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ManufacturingMarch 12, 2025

The Importance of Multivariate Control Charts in Pharmaceutical Manufacturing

In pharmaceutical manufacturing, maintaining a stable and predictable process is paramount for ensuring product quality and regulatory compliance.
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AvatarLarry Fiegland

Table of contents

Introduction to Control Charts

In pharmaceutical manufacturing, maintaining a stable and predictable process is paramount for ensuring product quality and regulatory compliance. Control charts are a fundamental tool in statistical process control (SPC) used to monitor process data over time and detect any unusual variation. They plot process metrics (e.g., assay results, fill weight, reaction temperature) against predetermined control limits, helping differentiate between normal “common cause” variability and problematic “special cause” variability​. By providing early warning of process shifts or trends, control charts enable timely decisions and corrections before product quality is impacted. Regulatory guidelines emphasize the use of control charts as part of ongoing process verification – for example, the FDA’s Process Validation Guidance highlights SPC charts as valuable tools in Stage 3 Continued Process Verification (CPV) to ensure the process remains in a state of control​. In short, control charts are indispensable for pharmaceutical process monitoring, helping manufacturers consistently deliver safe and effective products.

Limitations of Univariate Control Charts (UCCs)

Traditional control charts are univariate, meaning each chart tracks only a single parameter (e.g., batch yield, pH, or temperature) over time. While these univariate control charts (UCCs) are useful, modern pharmaceutical processes are complex systems with many interrelated parameters. Relying solely on UCCs can be insufficient in such cases. One issue is that analyzing each process parameter in isolation often fails to capture the bigger picture. In fact, biopharmaceutical manufacturing data are so complex that one-variable or two-variable analyses can be inefficient and may lead to misleading conclusions​. Important relationships or trends that involve multiple variables can be missed when each is reviewed on a separate chart.

Another limitation of UCCs is the practical challenge of monitoring numerous separate charts. A typical pharma process might have dozens of critical process parameters (CPPs) and critical quality attributes (CQAs) to control. Engineers and scientists would have to examine many individual charts to assess the overall process state, trying to mentally connect dots between them. This approach is time-consuming and cumbersome, making root-cause analysis and early fault detection difficult​. For example, if an upward drift in temperature coincides with a slight drop in pH, separate charts might not raise any alarms if each parameter stays within its own limits – yet together these changes could signify a developing issue. Moreover, using many UCCs increases the risk of false alarms: each chart has a small false-positive rate, and with dozens of charts the chance that one will signal an out-of-control point by sheer randomness grows substantially. In summary, while UCCs are valuable for single metrics, they struggle to effectively monitor complex, multivariate processes common in pharmaceutical manufacturing.

Advantages of Multivariate Control Charts (MVCCs)

Multivariate control charts (MVCCs) overcome these limitations by monitoring multiple parameters simultaneously on one chart​. Instead of looking at each variable alone, MVCCs consider the combined variability and correlation among variables, providing a more holistic view of the process. There are several key advantages to using MVCCs in pharmaceutical manufacturing:

