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Introduction PCA LDA PLS
Multivariate data analysis - set of statistical models that examine patterns in
multidimensional data by considering, at once, several data variables
• Doesn’t require you to make assumptions
• Can build predictive models to estimate value of unknown sample
Chemometrics is rapidly establishing itself as a tool in Pharmaceutical Industry
Transition from “quality-by-testing” to “quality-by-design”
FDA emphasized using PAT and QbD techniques in ICH Q8 guidelines
Pharmaceutical products and processes are complex systems by nature and can only
be effectively described by multi-factorial relationships
Multivariate data analysis comes into play - Development of calibration models to predict relevant
parameters and quality attributes in real-time
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Multivariate Data Analysis
Introduction PCA LDA PLS
PCA is a mathematical procedure that transforms a large set of variables into
a lower dimensional set of new variables designated as principal components.
Any data set, it is likely that the key information is contained in
• Dominating sources of variability
• other sources of variability (e.g. Noise)
Application in Pharmaceutical Industry:
• Can be used with other techniques (DoE or PLS) to determine in critical parameter
and study impact with CQA’s
• support investigation of root-cause of dissolution study
• Raw material classification
• Understanding differences in Positive and Negative control samples
• Support Process Analytical Technology Applications
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Principal Component Analysis
Introduction PCA LDA PLS
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Holt Melt Extrusion (HME)
Hot Melt Extrusion is used for
to uniformly disperse an API in a carrier
polymer:
• enhancement of solubility and
bioavailability of poorly soluble drugs
• control the delivery of an API
• taste masking of bitter API’s
Feeding API and polymer into an extruder
results in extrudate that contains stable,
uniformly dispersed, soluble API
HME has been used largely to manufacture
• granules
• pellets
• immediate and modified release tablets
• transmucosal/transdermal films
• implantable reservoir devices
Cautions:
• physicochemical properties of an API
are critical components of HME process
design
• API’s can undergo polymorphic changes
resulting in stability issues
• shear force and the cooling rate also
needs to be controlled
Introduction PCA LDA PLS
Paper Title: Data mining of solubility parameters for computational prediction of drug–
excipient miscibility
Predict the miscibility of drug and excipients using Hansen solubility parameters (HSPs)
• The energy from dispersion forces between molecules
• The energy from dipolar intermolecular force between molecules
• The energy from hydrogen bonds between molecules
In the study,
Drug Indomethacin’s miscibility was predicted with chemically diverse excipients using HSP
The miscibility was experimentally determined by Differential Scanning Calorimetry (DSC)
The algorithm results were then evaluated with DSC results and the prediction accuracy was
found at 94%
Paper reference: Alhalaweh, A., Alzghoul, A., & Kaialy, W. (2014). Data mining of solubility
parameters for computational prediction of drug–excipient miscibility. Drug development and
industrial pharmacy, 40(7), 904-909.
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Example
Introduction PCA LDA PLS
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http://letsexcel.in
Example
Upload the file
Introduction PCA LDA PLS
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Example
Introduction PCA LDA PLS
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Example
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Example
Introduction PCA LDA PLS
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http://letsexcel.in
Example
Model can be
saved for future
reference
Upload dataset
which needs to be
predicted
Introduction PCA LDA PLS
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Example
Introduction PCA LDA PLS
LDA – Method to find linear combination of features that
characterizes or separates two or more classes of objects or events.
