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Using Dynochem to determine a
suitable sampling endpoint in a
DOE

David W. Place, Ph. D.
401 N Middletown Rd
B222/2149
Pearl River, NY 10965

May 13-14, 2009
Outline


 I.    Comments on DoE Assessment Process
 II.   Case Study: Finkelstein activated alkylation
           Establish control over impurity formation that carries through to API
 III. Importance of sampling endpoint
           Understand kinetics in order to remove time as a factor from the DoE
 IV. Data Fitting: Establishing k’s and Ea’s
 V.    Simulating Alternate Design Points
           Refine Factor/CPP ranges based on Dynochem solved kinetic model
 VI. Summary



       2                           D. Place
I. DOE Investigation
Assessment process


                     Increasing Process Predictability



                                                  Fractional            Response
 Reproducibility        Kinetic
                                                   Factorial          Surface Model
  Assessment          Assessment
                                                     DOE                   DOE




   Validation that   Understanding of          Establish/identify     Generate predictive
  Parameters NOT      Factor ranges to        Most important CPPs      Equation for CQA
  investigated are   establish suitable       And their rank order/   based on important
  being controlled   process endpoints            interactions               CPPs




        3                          D. Place
II. Case Study: Finkelstein activated alkylation

                                           N             y NaI
                                                                        R    N
                    R   Cl      +   x
                                                         50-82 C                   N
                                           N
                                           H          z parts Solvent
                 “substrate”            “amine”                             “product”

                                                                                         Parts
              Experiment                Amine                NaI            Temp
                                                                                        Solvent
                                    mol equiv            mol equiv          degC         mL/g
              A (low)                   2                    0               50            4
              B (centerpoint)         3.5                  0.5               66           5.5
              C (repeat)              3.5                  0.5               66           5.5
              D (High)                  5                    1               82            7

 Issue: Reaction Conditions lead to formation of a quaternary salt (0.1- 2%)
 impurity that carries through into the API and is difficult to remove.

 Approach: Use a Fractional Factorial Res V design to determine critical
 process parameters (CPPs) to control Quat Salt formation

 Problem: Reaction mixture is heterogeneous requiring sacrificial quench
 of entire reaction mixture to determine impurity profile

      4                                    D. Place
Dynochem Models used

 n   Model: Dynochem’s Yield loss from side reactions (batch)
 n   Data: HPLC assay data for substrate and product converted to
     mmol via calibration curves
 n   Assumption: Use simplest mechanism to describe conversion
                                          N
                                                                       R        N
           k1     R   Cl   +       x
                                                                                        N
                                                                                                + HCl
                                          N            50-82 C
                                          H         z parts Solvent
                 “substrate”           “amine”                          “product”

           k2     R   Cl       +       y NaI
                                                       50-82 C
                                                                            R       I           + NaCl
                                                    z parts Solvent    “intermediate”
                                          N
                                                                       R        N
           k3     R   I    +       x                                                            + HI
                                                       50-82 C                          N
                                          N
                                          H         z parts Solvent


                                   R     N                              R       N           R
                           +
           k4     R   Cl
                                               N        50-82 C                         N
                                                     z parts Solvent                        Cl-

                                                                           “impurity”



      5                                  D. Place
III. Importance of Sampling Endpoint
Removing time as a factor from the DoE
    If an adequate Kinetic model of the mechanism can be elucidated:
        Dynochem Simulator can be used to scope out suitable endpoints
        DoE factor (CPP) ranges can be investigated prior to committing
       time/resources




                   3.5 mol%

                               <1 mol% from Previous batch experience
             9h         15 h


* Simulated using Dynochem’s Yield loss from side reactions (batch) Model


         6                              D. Place
IV. Data Fitting: Procedure to fit rate
constants and Ea
                       k1     substrate      +   amine         >    product        + HCl
                       k2     substrate      +   NaI           >    intermediate   + NaCl
 Process sheet         k3     intermediate   +   amine         >    product        + HI
                       k4     product        +   substrate     >    impurity
                                                                                    Parts
                     Experiment          Amine               NaI         Temp
                                                                                   Solvent
                                        mol equiv       mol equiv         degC      mL/g
                     A (low)                2               0              50         4
 Scenario Sheet      B (centerpoint)      3.5             0.5              66        5.5
                     C (repeat)           3.5             0.5              66        5.5
                     D (High)               5               1              82         7