  • Monitoring Multiple Parameters Together: MVCCs allow teams to track several process parameters in one unified chart. This means a single chart might incorporate, say, five different CPPs at once, rather than five separate UCCs. The Hotelling’s T² control chart is a common example, where a multivariate statistic is used to assess the deviation of a set of observations from the expected mean of a multivariate process. By condensing information, MVCCs make it easier to see the overall state of the process at a glance​. For instance, instead of juggling 8 different trend charts, a MVCC can show if the combined process trajectory is within the normal region, greatly simplifying monitoring efforts​. This comprehensive view saves time and helps focus attention where it’s truly needed.
  • Detection of Correlated Variations: A major strength of MVCCs is their ability to detect abnormal patterns that only manifest when variables are considered in combination. Often process parameters are correlated – they move together or in opposite directions due to underlying process dynamics. An MVCC will capture such correlations and can flag a multivariate out-of-control condition even if each individual parameter is still within limits. MVCCs can catch subtle, correlated shifts (e.g., two quality attributes drifting slightly in opposite directions) that a set of individual control charts would miss. By capturing interdependencies, MVCCs provide a powerful early-warning for issues that are “hidden” to univariate monitoring.
  • Improved Process Understanding and Risk Mitigation: Using multivariate charts also enhances process understanding. By analyzing multiple inputs and outputs together, scientists can learn how variables interact and jointly affect product quality. MVCCs (often coupled with multivariate analysis techniques like principal component analysis (PCA)) yield insights into which parameters tend to move together and which are driving process variation​. This deeper understanding aids in root cause analysis – when an out-of-control event occurs, the multivariate analytics help pinpoint which combination of factors is responsible, rather than investigating one parameter at a time. In essence, MVCCs provide a window into the multivariate behavior of the process, allowing teams to identify and mitigate risks more effectively. By seeing the whole process fingerprint, engineers can make more informed adjustments and prevent deviations from escalating. This leads to more robust processes with lower variability and fewer batch failures.
  • Reduced False Alarms, Maintained Sensitivity: Multivariate control charts can reduce the overall rate of false alarms while still remaining sensitive to real problems. With traditional UCCs, monitoring many independent charts often results in frequent false signals – for example, if you watch 100 charts with 3-sigma control limits, you might expect around 0.27% false alarm rate per chart, which compounded could mean up to ~27% chance that some chart signals an (incorrect) alarm at any given time​. MVCCs avoid this pitfall by monitoring the variables collectively. The process is treated as one multivariate system with a single set of control limits, so the overall false alarm probability remains around the typical 0.27% (for 3-sigma limits)​. In other words, one multivariate chart replaces dozens of univariate charts without blowing up the Type I error rate. This reduces noise and prevents “alarm fatigue” where staff might become desensitized due to too many false alerts. At the same time, MVCCs are highly sensitive to meaningful process shifts. A small drift across several parameters (each too small to trigger its UCC) can jointly push the multivariate statistic past the control threshold – alerting the team to a real deviation that would otherwise go undetected. Thus, MVCCs strike a better balance between avoiding false positives and catching true out-of-control events promptly.

Pharmaceutical Examples and Use Cases

The benefits of MVCCs are particularly impactful in pharmaceutical manufacturing, where multiple CPPs and CQAs must be tightly controlled. Critical quality attributes (CQAs) (e.g., potency, purity, dissolution) often depend on several critical process parameters (CPPs) (e.g., temperature, pH, feed rate, pressure) simultaneously. Monitoring these factors in isolation may not suffice to guarantee quality; a multivariate approach is needed to ensure that the process, as a whole, stays within the design space and produces product meeting all quality requirements.

Upstream (Bioprocess) Example: Consider a cell culture or fermentation process in a biopharmaceutical operation. Key CPPs such as pH, dissolved oxygen, agitation speed, nutrient feed rate, and temperature all influence a CQA like product titer or protein quality. Using MVCCs, a bioprocess engineer can monitor all these parameters together to see the multivariate trajectory of the batch. If an unusual covariance pattern starts to emerge (for instance, pH dropping slightly while dissolved oxygen rises unusually), the MVCC will flag it even if each value is still within its individual limits. In one published case, researchers applied principal component analysis (PCA) to bioreactor data and generated online multivariate control charts for a penicillin fermentation process. This approach enabled effective detection of process faults and deviations in real time – capabilities that are highly desirable for process monitoring in commercial manufacturing​. By simultaneously tracking multiple process variables and their interrelations, the team could identify an off-normal batch early and investigate the cause before product quality was compromised​. This upstream example demonstrates how MVCCs improve oversight of complex biological processes, ensuring CQAs like yield and purity remain on target through better monitoring of CPP interactions.

