🎓 Part 7: Quality by Design (QbD) Applications

Integrating DoE with QbD Framework for Systematic Formulation Development

📚 Learning Objectives

Duration: 30 minutes | Format: Interactive workshop with hands-on tools

🔬 QbD Framework Fundamentals

Step-by-Step Understanding: What is Quality by Design?

Step 1 - Traditional Approach Problem: "Let's think about the old way - we developed a formulation, tested it, and if something failed, we fixed it. This reactive approach was costly and time-consuming."
Step 2 - QbD Philosophy: "QbD says: Let's understand the science FIRST, then design quality into the product from the beginning. Use statistics and DoE to build knowledge."
Step 3 - Regulatory Benefits: "FDA/EMA reward this approach with more flexible manufacturing and faster approvals. Why? Because you've proven you understand your process."

🎯 The Four Pillars of QbD

1. QTPP (Quality Target Product Profile)

Definition: Summary of the quality characteristics that ideally will be achieved to ensure the desired quality, taking into account safety and efficacy.

💊 Example: Immediate Release Tablet

  • Dosage Form: Oral tablet, immediate release
  • Strength: 250 mg active ingredient
  • Route of Administration: Oral
  • Dissolution: ≥85% in 30 minutes (USP <711>)
  • Shelf Life: 24 months at 25°C/60% RH

2. CQA (Critical Quality Attributes)

Definition: Physical, chemical, biological, or microbiological properties that should be within an appropriate limit to ensure the desired product quality.

Quality Attribute Target Specification Range Critical? Impact on QTPP
Assay (% label claim) 100% 95.0 - 105.0% ✅ Yes Efficacy/Safety
Dissolution Rate ≥85% at 30 min ≥80% at 30 min ✅ Yes Bioavailability
Content Uniformity AV ≤ 15 AV ≤ 15 ✅ Yes Dose consistency
Hardness 8-12 kp 6-15 kp ⚪ No Handling
Friability ≤0.8% ≤1.0% ⚪ No Handling

3. CPP/CMA (Critical Process Parameters / Critical Material Attributes)

Definition: Input variables that, when varied within their ranges, have a significant impact on CQAs.

🔧 Critical Process Parameters
  • Compression Force (5-15 kN)
  • Granulation Time (3-7 minutes)
  • Drying Temperature (40-60°C)
  • Blend Time (5-15 minutes)
📦 Critical Material Attributes
  • API Particle Size (10-50 μm)
  • Binder Concentration (2-6%)
  • Lubricant Level (0.5-1.5%)
  • Moisture Content (≤3%)

📊 Design Space Definition and Visualization

Step-by-Step Reasoning: Building Design Space

Step 1 - Mathematical Definition: "Design Space is the multidimensional combination of input variables (CPPs) and process parameters that provide assurance of quality."
Step 2 - Statistical Basis: "We use DoE models to predict CQA responses. Where all CQAs meet specifications = Design Space."
Step 3 - Regulatory Significance: "Working within Design Space is not considered a change requiring prior approval. This is regulatory flexibility!"

🎯 Design Space Construction Process

📈 Method 1: Contour Overlay Approach

Step 1: Individual Response Contours
  • Dissolution ≥ 85% (Green Region)
  • Assay: 95-105% (Blue Region)
  • Content Uniformity AV ≤ 15 (Yellow Region)
Step 2: Overlay Analysis
  • Find intersection of all acceptable regions
  • Common area = Proven Acceptable Range
  • Edge of failure = Process boundaries

💊 Worked Example: Tablet Compression Design Space

Scenario: We have DoE models for Compression Force (X₁: 5-15 kN) and Binder % (X₂: 2-6%)

Step 1 - Model Equations from DoE:
• Dissolution % = 87.5 + 3.2×X₁ - 2.1×X₂ - 0.8×X₁×X₂
• Hardness (kp) = 9.2 + 2.5×X₁ + 1.3×X₂ + 0.4×X₁×X₂
Step 2 - Constraint Equations:
• For Dissolution ≥ 85%: 87.5 + 3.2×X₁ - 2.1×X₂ - 0.8×X₁×X₂ ≥ 85
• For Hardness 6-15 kp: 6 ≤ 9.2 + 2.5×X₁ + 1.3×X₂ + 0.4×X₁×X₂ ≤ 15
Step 3 - Design Space Boundaries:
• Safe Operating Region: Compression Force 7-13 kN, Binder 2.5-5.5%
• Edge of Failure: Outside these ranges, quality specifications fail

