Making Sense of Fermentation Data with Correlation Matrix Heat Maps

In R&D, it’s easy to collect dozens of process parameters and output variables—but much harder to interpret them all at once. That’s where correlation matrix heat maps come in: they turn overwhelming spreadsheets into intuitive visual patterns.


What Is a Correlation Matrix Heat Map? A correlation matrix shows how strongly pairs of variables are related, measured by the Pearson correlation coefficient (r):

  • +1.0 = perfect positive correlation
  • 0.0 = no correlation
  • -1.0 = perfect negative correlation

A heat map visualizes this matrix using color gradients, making it easy to spot patterns and outliers.


Why It Matters in Fermentation In bioreactor experiments, you might track:

  • pH, DO, temperature
  • agitation, airflow, feed rate
  • glucose residual, ammonia, acetate
  • cell density, product titer, yield

By using a correlation heat map, you can:

  • Detect hidden relationships (e.g. DO and yield)
  • Identify redundant variables
  • Spot potential causes of poor performance
  • Build better regression models and DoE plans

Example of a Corr. Matrix and Insights:

  • A strong negative correlation between glucose residual and final titer may point to carbon-limited productivity.
  • A high positive correlation between agitation speed and DO might reveal excess aeration.
  • If cell density and titer are only weakly correlated, it may indicate product formation is decoupled from growth.

Tools to Use:

  • Python (Seaborn): sns.heatmap(df.corr(), annot=True)
  • JMP: Use the multivariate platform
  • Excel: Create a correlation matrix with =CORREL() and apply conditional formatting

Tips for Better Interpretation:

  • Use clustered heatmaps to group related variables
  • Remove constant or near-zero variance columns first
  • Pay attention to non-linear relationships that Pearson correlation might miss
  • Always compare correlations to time plots or actual process runs

Final Thoughts Fermentation data is rich and multi-dimensional. Correlation matrix heat maps help you tame complexity and make smarter, faster decisions about what to optimize next. Whether you’re designing a DoE or making sense of a failed run, it’s one of the most valuable tools to whip out with minimal effort.

All approaches have shortcomings and caveats: see my wall of text on best practices and how to better interpret/recognize the pitfalls of this method: here.

Keywords: fermentation, correlation heat map, bioreactor data, process analytics, Seaborn, JMP, multivariate analysis


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