1. Translate mechanistic proposal into process sheet
2. Translate design factors into the scenarios sheet
3. HPLC Area count data converted to mmol for substrate
   and product using reference standard calibration curves
4. Use Dynochem fitting engine to solve 4 k’s and 4 Ea’s

       7                    D. Place
Yield loss from side reactions (batch)
Modified to model suspected reaction mechanism




                                         Data Sheet




 Scenario Sheet




      8                 D. Place
Dynochem Fits of Experimental Data

         Low factors, 50C No NaI 2 equiv amine 4 parts
                               7.5
                                                                                                         Centerpoint values, 66C 0.5 equiv NaI 3.5 equiv amine
                                                                                                           Solution.product (Exp) (mmol)
                                                                                                         5.5 parts
                                                                                                           Solution.substrate (Exp) (mmol)

                               6.0
                                                             A                                                5.0
                                                                                                           Solution.impurity (mmol)
                                                                                                           Solution.product (mmol)
                                                                                                                                                      High factors, 82C 1 equiv NaI 5 equiv amine 7 parts
                                                                                                                                                         Solution.product (Exp) (mmol)
                                                                                                                                                            7.5
                                                                                                                                                         Solution.substrate (Exp) (mmol)
                                                                                                           Solution.substrate (mmol)            B&C      Solution.impurity (mmol)
                                                                                                                                                                                                     Solution.product (Exp) (mmol)
                                                                                                                                                                                                     Solution.substrate (Exp) (mmol)
                                                                                                              4.0                                        Solution.product (mmol)                     Solution.impurity (mmol)                     D
Process profile (see legend)




                                                                                                                                                         Solution.substrate (mmol)                   Solution.product (mmol)
                                                                                                                                                            6.0
                               4.5
                                                                                                Process profile (see legend)                                                                         Solution.substrate (mmol)
                                                                                                                               3.0




                                                                                                                                                                                          Process profile (see legend)
                                                                                                                                                                                                                         4.5
                               3.0

                                                                                                                               2.0


                                                                                                                                                                                                                         3.0
                               1.5

                                                                                                                               1.0


                                                                                                                                                                                                                         1.5
                               0.0
                                  0.0       361.2    722.4     1.084E+3   1.445E+3   1.806E+3
                                                         Time (min)                                                            0.0
                                                                                                                                  0.0   336.2   672.4    1.009E+3   1.345E+3   1.681E+3
                                                                                                                                                   Time (min)
                                                                                                                                                                                                                         0.0
                                                                                                                                                                                                                            0.0   336.2   672.4    1.009E+3   1.345E+3   1.681E+3
                               S/P      R2          = 0.97/0.98                                                                S/P      R2      = 0.99/0.98                                                                                  Time (min)



                                                                                                                                                                                                                               S/P R2 = 0.99/0.97

                                        n     Model fits substrate loss fairly well over the set of data
                                        n     Model overestimates impurity content – model refinement necessary



                                                     9                                                                                                    D. Place
Fitting Summary

        SCENARIO 4
        k1         substrate      +   amine         >   product        + HCl
        k2         substrate      +   NaI           >   intermediate   + NaCl
        k3         intermediate   +   amine         >   product        + HI
        k4         product        +   substrate     >   impurity

        k        10-5 L/mol s Ea                  kJ/mol               kcal/mol
        k1        1.1 +/-0.2      Ea1             40 +/- 9             9 +/- 2
        k2        34 +/- 6        Ea2                   -                 -
        k3       3.7 +/- 0.7 Ea3                 100 +/- 30            24 +/- 6
        k4       5.0 +/- 0.8 Ea4                 90 +/- 10             23 +/- 3

             n    k values reported at T(ref) = 66 C


   10                                 D. Place
V. Simulating Alternate Design Points


   n   Criteria for the reaction:
            Reaction completed to <1% substrate
            Reactions time <30h.
   n   Question: Which ranges of CPPs will fit the criteria?
   Process sheet
    Variables Yield                          %
                molpctSM                     %

