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Use of DynoChem in Process Development
          by Wilfried Hoffmann
Old: Chemical R&D, Sandwich, UK
     Worldwide Pharmaceutical Sciences

New: Scale-up Systems, Dublin, Ireland

         DynoChem           Scale-up Systems   1
The Fundamental Problem of Scale-up

The major objective of Process Development is the design of a sequence of
operations, which allow the safe and ecologically responsible manufacturing
of Active Pharmaceutical Ingredients at a scale demanded by market, in a
quality demanded by Regulatory Authorities, and at the lowest achievable
cost

This development is based on lab scale experiments




                          ?
The Fundamental Problem of Scale-up

Traditional approach:

Lab Reaction Development               Pre Scale-up               Scale-up

   Lab                              Robustness testing            Risk of
                   Design          Process Safety testing
Experiments                                                       Failure


This approach underestimates the effects of physical rates
on the overall performance


                                                 are functions of scale
- rate of heat transfer
                                                 and equipment and
- various rates of mass transfer
                                                 can compete with
- various rates of mixing
                                                 chemical rates
The Fundamental Problem of Scale-up

     Process Development needs to consider scale and equipment


As large scale development experiments are prohibitive with respect to
cost, safety, and time but large scale performance information is required
the solution is:

                        Process Modelling


Process Modelling allows the prediction of the interactions of chemical and
physical rates as a function of operating conditions, scale, and equipment
The Fundamental Problem of Scale-up

  Lab Design approach => Model based approach:

Process Understanding based
                                         Design                   Scale-up
     Model Generation
                                 Model + Equipment data
     Lab            Data                                      Predicted
                                  Large Scale Process
  Experiments      (Model)                                   Performance
                                      Optimization

Experiments are performed to generate Process Understanding, not
necessarily to get good yields in the lab.
This Process Understanding is then captured by First Principles
Mechanistic Models

A software package used by Pfizer which supports the generation and
capture of this information is Scale-up Systems’ DynoChem
Process Understanding

What is Process Understanding?
In this context Process Understanding is the necessary required knowledge
to allow predictions on the process behaviour on scale
How can we access this knowledge?

The first action is an analysis of the different rate processes (elements)
in our process (for illustration I am using a chemical reaction, but the
same principles can be applied to other unit operations)
DynoChem uses a visualisation tool, which is very useful for the early part
of this modelling approach

In the following this tool will be demonstrated for a semibatch reaction in a
jacketed reactor with a solid phase present
Process Understanding


FEED TANK                 BULK LIQUID            Solvent, Tr0      Element 1:
                                                                   The chemical rxn system
                                                 Chemistry
                                                                   Including heat generation
Solvent, A,
T dos                                                              Element 2:
                                                                   Heat transfer
              Flow rate
                                        B
                                                           UA      Element 3:
                                        (kLa)1              Heat   Dosing mass transfer
                              B (s)                         out
                                  H
                          SOLID
                                                                   Element 4:
                                                                   Solid/liquid system
Process Understanding


           Small Scale                                             Large Scale



       Analysis                     Translation                    Construction
                               Process Understanding


                   Element 1                           Element 1




                   Element 2                           Element 2
                                                                             Large Scale
  Lab                                                                          Process
reaction
                   Element 3                           Element 3




                   Element 4                           Element 4
Process Understanding

First Principles Mechanistic Models are using Basic Rate Laws and
Thermodynamics combined with fundamental conservation of mass and
energy to present these elements
(in contrast to empirical or DoE type models)

Chemical Rate Laws:

Chemical Reactions are best described by a set of elementary reactions, i.e.
reactions on a molecular level. These reactions are either unimolecular (bond
scissions or rearrangements) or bimolecular (by collision of two species)
The advantage of this approach is that all unimolecular reactions are first order and all
bimolecular reactions are second order. The disadvantage is that a complex reaction
system will require a set of elementary reactions, each with a rate constant and an
Energy of Activation.
This approach may be very attractive to chemists, as rate models can be constructed
directly from their knowledge about mechanisms.
Process Understanding