📊 Edge of Failure Analysis

Safe Zone

All CQAs meet specifications with high confidence

Risk Level: Low
Edge Zone

Some CQAs approach specification limits

Risk Level: Medium
Failure Zone

One or more CQAs fail specifications

Risk Level: High

💻 Excel Implementation for Design Space

=IF(AND(Dissolution_Model>=85, Hardness_Model>=6, Hardness_Model<=15), "Acceptable", "Outside Design Space")

Where:

  • Dissolution_Model = 87.5 + 3.2*Force - 2.1*Binder - 0.8*Force*Binder
  • Hardness_Model = 9.2 + 2.5*Force + 1.3*Binder + 0.4*Force*Binder

⚠️ Risk Assessment and FMEA Integration

Step-by-Step Reasoning: Why Risk Assessment in QbD?

Step 1 - Proactive vs Reactive: "Instead of waiting for problems, we identify potential failure modes before they happen."
Step 2 - Statistical Evidence: "DoE provides data on how likely failures are and which factors cause them."
Step 3 - Prioritized Actions: "FMEA scores help us focus resources on the highest-risk areas first."

🔍 FMEA (Failure Mode and Effects Analysis) in Formulation

Risk Priority Number (RPN) Calculation

Formula: RPN = Severity × Occurrence × Detection

Severity (1-10)
  • 1-3: Minor impact (cosmetic defects)
  • 4-6: Moderate impact (out of spec, rework)
  • 7-8: High impact (batch failure)
  • 9-10: Critical (safety risk)
Occurrence (1-10)
  • 1-2: Very rare (DoE shows robust)
  • 3-5: Occasional (moderate sensitivity)
  • 6-8: Frequent (high variability)
  • 9-10: Almost certain (edge of failure)
Detection (1-10)
  • 1-2: Almost certain detection
  • 3-5: High detection probability
  • 6-8: Moderate detection
  • 9-10: Poor detection capability
Action Criteria
  • RPN 1-50: Monitor
  • RPN 51-150: Action recommended
  • RPN 151-300: Action required
  • RPN >300: Immediate action

💊 FMEA Example: Dissolution Failure Analysis

Failure Mode Potential Cause Severity Occurrence Detection RPN Action Required
Low dissolution rate Excessive lubricant 8 4 3 96 Tighten lubricant control
Tablet too hard High compression force 6 6 2 72 Monitor force closely
Content non-uniformity Poor blending 9 3 4 108 Validate blend process
DoE-Informed Occurrence Scoring: "DoE tells us how sensitive each response is to factor changes. High sensitivity = higher occurrence score."

🎛️ Control Strategy Development

Step-by-Step Reasoning: Building Robust Control

Step 1 - Three Levels of Control: "Control strategy operates at material level, process level, and final product level. Each builds on DoE knowledge."
Step 2 - Risk-Based Approach: "Highest risk parameters (high RPN) get the tightest controls and most frequent monitoring."
Step 3 - Real-Time Release Testing (RTRT): "When process understanding is strong enough, we can release based on process data instead of waiting for end-product testing."

🔧 Control Strategy Framework

📦 Material Controls
  • API Particle Size: 20-40 μm (±5 μm tolerance)
  • Excipient Moisture: ≤2.5% (critical for flow)
  • Binder Viscosity: 15-25 cP (affects granulation)
  • Release Strategy: Certificate of analysis + incoming inspection
⚙️ Process Controls
  • Granulation Endpoint: Power consumption method
  • Compression Force: Real-time monitoring ±5%
  • Blend Uniformity: NIR spectroscopy validation
  • Environmental: Temperature 20-25°C, RH 40-60%
🔬 Product Controls
  • Weight Variation: Every tablet weighed
  • Hardness: 10 tablets per hour
  • Dissolution: 6 tablets per batch (or RTRT)
  • Assay/CU: Validated sampling plan
📊 Continuous Monitoring
  • Control Charts: X-bar and R charts for CPPs
  • Trend Analysis: Weekly review of capability indices
  • Alert Limits: 95% confidence intervals from DoE
  • Action Limits: Specification boundaries

📈 Real-Time Release Testing (RTRT) Qualification

💊 RTRT Example: Dissolution Prediction Model

Scenario: Can we predict dissolution from in-process measurements instead of waiting 45 minutes for dissolution test?