Downstream (Purification) Example: Multivariate monitoring is equally valuable in downstream pharmaceutical processes such as chromatography or filtration. In a protein purification step (for example, an affinity chromatography column), there are many process parameters to control: column load volume, flow rate, pressure, pH and conductivity of buffers, etc., as well as in-process quality measures like impurity levels or step yield. Rather than monitoring each of these on separate charts, a multivariate model can be used to visualize and control the entire operation’s performance. Researchers have reported using MVCCs and data-driven models to monitor a chromatography process, combining numerous process and quality parameters into a single multivariate framework​. This allowed them to leverage the correlation among variables and observe the overall state of the purification in real time​. For instance, if a slight change in buffer conductivity and a slight increase in column pressure together indicate an anomaly in the column binding, a multivariate chart would detect that combined excursion. The result is earlier detection of process deviations during purification and the ability to take corrective action (such as pausing the process or adjusting conditions) before the product fails specification. In practice, companies have found that MVCC-based monitoring of purification steps leads to more consistent product purity and yield, and easier compliance with regulatory expectations for continued process verification.

CQAs and CPPs in Tandem: These examples illustrate a broader point: MVCCs excel at monitoring CQAs alongside their influencing CPPs. In pharmaceutical process development and manufacturing, understanding the linkage between process parameters and quality attributes is the foundation of Quality by Design (QbD). Multivariate charts operationalize this understanding by tracking the appropriate group of parameters together. For example, if the CQA is tablet dissolution time, an MVCC might concurrently monitor granulation moisture, compression force, and coating thickness – parameters which collectively impact dissolution. Similarly in biologics, an MVCC might track a stability indicating CQA (like aggregate level in a protein product) together with CPPs such as formulation pH, filling temperature, and pump speed. By observing quality outcomes in the context of process conditions, scientists can see directly how fluctuations in CPPs affect the CQA in real time. This not only helps in ensuring compliance (since any drift can be corrected proactively), but also drives process optimization. Over time, the multivariate data can reveal opportunities to tighten control or adjust operating ranges to improve quality consistency. In summary, MVCCs enable a level of process insight and control that is difficult to achieve with univariate methods, making them increasingly essential for complex pharmaceutical manufacturing processes.

How Discoverant Enables Effective MVCC Implementation

Implementing multivariate control charts and analyses may sound challenging – after all, it requires handling large datasets, statistical calculations, and possibly advanced modeling. This is where tools like BIOVIA Discoverant come into play. Discoverant is a manufacturing analytics solution designed specifically for industries like pharma to easily aggregate data and apply advanced analytics in supply chain for process monitoring. It provides a platform that streamlines the use of MVCCs and multivariate analysis in day-to-day operations, empowering Manufacturing and Technical Support scientists to make data-driven decisions.

Hotellings T Control Chart

Discoverant addresses one of the biggest practical hurdles in multivariate process monitoring: data accessibility and integration. Pharmaceutical data often reside in silos (different databases for manufacturing execution systems, lab results, historians, etc.), making it hard to combine everything manually for analysis. Discoverant solves this by automatically aggregating and contextualizing data from disparate sources into a single source of truth​. Batch records, sensor readings, laboratory assays, and more can be brought together in real-time. This validated, 21 CFR Part 11-compliant platform ensures that all relevant process and quality data are accessible and reliable for analysis. With the groundwork of data collection automated, scientists can focus on analysis rather than wrangling spreadsheets.

On top of this unified data foundation, Discoverant provides powerful analytical tools out of the box. It supports both univariate and multivariate statistical analysis methods, offering a large variety of plotting and monitoring capabilities​. For example, users can create traditional control charts or more advanced multivariate control charts with just a few clicks. Discoverant’s analytics include built-in calculations for Hotelling’s T² statistics, PCA (principal component analysis), PLS regression, and other multivariate modeling techniques​. In practice, this means a process engineer can set up a multivariate control chart to monitor, say, five parameters of a bioreactor process, and the software will automatically calculate the combined statistic and plot it against control limits. Alerts can be configured so that if the multivariate statistic exceeds the threshold (indicating a potential issue), notifications are sent immediately – facilitating real-time monitoring and response​. This level of automation and intelligence greatly enhances decision-making: instead of manually checking numerous trends, the team gets proactive signals from Discoverant when something is off-track.