Physical Rate Laws:

In general are proportionate to a driving force
mass transfer rate:               kLa ([A]∞ - [A]) (unit [conc/time])
Heat flow rate through jacket: AU (Tr-Tj)          (unit [energy/time)

Thermodynamics:
Equilibrium and its temperature dependence is described by:
                   RT ln K  - H  TS
Conservation of mass and energy:
For example:
Mol balances in chemical reactions
Heat generation and heat removal control the degree of heat accumulation
(temperature change)
Process Understanding

The conservation of mass sounds trivial, but for the description of chemical reactions
this appears to be one of the critical items in modelling

The reason for this is that most of the information of chemical reactions is generated
by LC based methods with UV-based detectors.

Raw data from these methods will only generate area% information of the detectable
species and no information about the mass balance

Before such data can be used for modelling they have to be converted to absolute
mol data. This can be done by using Relative Response Factors and reaction mol
balances of at least 95% accuracy


The consequences of not doing this homework will be shown by a simple example
Process Understanding

The importance of the mol balance is demonstrated by a drastic example

     Mass balance                                 Analytical data

     A+B→C




These data will not match

Either we have to change the mass balance (for example adding a rxn A → D),
or the analytical data are wrong and have to be corrected
Process Understanding

The basis for modelling are time resolved profiles of experimental data


   1)    Analytical profiles
   2)    Heat generation rates
   3)    Additional online info (ReactIR, pH, gas generation, H 2 uptake, etc...)
   4)    Accurate temperature profiles

         Experimental Data:                                Kinetic model:
 moles




                                                  moles




                    time                                         time
Example System

The following example system, which has been used in several DynoChem training
courses at Pfizer and which was related to real processes, will demonstrate the data
flow and the way of model generation for the scale-up of an exothermic semi-batch
reaction
Starting point is a simple reaction
                                      k1
                    A   +    B             P     r1 = k1 [A] [B]
                                      k2
                    A    +   P             SP    r2 = k2 [A] [P]


 This reaction was run in the lab at 60oC and there were seen these 4 species
 with a mass balance close to 100% . An analytical method was developed and
 Relative Response Factors were measured. The reaction was followed against
 an Internal Standard and so the HPLC data could be converted to absolute mol
 data
Example System

 This reaction system element in DynoChem is presented by a block of lines
Reactions in   Bulk liquid

                   k>        1.00 E-03   L/mol s   at   60   C   Ea>   60   kJ/mol   dHr   0   kJ/mol   *   A   +   B   >   P

                   k>        1.00 E-04   L/mol.s   at   60   C   Ea>   60   kJ/mol   dHr   0   kJ/mol   *   A   +   P   > SP


 In this block there are estimated values for the rate constants and the Activation Energy and there
 is no value of the exotherm (dHr = 0 kJ/mol) available, which will probably be the knowledge in an
 early development stage.

 If not otherwise indicated (it can be done if required), DynoChem assumes that the reactions after the * are
 elementary reactions, so the rate laws are strictly first order in each component
 i.e.    d[P]/dt = k [A] [B]     and d[SP]/dt = k [A] [P]


 To get real rate parameters (k1 , k2 ,Ea1 , Ea2 ), a set of 4 experiments were performed
 with a different ratio of [A]o / [B]o and at 4 different temperatures (40 o C, 50o C, 60o C,
 and 70o C)
Example System

After fitting all the experimental data can be reproduced with just four rate parameters
k1, k2, Ea1 , Ea2
Example System

   With a calorimetric experiment the individual heat of reactions can be determined
   as well:




Reactions in   Bulk liquid

                   k>        2.7 E-03   L/mol s   at   60   C   Ea>   60   kJ/mol   dHr   -150   kJ/mol   *   A   +   B   >   P

                   k>        5.0 E-04   L/mol.s   at   60   C   Ea>   90   kJ/mol   dHr   -80    kJ/mol   *   A   +   P   > SP
Example System