Step 1 - Model Development:
Dissolution % = 85.2 + 1.8×(Hardness) - 0.3×(Hardness)² + 4.2×(Disintegration Time)
Step 2 - Model Validation:
• R² = 0.94 (excellent fit)
• Validation batches: 15 batches, prediction error <3%
• 95% Prediction Interval: ±4.2%
Step 3 - RTRT Decision Criteria:
• IF predicted dissolution ≥ 89% (85% + 4% buffer), THEN release
• IF predicted 81-89%, THEN test dissolution
• IF predicted <81%, THEN investigate immediately

💻 Excel RTRT Calculator

=85.2 + 1.8*B2 - 0.3*B2^2 + 4.2*C2

Where B2 = Hardness (kp), C2 = Disintegration Time (sec)

=IF(D2>=89,"RELEASE",IF(D2>=81,"TEST","INVESTIGATE"))

Where D2 = Predicted dissolution %

📋 QbD Regulatory Documentation

Step-by-Step Reasoning: Regulatory Filing Strategy

Step 1 - Tell the Story: "Regulators want to see the journey from QTPP to final product. Show how DoE built your understanding."
Step 2 - Evidence-Based Justification: "Every control strategy decision should be backed by statistical evidence from your DoE studies."
Step 3 - Design Space Benefits: "Clearly articulate the regulatory flexibility you're requesting and why it's justified."

📄 QbD Submission Checklist

✅ Section 1: Quality Target Product Profile (QTPP)

  • Intended use and patient population
  • Route of administration and dosage form
  • Strength and dose frequency
  • Pharmacokinetic characteristics
  • Stability and shelf life targets

✅ Section 2: Critical Quality Attributes (CQAs)

  • Risk assessment linking QTPP to CQAs
  • Justification for criticality decisions
  • Specification limits with statistical rationale
  • Test methods and their validation status

✅ Section 3: Design of Experiments Summary

  • DoE strategy and design justification
  • All factors studied (CPPs and CMAs)
  • Statistical models and their adequacy
  • Model validation and confirmation studies
  • Raw data in appendices

✅ Section 4: Design Space Definition

  • Mathematical/graphical representation
  • Edge of failure analysis
  • Proven acceptable ranges for all CPPs
  • Robustness demonstration
  • Scale-up considerations

✅ Section 5: Control Strategy

  • Risk-based control approach
  • Material, process, and product controls
  • RTRT qualification (if applicable)
  • Continuous monitoring plan
  • Change management procedures

📝 Sample Regulatory Language

"Design Space Justification" Section Example:

"The Design Space was established through a systematic DoE approach using a Central Composite Design (CCD) with 3 factors and 17 experimental runs. Statistical models were developed for three CQAs: dissolution rate (R² = 0.96), hardness (R² = 0.91), and assay (R² = 0.94). The Design Space represents the region where all CQAs simultaneously meet their specifications with 95% confidence. Operating within this Design Space provides assurance of quality and is not considered a change requiring prior regulatory approval per ICH Q8(R2) guidance."

🎮 Interactive QbD Workshop

Workshop Progress

Ready to start! Click the activities below to practice QbD concepts.

🎯 Activity 1: QTPP Builder

Define QTPP for a new sustained-release formulation

📊 Activity 2: Design Space Mapper

Use DoE results to visualize and define Design Space

⚠️ Activity 3: FMEA Calculator

Conduct risk assessment and calculate RPN scores

🎛️ Activity 4: Control Strategy Designer

Build comprehensive control strategy framework

🎯 Key Takeaways

🔑 Essential QbD Principles

1. Science-Based Development

Use DoE to understand cause-and-effect relationships. Build statistical models that predict quality attributes.

2. Risk-Based Decision Making

Focus resources on high-risk areas. Use FMEA to prioritize controls and monitoring.

3. Regulatory Flexibility

Design Space provides manufacturing flexibility. Changes within Design Space don't require prior approval.

4. Continuous Improvement

Use ongoing data to refine understanding. Update Design Space as knowledge grows.

🏆 QbD Success Story

Case Study: Major pharmaceutical company implemented QbD for tablet manufacturing:

  • Development Time: Reduced from 18 to 12 months
  • Batch Failures: Decreased from 8% to 0.5%
  • Regulatory Interactions: 60% fewer information requests
  • Manufacturing Flexibility: Ability to adjust 5 process parameters without prior approval
  • Cost Savings: $2.3M annually through reduced testing and failures

🚀 Ready for the Next Challenge?

You've mastered QbD integration! Next, we'll apply everything in Part 8: Statistical Analysis Workshop where you'll conduct complete ANOVA analysis of DoE data.