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Page 1: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Design of Experiments for Formulators

iFormulate Webinar

12th July 2018

Introduces…

Page 2: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

This webinar is being recorded and will be made available

The audience is muted and you may ask questions using the question function in GoToWebinar

This webinar will last around 45 minutes

PROGRAMME

• Introductions

• Design of Experiments for Formulation

• Benefits of using DoE

• Case study supporting QbD

–Blending for formulation

• Training Course in Design of Experiments

• Q&A

Page 3: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

INTRODUCTIONS

Page 4: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Your Speakers

Dr David CalvertiFormulate [email protected]

Dr Paul MurrayPMCC [email protected]

Page 5: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Dr Jim BullockE: [email protected]: +44 (0)7450 436515

Dr David CalvertE: [email protected]: +44 (0)7860 519582

[email protected]

A Little About iFormulate

• A company founded in 2012 by two experienced industry professionals…

• Combining diverse experiences, knowledge and wide range of contacts:

• …polymers, materials science, chemistry, imaging, dyes, pigments, emulsion polymerisation, biocides, anti-counterfeiting, environmental, formulation, consultancy, marketing, business development, strategy, regulatory, training, events, R&D, innovation

• Complementary network of Associates

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Our Services

Page 7: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Design of Experiments for Formulation Chemists

Dr Paul Murray

Design of Experiments for Formulators

Webinar, July 2018

Page 8: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Introduction

• Design of Experiments for formulation

• Benefits of using DoE

• Case study supporting QbD• Blending for formulation

Page 9: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Traditional Approach

• Starts from a route

• Finds a process

• Perhaps struggles to understand it

Route

Process

Page 10: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

DoE for Process Understanding

• Starts from a Route

• Understands the factors that affect the chemistry

• Designs a process on the basis of knowledge

Route

Process Understanding

Process within design

space

Page 11: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Design of Experiments (DoE)

• DoE, Statistical Experimental Design or FED (Factorial)

• DoE is an efficient, structured way to investigate potentially significant factors and their cause-and-effect relationships on an experimental outcome

• Careful factor selection increases the chances of extracting useful information• which factors to change

• the range of the variation

• DoE provides information about the way the total system works

• Utilises statistical methods to extract and interpret the relationships between the factors

11

© Paul Murray Catalysis Consulting Ltd

Page 12: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

So… development of a formulation

• Formulation• Tablet, capsule, liquid, ……

• Bulking agent

• Caking agent

• Slipping agent

• For tableting• Speed, pressure ……

• For liquids • Solvents, additives ……

© Paul Murray Catalysis Consulting Ltd 12

Page 13: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

So… Formulation processes

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Active ingredient

Binder

Slip agent

Bulking agent

Disintegrant

Surfactant

Formulation equipment

Formulation type

Formulant Ratios

Particle size

Active concentration

Compression force

Temperature

Spray pattern/rate

Mixing

Factors Responses

Discrete

Dissolution time

Dissolution profile

Tablet strength

Humidity stability

Active Ingredient

Stability

Continuous

© Paul Murray Catalysis Consulting Ltd

Page 14: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Formulation processes

• Options for dosage forms: tablets, ointments, capsules, suspensions, gels…• Generally a separate design required for each type

• Granulation• Particle size, amount of binder, mixing, drying…

• Tableting• Compression force, tableting speed, tablet size…

• Tablet coating

© Paul Murray Catalysis Consulting Ltd 14

Page 15: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

OVAT

One Variable at a Time

© Paul Murray Catalysis Consulting Ltd15

Page 16: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

One Variable at a Time (OVAT)

16

Co

nce

ntr

ati

on

Temp

• Consider the performance of a

reaction in relation to two

factors – concentration and temp

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One Variable at a Time (OVAT)

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• From an arbitrary chosen starting point one

factor is varied

Co

nce

ntr

ati

on

Temp

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One Variable at a Time (OVAT)

18

Co

nce

ntr

ati

on

Temp

Page 19: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

One Variable at a Time (OVAT)