Process Safety data were generated directly together with the calorimetric run, when
a sample of the reacted mixture was subjected to a thermal stability investigation with
an ARC (Accelerating Rate Calorimeter)

This revealed a dangerous decomposition reaction at a higher temperature. The
kinetics of this decomposition was evaluated from the ARC data with DynoChem
and the result could be included in the kinetic description:

Reactions in Bulk liquid

             k>            2.71E-03 L/mol.s    Tref   60 C   Ea>    59.997   kJ/mol   dHr -149.86   kJ/mol * A + B > P
             k>            5.02E-04 L/mol.s    Tref   60 C   Ea>    90.011   kJ/mol   dHr -80.60    kJ/mol * A + P > SP
             k>            5.00E-07   1/s      Tref   60 C   Ea>   140.000   kJ/mol   dHr -420.00   kJ/mol * P     > Dec




 These data will not have a big impact on the reaction at 60o C, but are of major
 importance for the safe scale-up:
Example System

These data allow now the prediction of the product composition for any ratio
of A and B (where A can be added by a dosing system over any given time)
at any given reasonable temperature as a function of time


For scale-up there is no given temperature, but the reaction temperature is the
result of the interplay between heat generation and heat removal.

Here we need to add a jacket to our model, and provide the parameters

As we want to predict temperature changes, we need to use reasonable good values
for the physical properties of the reaction mixture and the feed, for example cp

These data can be estimated or measured by the same calorimetric experiment where
the heat flows were obtained
Example System


The following lines describe the heat exchange between a reaction mass
and a jacket
            Cool     Bulk liquid   with    Jacket
                        UA         310.3   W/K
                       UA(v)       0.82    W/L.K
                     Temperature             C
                         Cp         2.2    kJ/kgK
                       coolant      5.5     kg/s

Here the heat transfer UA is defined as a linear function of the liquid phase
volume with an intercept of 310.3 W/K and a slope of 0.82 W/L.K, so that
AU can be adjusted in case of a semi-batch reaction

These heat transfers can be measured or calculated by DynoChem with
a heat transfer tool
Example System

The following simulation shows the temperature profile of a 1000 L run with a simple
Tr-controller implemented with a feed time of 1 hr
Example System

With a feed time of 2 hrs and less excess of B the result looks like this
Example System

It appears that we are now in a position to design our process to get a combination
of the best temperature, the best feed time, the best ratio of A/B, and the best use
of reactor time as a function of scale and equipment
This is indeed possible and DynoChem has a built in functionality, which can
optimize any given process outcome or user provided functionality, for example
a whatever complex cost function.

This is tempting, however, we need to consider Process Safety as well

One of the standard scenarios in Process Safety is the question of the system
behaviour in case of a loss of cooling capacity in the worst possible moment.

This question can be answered by setting the cooling capacity to 0 and calculating
the temperature profile for this adiabatic system
Example System
Example System


A simulation run at 60 oC with a loss of cooling capacity at the end of the feed
(this is the stoichiometric point and the worst point in our system) will give a thermal
explosion (run-away) about 3 hrs later!!
This 3 hrs time is called Time to Maximum Rate (TMR) and can be used as a
quantitative measure of thermal risk

Once we agreed to an acceptable thermal risk (may be 8 hrs), we can then include
this in the optimization

At a first view this risk is likely to be a function of the reaction temperature, and we
might think that lowering the temperature will reduce the risk


This might be wrong! A simulation with a starting temperature of 20 oC will give the
result shown on the next slide
Example System
Example System


Keeping all other parameters constant, there is usually a temperature where TMR
Is a maximum, as shown below (for a 2 hrs feed time)

                     10
                          rxn time after end of feed for 99% conv [h]



                                                                        15

                     8




                     6                                                  10
           TMR [h]




                     4

                                                                        5

                     2




                     0                                                  0
                                                                             20    30   40                50   60   70
                                                                                             Tr set [C]
Summary

It is now possible to include the thermal risk into the optimization of the large scale
operation conditions
As a result we will get a process optimized with the consideration of scale and
equipment, i.e. a change of scale and equipment will change this optimum
This concept can be used to transfer a process from

 Lab to Kilo Lab
 Kilo Lab to Pilot Plant
 Pilot Plant to small scale Manufacturing
 Transfer within Manufacturing between different scales
 Transfer between different equipment types, i.e.
  Batch / Semibatch to Plug Flow or CSTR !