    Calculate Yield:=         solution.product / solution.substrate.Y0
                molpctSM:=    solution.substrate / solution.substrate.Y0
                End time:=    if(molpctSM<0.01,time,14400)




       11                         D. Place
Searching for New CPP Ranges
Use the Dynochem Simulator




                            Endpoint at 1 mol% substrate




     12                 D. Place
Reaction Endpoint Predictions

n   Initial Design points predict Reaction endpoints between 8h and
    136h @ <1% substrate
                                                           Parts    Reaction
 Experiment            Amine                 NaI   Temp
                                                          Solvent   Endpoint
                      mol equiv       mol equiv    degC    mL/g        h
 A (low)                  2               0         50       4        136
 B&C (centerpoint)      3.5             0.5         66      5.5       30
 D (High)                 5               1         82       7         8




 A' (corner point)       2                    0     50      7         261
 D' (corner point)       5                    1     82      4          4

n   Simulation of alternate design points actually suggests that the
    reaction endpoint will vary between 4 and 261 h within the design
    space – the CPP ranges need to be altered to meet the criteria

        13                        D. Place
Influence of CPP “decrease” on Reaction Endpoint



                                                           Parts    Reaction
Experiment             Amine                 NaI   Temp
                                                          Solvent   Endpoint
                      mol equiv        mol equiv   degC    mL/g        h
B&C (centerpoint)       3.5              0.5        66      5.5       29
Scenario 1                2              0.5        66      5.5       47
Scenario 2              3.5                0        66      5.5       43
Scenario 3              3.5              0.5        50      5.5       70
Scenario 4              3.5              0.5        66       7        38

n   Reaction Temperature is the most influential parameter governing
    reaction endpoint.
n   Rank order: Rxn Temp > Amine > NaI mol > Parts Solvent




        14                        D. Place
Identifying a new "All-factors-low" design point
Temperature effects

                                                                        Parts    Reaction
 Experiment                   Amine                 NaI    Temp
                                                                       Solvent   Endpoint
                             mol equiv        mol equiv    degC         mL/g        h
 A (low)                         2                0         50            4        136
 Scenario 1                      2                0         66            4        52
 Scenario 2                      2                0         66            7        99
 Scenario 2A                     2                0         68            7        89
 Scenario 2B                     2                0         70            7        81
 Scenario 2C                     2                0         72            7        73
 Scenario 2D                     2                0         82            7        44

 n   In order to preserve Amine CPP range between 2-5 mol equiv and
     NaI CPP range to 0-1:
        Parts solvent CPP would need to be set to <4 parts to meet criteria
                                                -OR-
        Reaction Temperature CPP would need to have its lowest value set to > 82 degC to
        meet criteria



        15                               D. Place
Identifying a new "All-factors-low" design point
NaI effects

                                                                 Parts    Reaction
Experiment                 Amine                 NaI   Temp
                                                                Solvent   Endpoint
                          mol equiv        mol equiv   degC      mL/g        h
A (low)                       2                0        50         4        136
Scenario 1                    2                0        66         4        52
Scenario 2                    2                0        66         7        99
Scenario 2E                   2              0.1        66         7        91
Scenario 2F                   2              0.2        66         7        86
Scenario 2G                   2              0.3        66         7        78
Scenario 2H                   2              0.5        66         7        61
Scenario 2I                   2              0.9        66         7        28

 n   In order to preserve Amine CPP range between 2-5 mol equiv and
     Reaction Temperature CPP range to 66-82 degC
        NaI CPP would need to have its lowest value set to 0.9 mol equiv to meet
        criteria