• Supervised Learning
• Closely related to ANOVA
Application
• Classification of in-process material based on Physicochemical
properties
• Quantitative structure activity relationship
• Classification of pass-fail batches
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Linear Discriminant Analysis
Introduction PCA LDA PLS
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Example
Upload the file
Introduction PCA LDA PLS
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Example
Check the tab, then select categorical and Numerical variables
Introduction PCA LDA PLS
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Example
View the correlation between variables
+1: Positively Correlated
0: Not Correlated
-1: Negatively Correlated
Introduction PCA LDA PLS
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Example
View Box plot of corresponding values of
the variables
Introduction PCA LDA PLS
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Example
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Example
Introduction PCA LDA PLS
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Example
Save the Model
which can be used
for future prediction
Introduction PCA LDA PLS
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Example
Upload the unknown
data file
Introduction PCA LDA PLS
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Example
Introduction PCA LDA PLS
Technique that reduces the predictors to a smaller set of
uncorrelated components and performs least squares regression
on these components, instead of on the original data
Application in Pharmaceutical Industry :
• Widely used in Chemometrics and applied to spectroscopy data to obtain
measurements that enable real time release testing (PAT applications)
• Optimize dry granulation process – combine CMA and CPP to CQA’s
• Model the relationship between API and intermediate properties of a
formulation process
• Mine the historical data for a product and determine critical variables that
influence such variability
• Quantitative structure activity relationships
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Partial Least Square (PLS)
Introduction PCA LDA PLS
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Example
Calibration and Test Data
of Sample from Raman
analysis of
Multicomponent Mixture
was clubbed together
•Since easyPLS
automatically divides
train and test samples
without bias
Mean Scatter Correction
was performed on the
spectra offline
Granulation drying stage
spectra is used as
unknown data
Bhavana, V., Chavan, R. B., Mannava, M. C., Nangia, A., & Shastri, N. R. (2019).
Quantification of niclosamide polymorphic forms–A comparative study by Raman,
NIR and MIR using chemometric techniques. Talanta, 199, 679-688.
Introduction PCA LDA PLS
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Example
Upload the file
Introduction PCA LDA PLS
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Example
Click at the
bottom to
select the data
Introduction PCA LDA PLS
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Example Select the CV
Validation
Select the RMSEP
Plot type
Introduction PCA LDA PLS
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Example
Correlation Matrix
+1: Positively Correlated
0: Not Correlated
-1: Negatively Correlated
Introduction PCA LDA PLS
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Example
Training data set
Introduction PCA LDA PLS
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Example
Test data set
Introduction PCA LDA PLS
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Example
The Spectra Profile of the data
Introduction PCA LDA PLS
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Example
Model Summary
Introduction PCA LDA PLS
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Example
Introduction PCA LDA PLS
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Example
Introduction PCA LDA PLS
49
http://letsexcel.in
Example
Model can be
saved for future
reference
Introduction PCA LDA PLS
50
http://letsexcel.in
Example
Upload dataset
which needs to be
predicted
Introduction PCA LDA PLS
51
http://letsexcel.in
Example
Introduction PCA LDA PLS
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http://letsexcel.in
Example

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Machine Learning Case Studies