This is a significant advantage over traditional Process Development

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Use of DynoChem in Process Development. Wilfried Hoffmann.

  • 1. Use of DynoChem in Process Development by Wilfried Hoffmann Old: Chemical R&D, Sandwich, UK Worldwide Pharmaceutical Sciences New: Scale-up Systems, Dublin, Ireland DynoChem Scale-up Systems 1
  • 2. The Fundamental Problem of Scale-up The major objective of Process Development is the design of a sequence of operations, which allow the safe and ecologically responsible manufacturing of Active Pharmaceutical Ingredients at a scale demanded by market, in a quality demanded by Regulatory Authorities, and at the lowest achievable cost This development is based on lab scale experiments ?
  • 3. The Fundamental Problem of Scale-up Traditional approach: Lab Reaction Development Pre Scale-up Scale-up Lab Robustness testing Risk of Design Process Safety testing Experiments Failure This approach underestimates the effects of physical rates on the overall performance are functions of scale - rate of heat transfer and equipment and - various rates of mass transfer can compete with - various rates of mixing chemical rates
  • 4. The Fundamental Problem of Scale-up Process Development needs to consider scale and equipment As large scale development experiments are prohibitive with respect to cost, safety, and time but large scale performance information is required the solution is: Process Modelling Process Modelling allows the prediction of the interactions of chemical and physical rates as a function of operating conditions, scale, and equipment
  • 5. The Fundamental Problem of Scale-up Lab Design approach => Model based approach: Process Understanding based Design Scale-up Model Generation Model + Equipment data Lab Data Predicted Large Scale Process Experiments (Model) Performance Optimization Experiments are performed to generate Process Understanding, not necessarily to get good yields in the lab. This Process Understanding is then captured by First Principles Mechanistic Models A software package used by Pfizer which supports the generation and capture of this information is Scale-up Systems’ DynoChem
  • 6. Process Understanding What is Process Understanding? In this context Process Understanding is the necessary required knowledge to allow predictions on the process behaviour on scale How can we access this knowledge? The first action is an analysis of the different rate processes (elements) in our process (for illustration I am using a chemical reaction, but the same principles can be applied to other unit operations) DynoChem uses a visualisation tool, which is very useful for the early part of this modelling approach In the following this tool will be demonstrated for a semibatch reaction in a jacketed reactor with a solid phase present
  • 7. Process Understanding FEED TANK BULK LIQUID Solvent, Tr0 Element 1: The chemical rxn system Chemistry Including heat generation Solvent, A, T dos Element 2: Heat transfer Flow rate B UA Element 3: (kLa)1 Heat Dosing mass transfer B (s) out H SOLID Element 4: Solid/liquid system
  • 8. Process Understanding Small Scale Large Scale Analysis Translation Construction Process Understanding Element 1 Element 1 Element 2 Element 2 Large Scale Lab Process reaction Element 3 Element 3 Element 4 Element 4
  • 9. Process Understanding First Principles Mechanistic Models are using Basic Rate Laws and Thermodynamics combined with fundamental conservation of mass and energy to present these elements (in contrast to empirical or DoE type models) Chemical Rate Laws: Chemical Reactions are best described by a set of elementary reactions, i.e. reactions on a molecular level. These reactions are either unimolecular (bond scissions or rearrangements) or bimolecular (by collision of two species) The advantage of this approach is that all unimolecular reactions are first order and all bimolecular reactions are second order. The disadvantage is that a complex reaction system will require a set of elementary reactions, each with a rate constant and an Energy of Activation. This approach may be very attractive to chemists, as rate models can be constructed directly from their knowledge about mechanisms.