        16                            D. Place
Conclusion: The Trade-Off

                                                                            Parts    Reaction
Experiment                     Amine             NaI           Temp
                                                                           Solvent   Endpoint
                              mol equiv      mol equiv         degC         mL/g        h
A' (low) - Old Design Point       2              0              50            7        261
New "low" Design Point            2            0.5              72            6        29




                  New and Recommended CPP ranges for DoE
                        based on kinetic assessment
              CPP                    Unit                Low          Centerpoint    High
             Amine                 mol equiv               2              3.5          5
               NaI                 mol equiv             0.5              1.5         2.5
              Temp                  degC                  72              77          82
          Parts Solvent              ml/g                  5              5.5          6



         17                               D. Place
VI. Summary


n   A Kinetic assessment of the reaction prior to running a
    DoE is essential to ensure proper choice of design
    factor ranges.
n   If an adequate Kinetic model of the mechanism can be
    elucidated DoE factor (CPP) ranges can be
    investigated prior to committing time & resources
n   Dynochem is a powerful tool that enables the process
    chemist to leverage data collected from 4 “shake-
    down” runs.




       18                 D. Place
Acknowledgements




               Jianxin Ren


             Michael O’Brien
               Marty Guinn


               Peter Clark




   19              D. Place

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Using Dynochem to determine a suitable sampling endpoint in a DoE. David Place.