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• An artificial ‘local’ optimum is identified

Co

nce

ntr

ati

on

Temp

Page 20: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

One Variable at a Time (OVAT)

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• An artificial ‘local’ optimum is identified

Co

nce

ntr

ati

on

Temp

10% conversion

© Paul Murray Catalysis Consulting Ltd

20%30%

40%

Page 21: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

One Variable at a Time (OVAT)

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• An artificial ‘local’ optimum is identified

Co

nce

ntr

ati

on

Temp

10% conversion

20%

30%

40%

Page 22: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

One Variable at a Time (OVAT)

• The genuine optimum may be missed• the experimental approach may make it impossible to find!

• Inefficient use of resources• better conditions are available

• 11 experiments carried out

• Limited coverage of chemical space (design space)

• No information of dependency of one parameter on another• interactions

• No measure of inherent variability• experimental error

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© Paul Murray Catalysis Consulting Ltd

Page 23: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

DoE: Screening Design

23

Co

nce

ntr

ati

on

Temp

10% conversion

20%

30%

40%

© Paul Murray Catalysis Consulting Ltd

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DoE: Optimisation

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Co

nce

ntr

ati

on

Temp

20% conversion

60%

30%

40%

50%

© Paul Murray Catalysis Consulting Ltd

Page 25: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

What will DoE do for you?

• A well-performed experiment will provide answers to questions such as:

• What are the key variables/factors in a process?

• At what settings would the process deliver acceptable performance?

• What are the key main and interaction effects in the process?

• What settings would bring about less variation in the output?

• Does the supplier or quality of a material effect the process?

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© Paul Murray Catalysis Consulting Ltd

Page 26: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

What will DoE do for you?

• A good experimental design will:• Avoid systematic error

• Be precise

• Allow estimation of error• To provide confidence interval and significance of the results

• Have broad validity

© Paul Murray Catalysis Consulting Ltd 26

Page 27: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

DoE

Designing Experiments – Improving Answers

© Paul Murray Catalysis Consulting Ltd27

Page 28: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

The Experimental Design Process

• The validity of an experiment is directly affected by its construction and execution

• Attention to the design of the experimental is extremely important

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© Paul Murray Catalysis Consulting Ltd

Page 29: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

The DoE Process

1. Aim & Objective

2. Factors & Ranges

3. Response

4. Select design

5. Carry out & analyse

6. Check results

7. Model data

8. Validate predictions

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© Paul Murray Catalysis Consulting Ltd

Page 30: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

1. Aim & 2. Objective

3. Factors & Ranges

4. Response

5. Select design

6. Carry out &

analyse

7. Check results

8. Model data

9. Validate predictions

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The DoE Process

Page 31: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Identify Factors

• Consider all steps in the process• Order of addition

• Equipment

• Reagents, additives

• Rates of heating, cooling, mixing ……

• Grades of material© Paul Murray Catalysis Consulting Ltd

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Page 32: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Selecting Responses

• Maximise information from experimental data • enough of the right type of data is available

• Responses should• give accurate and consistent results

• closely replicate actual experimental outcome

• minimise variability between repeats

• measure change as close to the event as possible• even minimal work-up as can lead to additional error

• vary more than the ‘noise’ of the measurement area as a result of the changes

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© Paul Murray Catalysis Consulting Ltd

Page 33: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Fractional design

to investigate all

potential factorsFurther experimental

design(s) focusing on

chemical space of

interest

Quadratic design for

detailed reaction or

process modelling

Confirmation of

understanding

across entire

operating range

Design Selection

© Paul Murray Catalysis Consulting Ltd

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Page 34: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Mixture Designs

• Ideal for formulation

• Look at factors as a fraction of whole

• Analyse response against both mixture and process factors simultaneously

• Uses D-optimal design

© Paul Murray Catalysis Consulting Ltd

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Page 35: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Benefits of mixture design

• A key deliverable is amount of active in a fixed weight/volume

• Mixture design allows everything to be varied while fixing the final weight/volume