  • 10. Process Understanding Physical Rate Laws: In general are proportionate to a driving force mass transfer rate: kLa ([A]∞ - [A]) (unit [conc/time]) Heat flow rate through jacket: AU (Tr-Tj) (unit [energy/time) Thermodynamics: Equilibrium and its temperature dependence is described by: RT ln K  - H  TS Conservation of mass and energy: For example: Mol balances in chemical reactions Heat generation and heat removal control the degree of heat accumulation (temperature change)
  • 11. Process Understanding The conservation of mass sounds trivial, but for the description of chemical reactions this appears to be one of the critical items in modelling The reason for this is that most of the information of chemical reactions is generated by LC based methods with UV-based detectors. Raw data from these methods will only generate area% information of the detectable species and no information about the mass balance Before such data can be used for modelling they have to be converted to absolute mol data. This can be done by using Relative Response Factors and reaction mol balances of at least 95% accuracy The consequences of not doing this homework will be shown by a simple example
  • 12. Process Understanding The importance of the mol balance is demonstrated by a drastic example Mass balance Analytical data A+B→C These data will not match Either we have to change the mass balance (for example adding a rxn A → D), or the analytical data are wrong and have to be corrected
  • 13. Process Understanding The basis for modelling are time resolved profiles of experimental data 1) Analytical profiles 2) Heat generation rates 3) Additional online info (ReactIR, pH, gas generation, H 2 uptake, etc...) 4) Accurate temperature profiles Experimental Data: Kinetic model: moles moles time time
  • 14. Example System The following example system, which has been used in several DynoChem training courses at Pfizer and which was related to real processes, will demonstrate the data flow and the way of model generation for the scale-up of an exothermic semi-batch reaction Starting point is a simple reaction k1 A + B P r1 = k1 [A] [B] k2 A + P SP r2 = k2 [A] [P] This reaction was run in the lab at 60oC and there were seen these 4 species with a mass balance close to 100% . An analytical method was developed and Relative Response Factors were measured. The reaction was followed against an Internal Standard and so the HPLC data could be converted to absolute mol data
  • 15. Example System This reaction system element in DynoChem is presented by a block of lines Reactions in Bulk liquid k> 1.00 E-03 L/mol s at 60 C Ea> 60 kJ/mol dHr 0 kJ/mol * A + B > P k> 1.00 E-04 L/mol.s at 60 C Ea> 60 kJ/mol dHr 0 kJ/mol * A + P > SP In this block there are estimated values for the rate constants and the Activation Energy and there is no value of the exotherm (dHr = 0 kJ/mol) available, which will probably be the knowledge in an early development stage. If not otherwise indicated (it can be done if required), DynoChem assumes that the reactions after the * are elementary reactions, so the rate laws are strictly first order in each component i.e. d[P]/dt = k [A] [B] and d[SP]/dt = k [A] [P] To get real rate parameters (k1 , k2 ,Ea1 , Ea2 ), a set of 4 experiments were performed with a different ratio of [A]o / [B]o and at 4 different temperatures (40 o C, 50o C, 60o C, and 70o C)
  • 16. Example System After fitting all the experimental data can be reproduced with just four rate parameters k1, k2, Ea1 , Ea2
  • 17. Example System With a calorimetric experiment the individual heat of reactions can be determined as well: Reactions in Bulk liquid k> 2.7 E-03 L/mol s at 60 C Ea> 60 kJ/mol dHr -150 kJ/mol * A + B > P k> 5.0 E-04 L/mol.s at 60 C Ea> 90 kJ/mol dHr -80 kJ/mol * A + P > SP
  • 18. Example System Process Safety data were generated directly together with the calorimetric run, when a sample of the reacted mixture was subjected to a thermal stability investigation with an ARC (Accelerating Rate Calorimeter) This revealed a dangerous decomposition reaction at a higher temperature. The kinetics of this decomposition was evaluated from the ARC data with DynoChem and the result could be included in the kinetic description: Reactions in Bulk liquid k> 2.71E-03 L/mol.s Tref 60 C Ea> 59.997 kJ/mol dHr -149.86 kJ/mol * A + B > P k> 5.02E-04 L/mol.s Tref 60 C Ea> 90.011 kJ/mol dHr -80.60 kJ/mol * A + P > SP k> 5.00E-07 1/s Tref 60 C Ea> 140.000 kJ/mol dHr -420.00 kJ/mol * P > Dec These data will not have a big impact on the reaction at 60o C, but are of major importance for the safe scale-up:
  • 19. Example System These data allow now the prediction of the product composition for any ratio of A and B (where A can be added by a dosing system over any given time) at any given reasonable temperature as a function of time For scale-up there is no given temperature, but the reaction temperature is the result of the interplay between heat generation and heat removal. Here we need to add a jacket to our model, and provide the parameters As we want to predict temperature changes, we need to use reasonable good values for the physical properties of the reaction mixture and the feed, for example cp These data can be estimated or measured by the same calorimetric experiment where the heat flows were obtained
  • 20. Example System The following lines describe the heat exchange between a reaction mass and a jacket Cool Bulk liquid with Jacket UA 310.3 W/K UA(v) 0.82 W/L.K Temperature C Cp 2.2 kJ/kgK coolant 5.5 kg/s Here the heat transfer UA is defined as a linear function of the liquid phase volume with an intercept of 310.3 W/K and a slope of 0.82 W/L.K, so that AU can be adjusted in case of a semi-batch reaction These heat transfers can be measured or calculated by DynoChem with a heat transfer tool
  • 21. Example System The following simulation shows the temperature profile of a 1000 L run with a simple Tr-controller implemented with a feed time of 1 hr
  • 22. Example System With a feed time of 2 hrs and less excess of B the result looks like this
  • 23. Example System It appears that we are now in a position to design our process to get a combination of the best temperature, the best feed time, the best ratio of A/B, and the best use of reactor time as a function of scale and equipment This is indeed possible and DynoChem has a built in functionality, which can optimize any given process outcome or user provided functionality, for example a whatever complex cost function. This is tempting, however, we need to consider Process Safety as well One of the standard scenarios in Process Safety is the question of the system behaviour in case of a loss of cooling capacity in the worst possible moment. This question can be answered by setting the cooling capacity to 0 and calculating the temperature profile for this adiabatic system
  • 25. Example System A simulation run at 60 oC with a loss of cooling capacity at the end of the feed (this is the stoichiometric point and the worst point in our system) will give a thermal explosion (run-away) about 3 hrs later!! This 3 hrs time is called Time to Maximum Rate (TMR) and can be used as a quantitative measure of thermal risk Once we agreed to an acceptable thermal risk (may be 8 hrs), we can then include this in the optimization At a first view this risk is likely to be a function of the reaction temperature, and we might think that lowering the temperature will reduce the risk This might be wrong! A simulation with a starting temperature of 20 oC will give the result shown on the next slide
  • 27. Example System Keeping all other parameters constant, there is usually a temperature where TMR Is a maximum, as shown below (for a 2 hrs feed time) 10 rxn time after end of feed for 99% conv [h] 15 8 6 10 TMR [h] 4 5 2 0 0 20 30 40 50 60 70 Tr set [C]
  • 28. Summary It is now possible to include the thermal risk into the optimization of the large scale operation conditions As a result we will get a process optimized with the consideration of scale and equipment, i.e. a change of scale and equipment will change this optimum This concept can be used to transfer a process from  Lab to Kilo Lab  Kilo Lab to Pilot Plant  Pilot Plant to small scale Manufacturing  Transfer within Manufacturing between different scales  Transfer between different equipment types, i.e. Batch / Semibatch to Plug Flow or CSTR ! This is a significant advantage over traditional Process Development