  • 1. Using Dynochem to determine a suitable sampling endpoint in a DOE David W. Place, Ph. D. 401 N Middletown Rd B222/2149 Pearl River, NY 10965 May 13-14, 2009
  • 2. Outline I. Comments on DoE Assessment Process II. Case Study: Finkelstein activated alkylation Establish control over impurity formation that carries through to API III. Importance of sampling endpoint Understand kinetics in order to remove time as a factor from the DoE IV. Data Fitting: Establishing k’s and Ea’s V. Simulating Alternate Design Points Refine Factor/CPP ranges based on Dynochem solved kinetic model VI. Summary 2 D. Place
  • 3. I. DOE Investigation Assessment process Increasing Process Predictability Fractional Response Reproducibility Kinetic Factorial Surface Model Assessment Assessment DOE DOE Validation that Understanding of Establish/identify Generate predictive Parameters NOT Factor ranges to Most important CPPs Equation for CQA investigated are establish suitable And their rank order/ based on important being controlled process endpoints interactions CPPs 3 D. Place
  • 4. II. Case Study: Finkelstein activated alkylation N y NaI R N R Cl + x 50-82 C N N H z parts Solvent “substrate” “amine” “product” Parts Experiment Amine NaI Temp Solvent mol equiv mol equiv degC mL/g A (low) 2 0 50 4 B (centerpoint) 3.5 0.5 66 5.5 C (repeat) 3.5 0.5 66 5.5 D (High) 5 1 82 7 Issue: Reaction Conditions lead to formation of a quaternary salt (0.1- 2%) impurity that carries through into the API and is difficult to remove. Approach: Use a Fractional Factorial Res V design to determine critical process parameters (CPPs) to control Quat Salt formation Problem: Reaction mixture is heterogeneous requiring sacrificial quench of entire reaction mixture to determine impurity profile 4 D. Place
  • 5. Dynochem Models used n Model: Dynochem’s Yield loss from side reactions (batch) n Data: HPLC assay data for substrate and product converted to mmol via calibration curves n Assumption: Use simplest mechanism to describe conversion N R N k1 R Cl + x N + HCl N 50-82 C H z parts Solvent “substrate” “amine” “product” k2 R Cl + y NaI 50-82 C R I + NaCl z parts Solvent “intermediate” N R N k3 R I + x + HI 50-82 C N N H z parts Solvent R N R N R + k4 R Cl N 50-82 C N z parts Solvent Cl- “impurity” 5 D. Place
  • 6. III. Importance of Sampling Endpoint Removing time as a factor from the DoE If an adequate Kinetic model of the mechanism can be elucidated: Dynochem Simulator can be used to scope out suitable endpoints DoE factor (CPP) ranges can be investigated prior to committing time/resources 3.5 mol% <1 mol% from Previous batch experience 9h 15 h * Simulated using Dynochem’s Yield loss from side reactions (batch) Model 6 D. Place
  • 7. IV. Data Fitting: Procedure to fit rate constants and Ea k1 substrate + amine > product + HCl k2 substrate + NaI > intermediate + NaCl Process sheet k3 intermediate + amine > product + HI k4 product + substrate > impurity Parts Experiment Amine NaI Temp Solvent mol equiv mol equiv degC mL/g A (low) 2 0 50 4 Scenario Sheet B (centerpoint) 3.5 0.5 66 5.5 C (repeat) 3.5 0.5 66 5.5 D (High) 5 1 82 7 1. Translate mechanistic proposal into process sheet 2. Translate design factors into the scenarios sheet 3. HPLC Area count data converted to mmol for substrate and product using reference standard calibration curves 4. Use Dynochem fitting engine to solve 4 k’s and 4 Ea’s 7 D. Place
  • 8. Yield loss from side reactions (batch) Modified to model suspected reaction mechanism Data Sheet Scenario Sheet 8 D. Place
  • 9. Dynochem Fits of Experimental Data Low factors, 50C No NaI 2 equiv amine 4 parts 7.5 Centerpoint values, 66C 0.5 equiv NaI 3.5 equiv amine Solution.product (Exp) (mmol) 5.5 parts Solution.substrate (Exp) (mmol) 6.0 A 5.0 Solution.impurity (mmol) Solution.product (mmol) High factors, 82C 1 equiv NaI 5 equiv amine 7 parts Solution.product (Exp) (mmol) 7.5 Solution.substrate (Exp) (mmol) Solution.substrate (mmol) B&C Solution.impurity (mmol) Solution.product (Exp) (mmol) Solution.substrate (Exp) (mmol) 4.0 Solution.product (mmol) Solution.impurity (mmol) D Process profile (see legend) Solution.substrate (mmol) Solution.product (mmol) 6.0 4.5 Process profile (see legend) Solution.substrate (mmol) 3.0 Process profile (see legend) 4.5 3.0 2.0 3.0 1.5 1.0 1.5 0.0 0.0 361.2 722.4 1.084E+3 1.445E+3 1.806E+3 Time (min) 0.0 0.0 336.2 672.4 1.009E+3 1.345E+3 1.681E+3 Time (min) 0.0 0.0 336.2 672.4 1.009E+3 1.345E+3 1.681E+3 S/P R2 = 0.97/0.98 S/P R2 = 0.99/0.98 Time (min) S/P R2 = 0.99/0.97 n Model fits substrate loss fairly well over the set of data n Model overestimates impurity content – model refinement necessary 9 D. Place