Discoverant also aids in root cause analysis and continuous improvement when a deviation occurs. Its rich toolset includes correlation matrix plots to explore relationships between variables and event “triage” charts to drill down into process shifts​. By leveraging the correlation structure of data (just as MVCCs do), the software helps scientists pinpoint what combination of factors might have led to a drift​. Over time, the insights gleaned can be fed back into process design or updated control strategies, closing the loop for continuous improvement.

Importantly for the pharmaceutical context, Discoverant is built with regulatory compliance and routine use in mind. It is a validation-ready solution, meaning it complies with regulatory requirements for electronic records (like FDA’s 21 CFR Part 11) and can be validated for GMP usage​. This is crucial for any system used in official process monitoring and reporting. Companies have used Discoverant to support their Continued Process Verification programs by automating the collection and analysis of process data, significantly reducing the effort needed for annual product reviews and regulatory reporting​. Instead of manually preparing dozens of control charts for an Annual Product Quality Review, for example, Discoverant can generate the needed multivariate control charts and summaries automatically, with full data traceability.

The net result is that Discoverant makes MVCCs practical and scalable on the production floor. It integrates seamlessly with manufacturing workflows – scientists and engineers can view multivariate trends on dashboards, set up alerts for out-of-trend conditions, and even use the tool during process troubleshooting or investigations. By having all CPPs and CQAs in one analytical environment, teams can more easily “monitor, control and reduce process and product variability,” and quickly identify root causes of any out-of-spec events​. In short, Discoverant acts as an enabler for modern, data-driven manufacturing. It brings the concept of multivariate monitoring from theory to reality, allowing pharmaceutical manufacturers to reap the benefits of MVCCs without developing custom statistical models from scratch.

Conclusion

As pharmaceutical processes become more complex and data-rich, Multivariate Control Charts (MVCCs) are emerging as an essential tool to ensure quality and compliance. They build upon the foundation of traditional control charts but extend monitoring capability to multiple parameters at once, capturing the true dynamics of the process. By detecting correlated shifts and providing a holistic view of process performance, MVCCs help manufacturers reduce variability, catch deviations early, and better understand their processes – all of which contributes to making robust products consistently​. In an industry where patient safety and product efficacy are on the line, this level of insight and control is invaluable.

Moreover, regulators encourage proactive, continuous monitoring of processes (as seen with FDA’s CPV guidelines), and MVCCs are an excellent way to demonstrate that state of control. They complement Quality by Design efforts by ensuring that interactions between CPPs and CQAs are managed within acceptable ranges during routine production. Ultimately, adopting MVCCs leads to fewer batch failures, more efficient investigations, and strengthened confidence in manufacturing processes.

Implementing MVCCs is no longer an academic exercise reserved for statisticians – with modern software solutions like BIOVIA Discoverant, even busy manufacturing and technical support teams can leverage multivariate analytics with relative ease. Discoverant provides the data infrastructure and analytical horsepower to make multivariate monitoring a practical reality, driving better decision-making on the shop floor. By embracing MVCCs (and the tools that facilitate them), pharmaceutical manufacturers position themselves to ensure higher quality, reduced risk, and improved compliance in an increasingly challenging manufacturing landscape.

In summary, moving beyond univariate control charts to a multivariate approach is a smart investment in process excellence. The next time you review your process data, consider whether you’re seeing the full picture. It may be the right moment to explore how a platform like Discoverant can help you implement multivariate control charts and unlock deeper insights into your process – ultimately safeguarding your product quality and patients.


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