  • 1. Introduction PCA LDA PLS Multivariate data analysis - set of statistical models that examine patterns in multidimensional data by considering, at once, several data variables • Doesn’t require you to make assumptions • Can build predictive models to estimate value of unknown sample Chemometrics is rapidly establishing itself as a tool in Pharmaceutical Industry Transition from “quality-by-testing” to “quality-by-design” FDA emphasized using PAT and QbD techniques in ICH Q8 guidelines Pharmaceutical products and processes are complex systems by nature and can only be effectively described by multi-factorial relationships Multivariate data analysis comes into play - Development of calibration models to predict relevant parameters and quality attributes in real-time 1 http://letsexcel.in Multivariate Data Analysis
  • 2. Introduction PCA LDA PLS PCA is a mathematical procedure that transforms a large set of variables into a lower dimensional set of new variables designated as principal components. Any data set, it is likely that the key information is contained in • Dominating sources of variability • other sources of variability (e.g. Noise) Application in Pharmaceutical Industry: • Can be used with other techniques (DoE or PLS) to determine in critical parameter and study impact with CQA’s • support investigation of root-cause of dissolution study • Raw material classification • Understanding differences in Positive and Negative control samples • Support Process Analytical Technology Applications 2 http://letsexcel.in Principal Component Analysis
  • 3. Introduction PCA LDA PLS 3 http://letsexcel.in Holt Melt Extrusion (HME) Hot Melt Extrusion is used for to uniformly disperse an API in a carrier polymer: • enhancement of solubility and bioavailability of poorly soluble drugs • control the delivery of an API • taste masking of bitter API’s Feeding API and polymer into an extruder results in extrudate that contains stable, uniformly dispersed, soluble API HME has been used largely to manufacture • granules • pellets • immediate and modified release tablets • transmucosal/transdermal films • implantable reservoir devices Cautions: • physicochemical properties of an API are critical components of HME process design • API’s can undergo polymorphic changes resulting in stability issues • shear force and the cooling rate also needs to be controlled
  • 4. Introduction PCA LDA PLS Paper Title: Data mining of solubility parameters for computational prediction of drug– excipient miscibility Predict the miscibility of drug and excipients using Hansen solubility parameters (HSPs) • The energy from dispersion forces between molecules • The energy from dipolar intermolecular force between molecules • The energy from hydrogen bonds between molecules In the study, Drug Indomethacin’s miscibility was predicted with chemically diverse excipients using HSP The miscibility was experimentally determined by Differential Scanning Calorimetry (DSC) The algorithm results were then evaluated with DSC results and the prediction accuracy was found at 94% Paper reference: Alhalaweh, A., Alzghoul, A., & Kaialy, W. (2014). Data mining of solubility parameters for computational prediction of drug–excipient miscibility. Drug development and industrial pharmacy, 40(7), 904-909. 4 http://letsexcel.in Example
  • 5. Introduction PCA LDA PLS 5 http://letsexcel.in Example Upload the file
  • 6. Introduction PCA LDA PLS 6 http://letsexcel.in Example
  • 7. Introduction PCA LDA PLS 7 http://letsexcel.in Example
  • 8. Introduction PCA LDA PLS 8 http://letsexcel.in Example
  • 9. Introduction PCA LDA PLS 9 http://letsexcel.in Example
  • 10. Introduction PCA LDA PLS 10 http://letsexcel.in Example
  • 11. Introduction PCA LDA PLS 11 http://letsexcel.in Example
  • 12. Introduction PCA LDA PLS 12 http://letsexcel.in Example
  • 13. Introduction PCA LDA PLS 13 http://letsexcel.in Example
  • 14. Introduction PCA LDA PLS 14 http://letsexcel.in Example
  • 15. Introduction PCA LDA PLS 15 http://letsexcel.in Example
  • 16. Introduction PCA LDA PLS 16 http://letsexcel.in Example Model can be saved for future reference Upload dataset which needs to be predicted
  • 17. Introduction PCA LDA PLS 17 http://letsexcel.in Example
  • 18. Introduction PCA LDA PLS LDA – Method to find linear combination of features that characterizes or separates two or more classes of objects or events. • Supervised Learning • Closely related to ANOVA Application • Classification of in-process material based on Physicochemical properties • Quantitative structure activity relationship • Classification of pass-fail batches 18 http://letsexcel.in Linear Discriminant Analysis
  • 19. Introduction PCA LDA PLS 19 http://letsexcel.in Example Upload the file
  • 20. Introduction PCA LDA PLS 20 http://letsexcel.in Example Check the tab, then select categorical and Numerical variables
  • 21. Introduction PCA LDA PLS 21 http://letsexcel.in Example View the correlation between variables +1: Positively Correlated 0: Not Correlated -1: Negatively Correlated