• This would be very hard to achieve with all other design types as factors are completely separate from each other and therefore dose weight/volume would vary considerably• All at low would give very low weight/volume and vice

versa

© Paul Murray Catalysis Consulting Ltd

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Page 36: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Mixture vs Factorial designs

© Paul Murray Catalysis Consulting Ltd36

Page 37: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Case Study: blending parameters

• Quality Risk Assessment (QRA) on a tableting process shows Active Pharmaceutical Ingredient (API) particle size, moisture control, blending and lubrication steps have the potential to affect the assay and content uniformity critical quality attributes (CQAs)

• A study of the parameters likely to affect blending was conducted to develop a design space

© Paul Murray Catalysis Consulting Ltd 37

Page 38: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

DoE for blending: factors & ranges

• Factors investigated• Blender type

• Rotation speed

• Blending time

• API particle size

• Purpose: to assure that the blend is uniform• Analysed by NIR, target uniformity of <0.01

• Perform DoE to develop the design space

© Paul Murray Catalysis Consulting Ltd 38

Page 39: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

DoE: Select and perform design

Exp no Runblending

timerpm

blender

type

particle

sizeuniformity

1 2 2 10 v type 5 0.015

2 7 16 10 v type 40 0.005

3 10 2 30 v type 40 0.005

4 5 16 30 v type 5 0.004

5 6 2 10 drum 40 0.015

6 1 16 10 drum 5 0.004

7 8 2 30 drum 5 0.005

8 11 16 30 drum 40 0.004

9 3 9 20 v type 20 0.0045

10 12 9 20 drum 20 0.005

11 9 9 20 v type 20 0.0055

12 4 9 20 drum 20 0.0051

© Paul Murray Catalysis Consulting Ltd 39

Page 40: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Overview plot

© Paul Murray Catalysis Consulting Ltd 40

Page 41: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Interaction, Ble*rpm

© Paul Murray Catalysis Consulting Ltd 41

Page 42: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Contour plot

© Paul Murray Catalysis Consulting Ltd 42

Optimum conditions: 30 rpm, 11 min blending time for

uniformity of 0.0025

Page 43: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

• Particle size and blender type are insignificant

• Model explains 99% and predicts 98% of the data• Squared term required, additional experiments

recommended to define squared term

• Uniformity of <0.01 required• levels as low as 0.0025 are predicted to be possible

• If you wanted to achieve 0.0025 uniformity, another experiment can be carried out to confirm the conditions

© Paul Murray Catalysis Consulting Ltd 43

DoE Summary

Page 44: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

DoE Summary

• Model identifies the important factors

• Model identifies setting for important factors

• Model requires quadratic and interaction terms

• DoE does this efficiently (12 experiments, additional experiments required to validate model)

© Paul Murray Catalysis Consulting Ltd 44

Page 45: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Summary

• DoE is a powerful tool

• You need to avoid the pitfalls• Incorrect factor selection

• Investigation of appropriate ranges

• Inappropriate or inaccurate responses

• Validate the model by carrying out the prediction

• A good DoE will give you much more information for a fraction of the work

© Paul Murray Catalysis Consulting Ltd 45

Page 46: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Design of Experiments for Formulators

• New two day training course

• December 4th and 5th 2018

• East Midlands UK

• Early Bird £995 plus VAT before 1st October

• £1149 plus VAT after

• More details and registration• https://iformulate.biz/design-of-experiments-for-

formulators/

© Paul Murray Catalysis Consulting Ltd 46

Page 47: Design of Experiments for Formulation Chemists · Design of Experiments (DoE) •DoE, Statistical Experimental Design or FED (Factorial) •DoE is an efficient, structured way to

Thanks for listening

• Any questions • Paul Murray

• +44 7833 384027

[email protected]

• www.catalysisconsulting.co.uk

• David Calvert• +44 7860 519582

[email protected]

• www.iformulate.biz

© Paul Murray Catalysis Consulting Ltd 47