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 17 9
  • 10. Reaction Scheme Selection Model Selection Reactions SSQ F-statistic Fit Run Time Criteria 5 0.4327 7.99e3 5.296 6.72min 4 0.4349 9.07e3 5.248 141.9sec 3 0.3991 2.05e4 5.594 101.2sec • Best fit attained with the simplest reaction scheme • Sufficient for characterizing acid and temperature effects Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 18 Final Parameter Fitting • Manually adjust activation energies for a rough fit of data at 40°C Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 19 10
  • 11. Final Parameter Fitting • Fit activation energies with both Parameter C.I (%) experiments at 40°C Solution.Rxn2.Ea> 8.519 • Fit reaction parameters to Solution.Rxn3.Ea> 9.949 experiments at 25°C and 40°C Solution.Rxn2.k> 8.138 • Fit reaction parameters to all Solution.Rxn3.k> 6.322 experimental data Solution.Rxn2.Keq 42.26 • Check fit varying initial guesses • Visually check fit to data SSQ 1.571 F-statistic 2.64E+04 Model selection criteria 5.322 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 20 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 21 11
  • 12. 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 22 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... Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 23 12
  • 13. Reaction Time Response Surface Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 24 Quench Window Response Surface Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 25 13
  • 14. Operating Range Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 26 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 Dynochem User Group Meeting 15-16 May 2007 James Wertman Page 27 14