The library doesn't have a dedicated radiation oncology physics textbook, but PDD is a fundamental concept I can cover comprehensively from established knowledge. Let me give you a complete exam answer.
PERCENTAGE DEPTH DOSE (PDD)
Definition
Percentage Depth Dose (PDD) is defined as the ratio of the absorbed dose at a given depth (d) to the absorbed dose at a reference depth (d₀, usually d_max), expressed as a percentage, measured along the central axis of the beam.
$$PDD = \frac{D_d}{D_{d_{max}}} \times 100$$
Where:
- D_d = dose at depth d
- D_dmax = dose at the reference depth (depth of maximum dose)
Reference Conditions for PDD Measurement
| Parameter | Value |
|---|
| Phantom | Water phantom (tissue equivalent) |
| Field size | 10 × 10 cm (at the surface) |
| SSD | 100 cm (standard) |
| Measurement axis | Central axis |
| Reference depth | d_max (point of maximum dose) |
Factors Affecting PDD
1. Beam Energy (Most Important Factor)
- Higher energy → Higher PDD (better depth dose)
- As energy increases, the depth of maximum dose (d_max) shifts deeper
- d_max values:
- Cobalt-60: ~0.5 cm
- 6 MV: ~1.5 cm
- 10 MV: ~2.5 cm
- 15 MV: ~3.0 cm
- 18 MV: ~3.5 cm
- Higher energy beams are skin-sparing due to deeper d_max
2. Field Size
- Larger field size → Higher PDD
- Reason: More scatter radiation reaches the central axis from larger fields
- Relationship is significant at depth but less at d_max
3. Depth
- PDD decreases with increasing depth beyond d_max
- Caused by:
- Inverse square law (beam divergence)
- Attenuation and scatter in tissue
4. Source-to-Skin Distance (SSD)
- Larger SSD → Higher PDD
- At greater SSD, the beam geometry is more parallel (less divergence)
- Governed by the inverse square law
- PDD at extended SSD is calculated using the Mayneord F-factor:
$$F = \left(\frac{SSD_2 + d_{max}}{SSD_1 + d_{max}}\right)^2 \times \left(\frac{SSD_1 + d}{SSD_2 + d}\right)^2$$
PDD Curve - Key Characteristics
100% |----peak (d_max)
| \
| \
PDD | \
| \
| \
0% |________\______
Depth in tissue →
- Build-up region: From surface to d_max - dose increases due to secondary electron buildup
- d_max: Point of maximum dose = 100% reference point
- Beyond d_max: Exponential fall-off of dose with depth
Skin-Sparing Effect
- A unique property of megavoltage beams (>1 MV)
- At the skin surface, dose is lower than d_max because:
- Secondary electrons (from Compton interactions) travel forward
- They deposit maximum energy at a depth (d_max), not at the surface
- Clinical importance: Allows delivery of high tumor doses while sparing skin
- Lost when:
- Bolus material is applied
- Very large field sizes used
- Beam obliquity increases
- Beam modifiers (trays, blocks) are close to skin
PDD vs. TAR vs. TMR - Comparison (Exam Favorite)
| Feature | PDD | TAR (Tissue-Air Ratio) | TMR (Tissue-Maximum Ratio) |
|---|
| Reference point | d_max in air | Air (no phantom) | d_max in phantom |
| SSD dependent | Yes | No | No |
| Used for | SSD technique | SAD isocentric (old) | SAD isocentric (modern) |
| Applicable | All energies | Only up to Co-60 | Megavoltage only |
| Field size defined at | Surface | Depth | Depth |
Clinical Applications of PDD
- Treatment planning - To calculate dose at tumor depth from surface dose
- Choosing beam energy - Higher energy for deep tumors
- Calculating MU (Monitor Units):
$$MU = \frac{Prescribed\ Dose}{Output\ factor \times PDD/100 \times Other\ correction\ factors}$$
- Comparing beam quality of different machines
- Bolus prescription - To deliberately reduce PDD and increase surface dose
PDD at Specific Depths - Approximate Values
| Depth | Co-60 | 6 MV | 10 MV | 15 MV |
|---|
| d_max | 100% | 100% | 100% | 100% |
| 5 cm | ~75% | ~85% | ~91% | ~93% |
| 10 cm | ~56% | ~67% | ~74% | ~78% |
| 15 cm | ~41% | ~52% | ~60% | ~65% |
| 20 cm | ~30% | ~40% | ~48% | ~54% |
(Higher energy = less dose fall-off with depth)
Extended SSD Technique and PDD Correction
When treating at non-standard SSD, use the Mayneord F-factor to correct PDD:
- If SSD is increased (e.g., large patient, special techniques like TBI - Total Body Irradiation):
- PDD increases slightly
- Must recalculate using F-factor
Relationship Between PDD and Other Dosimetric Quantities
- TAR = PDD × (SSD + d)² / (SSD + d_max)² × (1/BSF)
- TMR = PDD × (SSD + d)² / (SSD + d_max)²
Key Exam Points / Mnemonics
"FEED" - Factors increasing PDD:
- Field size ↑
- Energy ↑
- Extended SSD ↑
- Depth... wait, depth decreases PDD (the exception!)
Remember:
- PDD is an SSD-dependent quantity - this is why TAR/TMR (SSD-independent) are preferred in isocentric techniques
- 10 MV at 10 cm depth ≈ 74% - a commonly asked value
- Cobalt-60 d_max = 0.5 cm - shallowest d_max among megavoltage beams
- Skin sparing is a megavoltage phenomenon - not seen with orthovoltage (kV) beams
Quick Recall Summary (For Last-Minute Revision)
PDD = (Dose at depth / Dose at d_max) × 100
Measured in water phantom, 10×10 field, 100 cm SSD
Increases with: ↑ Energy, ↑ Field size, ↑ SSD
Decreases with: ↑ Depth
SSD-dependent (unlike TAR/TMR)
Skin sparing = d_max shifts deeper with higher energy
This is a complete long-answer (15-20 marks) level response. Ask the next topic whenever you're ready!