  • 10. Fitting Summary SCENARIO 4 k1 substrate + amine > product + HCl k2 substrate + NaI > intermediate + NaCl k3 intermediate + amine > product + HI k4 product + substrate > impurity k 10-5 L/mol s Ea kJ/mol kcal/mol k1 1.1 +/-0.2 Ea1 40 +/- 9 9 +/- 2 k2 34 +/- 6 Ea2 - - k3 3.7 +/- 0.7 Ea3 100 +/- 30 24 +/- 6 k4 5.0 +/- 0.8 Ea4 90 +/- 10 23 +/- 3 n k values reported at T(ref) = 66 C 10 D. Place
  • 11. V. Simulating Alternate Design Points n Criteria for the reaction: Reaction completed to <1% substrate Reactions time <30h. n Question: Which ranges of CPPs will fit the criteria? Process sheet Variables Yield % molpctSM % Calculate Yield:= solution.product / solution.substrate.Y0 molpctSM:= solution.substrate / solution.substrate.Y0 End time:= if(molpctSM<0.01,time,14400) 11 D. Place
  • 12. Searching for New CPP Ranges Use the Dynochem Simulator Endpoint at 1 mol% substrate 12 D. Place
  • 13. Reaction Endpoint Predictions n Initial Design points predict Reaction endpoints between 8h and 136h @ <1% substrate Parts Reaction Experiment Amine NaI Temp Solvent Endpoint mol equiv mol equiv degC mL/g h A (low) 2 0 50 4 136 B&C (centerpoint) 3.5 0.5 66 5.5 30 D (High) 5 1 82 7 8 A' (corner point) 2 0 50 7 261 D' (corner point) 5 1 82 4 4 n Simulation of alternate design points actually suggests that the reaction endpoint will vary between 4 and 261 h within the design space – the CPP ranges need to be altered to meet the criteria 13 D. Place
  • 14. Influence of CPP “decrease” on Reaction Endpoint Parts Reaction Experiment Amine NaI Temp Solvent Endpoint mol equiv mol equiv degC mL/g h B&C (centerpoint) 3.5 0.5 66 5.5 29 Scenario 1 2 0.5 66 5.5 47 Scenario 2 3.5 0 66 5.5 43 Scenario 3 3.5 0.5 50 5.5 70 Scenario 4 3.5 0.5 66 7 38 n Reaction Temperature is the most influential parameter governing reaction endpoint. n Rank order: Rxn Temp > Amine > NaI mol > Parts Solvent 14 D. Place
  • 15. Identifying a new "All-factors-low" design point Temperature effects Parts Reaction Experiment Amine NaI Temp Solvent Endpoint mol equiv mol equiv degC mL/g h A (low) 2 0 50 4 136 Scenario 1 2 0 66 4 52 Scenario 2 2 0 66 7 99 Scenario 2A 2 0 68 7 89 Scenario 2B 2 0 70 7 81 Scenario 2C 2 0 72 7 73 Scenario 2D 2 0 82 7 44 n In order to preserve Amine CPP range between 2-5 mol equiv and NaI CPP range to 0-1: Parts solvent CPP would need to be set to <4 parts to meet criteria -OR- Reaction Temperature CPP would need to have its lowest value set to > 82 degC to meet criteria 15 D. Place
  • 16. Identifying a new "All-factors-low" design point NaI effects Parts Reaction Experiment Amine NaI Temp Solvent Endpoint mol equiv mol equiv degC mL/g h A (low) 2 0 50 4 136 Scenario 1 2 0 66 4 52 Scenario 2 2 0 66 7 99 Scenario 2E 2 0.1 66 7 91 Scenario 2F 2 0.2 66 7 86 Scenario 2G 2 0.3 66 7 78 Scenario 2H 2 0.5 66 7 61 Scenario 2I 2 0.9 66 7 28 n In order to preserve Amine CPP range between 2-5 mol equiv and Reaction Temperature CPP range to 66-82 degC NaI CPP would need to have its lowest value set to 0.9 mol equiv to meet criteria 16 D. Place
  • 17. Conclusion: The Trade-Off Parts Reaction Experiment Amine NaI Temp Solvent Endpoint mol equiv mol equiv degC mL/g h A' (low) - Old Design Point 2 0 50 7 261 New "low" Design Point 2 0.5 72 6 29 New and Recommended CPP ranges for DoE based on kinetic assessment CPP Unit Low Centerpoint High Amine mol equiv 2 3.5 5 NaI mol equiv 0.5 1.5 2.5 Temp degC 72 77 82 Parts Solvent ml/g 5 5.5 6 17 D. Place
  • 18. VI. Summary n A Kinetic assessment of the reaction prior to running a DoE is essential to ensure proper choice of design factor ranges. n If an adequate Kinetic model of the mechanism can be elucidated DoE factor (CPP) ranges can be investigated prior to committing time & resources n Dynochem is a powerful tool that enables the process chemist to leverage data collected from 4 “shake- down” runs. 18 D. Place
  • 19. Acknowledgements Jianxin Ren Michael O’Brien Marty Guinn Peter Clark 19 D. Place