Composite field dosimetry

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Composite field dosimetry Hugo Bouchard, PhD, MCCPM Senior Research Scientist Radiation dosimetry group National Physical Laboratory May 2014

Overview 1. Introduction Dosimetry protocols IAEA formalism 2. Single IMRT beams Quality correction factors Beam decomposition method Gradient effects and volume averaging Other effects 3. Composite IMRT beams Theorem for composite IMRT beams Experimental evidence 4. Calibration: PCSR TPS calibration Addendum to the IPEM UK code of practice

1. INTRODUCTION

Clinical radiation dosimetry Clinical reference dosimetry protocols Generation 1 HPA 1960 (γ), 1964 (γ), 1969 (γ), 1971 (e-), 1975 (e-) AAPM 1966 (e-), 1971 (γ), 1975 (γ) NACP 1972 (γ + e-) *ICRU #10b 1962 (γ), #14 1969 (γ), ICRU #21 1972 (e-) Generation 2 HPA 1980 (γ + e-) AAPM TG-21 1983 (γ + e-) IAEA TRS-277 1987 (γ + e-) *ICRU 1984 (e-) Generation 3 IPEM 1990 (γ) AAPM 1999 (γ + e-) IAEA 2001 (γ + e- + p+) IPEM 2003 (e-) *Strictly speaking not a protocol Actual technique

Clinical radiation dosimetry IAEA WG (2007): new nomenclature + new generation (4th) Standard beams 3rd generation Linac or cobalt Reference conditions of TG-51 or TRS-398 (or IPEM ) Nonstandard beams 4th generation New machines: Tomotherapy, Cyberknife, Gammaknife, etc. Modulation, small fields (noncompliant with TG51/TRS398) 5

Clinical radiation dosimetry Nonstandard beam protocols (generation #4) Generalized absorbed dose to water-based approach (IAEA WG) Alfonso et al, A new formalism for reference dosimetry of small and nonstandard fields, Med. Phys. 35 (11), 2008 Definitive calibration TPS calibration Standard-lab field Machine reference field Plan class specific reference field Clinical field D w N Q 0 M Q D N Q D,w D pcsr M c w N msr D,w M c w D,w c Q D w N clin D,w M c k Qmsr,Q 0 k Qpcsr,Q msr k Qclin,Q pcsr

2. SINGLE IMRT BEAMS

What is a nonstandard field? A field or beam is nonstandard if it is either modulated or small over a plane of interest with half-width comparable to the e- range

What is a nonstandard field? A field or beam is nonstandard if it is either modulated or small over a plane of interest with half-width comparable to the e- range The opposite of a flat broad beam! Flat broad beam Modulated beam Small field

What s wrong with IMRT fields? Med. Phys. 31 (9): September, 2004 Capote et al. Bouchard and Seuntjens Same conclusion: 10 D w C N, M with IMRT Q Q D w c C IMRT Q w L PflPgrP a w L PflPgrP a wall wall P cel P cel P stem P stem Q, IMRT Q, ref

Quality correction factors k Q N S, Reference field Q D w N ref D,w Q ref M c D w w L PflPgrP a w L PflPgrP a Qref N D, w kq, Q wall Nonstandard field P wall cel P P cel NS stem P Q stem ref Q M ref c nonstandard What phenomena are responsible for these corrections? Volume averaging Gradient (displacement) effect (effective point of measurement) Electron fluence perturbation caused by MLC and/or chamber

Perturbation factors Perturbation factor calculation Monte Carlo method: "chain" of scoring volumes L A Buckley and D W O Rogers, Med. Phys. 2006 J Wulff, J T Heverhagen and K Zink, Phys. Med. Biol. 2008 Crop et al. Phys. Med. Biol. 2009 Bouchard et al. Med. Phys. 2009 L w P fl P gr P wall P cel P stem a Qnonstandar d Q S Q N, ref w L PflPgrPwall Pcel Pstem a Nonstandard beams Q ref k

Water cavity Beam crossing cavity Electrons entering cavity mainly from front Electrons are produced in cavity Some electrons escape the cavity Beam not crossing cavity Electrons enter cavity sideways Some electrons escape the cavity