  • 22. Introduction PCA LDA PLS 22 http://letsexcel.in Example View Box plot of corresponding values of the variables
  • 23. Introduction PCA LDA PLS 23 http://letsexcel.in Example
  • 24. Introduction PCA LDA PLS 24 http://letsexcel.in Example
  • 25. Introduction PCA LDA PLS 25 http://letsexcel.in Example
  • 26. Introduction PCA LDA PLS 26 http://letsexcel.in Example
  • 27. Introduction PCA LDA PLS 27 http://letsexcel.in Example
  • 28. Introduction PCA LDA PLS 28 http://letsexcel.in Example
  • 29. Introduction PCA LDA PLS 29 http://letsexcel.in Example
  • 30. Introduction PCA LDA PLS 30 http://letsexcel.in Example
  • 31. Introduction PCA LDA PLS 31 http://letsexcel.in Example Save the Model which can be used for future prediction
  • 32. Introduction PCA LDA PLS 32 http://letsexcel.in Example Upload the unknown data file
  • 33. Introduction PCA LDA PLS 33 http://letsexcel.in Example
  • 34. Introduction PCA LDA PLS Technique that reduces the predictors to a smaller set of uncorrelated components and performs least squares regression on these components, instead of on the original data Application in Pharmaceutical Industry : • Widely used in Chemometrics and applied to spectroscopy data to obtain measurements that enable real time release testing (PAT applications) • Optimize dry granulation process – combine CMA and CPP to CQA’s • Model the relationship between API and intermediate properties of a formulation process • Mine the historical data for a product and determine critical variables that influence such variability • Quantitative structure activity relationships 34 http://letsexcel.in Partial Least Square (PLS)
  • 35. Introduction PCA LDA PLS 35 http://letsexcel.in Example Calibration and Test Data of Sample from Raman analysis of Multicomponent Mixture was clubbed together •Since easyPLS automatically divides train and test samples without bias Mean Scatter Correction was performed on the spectra offline Granulation drying stage spectra is used as unknown data Bhavana, V., Chavan, R. B., Mannava, M. C., Nangia, A., & Shastri, N. R. (2019). Quantification of niclosamide polymorphic forms–A comparative study by Raman, NIR and MIR using chemometric techniques. Talanta, 199, 679-688.
  • 36. Introduction PCA LDA PLS 36 http://letsexcel.in Example Upload the file
  • 37. Introduction PCA LDA PLS 37 http://letsexcel.in Example Click at the bottom to select the data
  • 38. Introduction PCA LDA PLS 38 http://letsexcel.in Example Select the CV Validation Select the RMSEP Plot type
  • 39. Introduction PCA LDA PLS 39 http://letsexcel.in Example Correlation Matrix +1: Positively Correlated 0: Not Correlated -1: Negatively Correlated
  • 40. Introduction PCA LDA PLS 40 http://letsexcel.in Example Training data set
  • 41. Introduction PCA LDA PLS 41 http://letsexcel.in Example Test data set
  • 42. Introduction PCA LDA PLS 42 http://letsexcel.in Example The Spectra Profile of the data
  • 43. Introduction PCA LDA PLS 43 http://letsexcel.in Example Model Summary
  • 44. Introduction PCA LDA PLS 44 http://letsexcel.in Example
  • 45. Introduction PCA LDA PLS 45 http://letsexcel.in Example
  • 46. Introduction PCA LDA PLS 46 http://letsexcel.in Example
  • 47. Introduction PCA LDA PLS 47 http://letsexcel.in Example
  • 48. Introduction PCA LDA PLS 48 http://letsexcel.in Example
  • 49. Introduction PCA LDA PLS 49 http://letsexcel.in Example Model can be saved for future reference
  • 50. Introduction PCA LDA PLS 50 http://letsexcel.in Example Upload dataset which needs to be predicted
  • 51. Introduction PCA LDA PLS 51 http://letsexcel.in Example
  • 52. Introduction PCA LDA PLS 52 http://letsexcel.in Example

Editor's Notes

  1. Ferreira, A. P., & Tobyn, M. (2014). Multivariate analysis in the pharmaceutical industry: enabling process understanding and improvement in the PAT and QbD era. Pharmaceutical Development and Technology, 20(5), 513–527.
  2. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5756511/ https://lubrizolcdmo.com/blog/hot-melt-extrusion-solubility-enhancement-controlled-release-and-more/#apis https://www.hindawi.com/journals/isrn/2012/436763/
  3. 1.https://books.google.co.in/books?id=tl_HDwAAQBAJ&lpg=PA114&ots=yfaIseFrRS&dq=linear%20discriminant%20analysis%20pharmaceutical%20applications&pg=PA115#v=onepage&q=linear%20discriminant%20analysis%20pharmaceutical%20applications&f=false 2.https://books.google.co.in/books?id=pzcmLd_3lUYC&lpg=PA196&ots=2bEmm5H6U2&dq=linear%20discriminant%20analysis%20pharmaceutical%20applications&pg=PA196#v=onepage&q=linear%20discriminant%20analysis%20pharmaceutical%20applications&f=false