Sparse cavity Beam crossing cavity Number of electrons produced in cavity is less than water Electron range in cavity is higher Electrons can exit cavity more easily Fluence is lower Dose is smaller than water cavity Beam not crossing cavity Number of electrons cavity enter is slightly higher (less backscattering) Electron path is higher Fluence is higher Dose is higher than water cavity

Dense cavity Beam crossing cavity Number of electrons produced in cavity is higher Electron range in cavity is lower (mostly absorbed locally) Electrons can exit cavity less easily Fluence is higher Dose is higher than water cavity Beam not crossing cavity Electron path is smaller Number of electrons entering cavity is lower (more backscattering) Fluence is lower Dose is lower than water cavity

ρ < ρ w ρ > ρ w

What s wrong with IMRT fields? Any beam modulation or restriction changes these distinctive contributions: 1. Absorbed dose from beam area which projection crosses cavity 2. Absorbed dose from beam area which projection does not cross cavity

The beam decomposition method Effect of density Avoid modulating or restraining the perturbation zones Effect of volume size Volume averaging The size of cavity is limiting!! Chamber volume Chamber volume

3. COMPOSITE IMRT BEAMS

Composite IMRT beams k Q factors Do quality correction factors add-up?

Theorem for composite IMRT beams Theoretical approach on IMRT k Q Symmetrical measurement conditions

Theorem for composite IMRT beams Theoretical approach on IMRT k Q Concept of VSC and dosimetric equivalence Composite beam delivery Virtual Symmetric Collapsed beam k Q k Q

Theorem for composite IMRT beams Theoretical approach on IMRT k Q The k Q factor of a VSC associated with a PCSR

Theorem for composite IMRT beams For any PCSR, we have this very nice property! Composite beam delivery Virtual Symmetric Collapsed beam k Q k Q

Experimental evidence Dynamic IMRT H&N Chung et al. 2010 Med. Phys. 37:2404-13 VMAT Rosser and Bedford 2009 Phys. Med. Biol. 54:7045-7061 TomoTherapy Bailat et al. 2009 Med. Phys. 36:3891-3896 XI Medical Physics Journey, Rio de Janeiro 25

IMRT k Q : Chung et al 2012 IMRT k Q factors Experimental observations during the design of PCSR fields by Chung et al (2012) k Q 1 if dose is homogeneous

4. PCSR CALIBRATION

The future of IMRT plan calibration: PCSR beams What is a Plan Class Specific Reference field? A PCSR is an ideal delivery meant to represent a class of treatment Uses modulation and composite beams Planned with same objectives as class of plans Uniform dose in PTV-like volume Constraints on OAR doses Site-specific: prostate, head & neck, etc. Prostate PCSR

The future of IMRT plan calibration: PCSR beams What is a Plan Class Specific Reference field? It is strongly correlated to a clinical delivery Prostate PCSR

The future of IMRT plan calibration: PCSR beams PCSR dose rates would be used for calculating monitor units rather than reference beam The planned dose rate is typically calculated as D plan D D TPS, clin cal, msr D TPS, msr One can modify the relation from PCSR calibration D plan D D D D D cal, pcsr TPS, msr TPS, clin cal, msr cal msr D, TPS, pcsr D TPS, msr Dose rate correction

The future of IMRT plan calibration: PCSR beams Potential to improve accuracy of plan by reducing the dependence of error on TPS calculation c D D cal, pcsr cal, msr D D TPS, msr TPS, pcsr c is 1 for ideal TPS engine c varies with class of plans One can show that there is a benefit of using the dose rate correction if and only if 2 2 2 2 cal, pcsr cal, msr TPS, msr TPS, clin Should be << 1% National Rotational IMRT Audit: 2%

The future of IMRT plan calibration: PCSR beams Primary calibration Definitive calibration TPS correction Q 0 Standard lab conditions 5 x 10 cm 2 SSD 85 cm d ref = 10 cm PCSR Q0 N D, w Tomotherapy standard conditions (msr) Q N msr D, w Tomotherapy standard conditions (pcsr) Q pcsr N D, w f k Q, f msr ref msr, Q0 f k Q pcsr, pcsr f, Q msr msr

IPEM Code of Practice Addendum for TomoTherapy (PMB 2014) Composite correction ignored, i.e. k FC =1.000 QI for Tomotherapy must be done properly

References Lilicrap et al., PMB 1990 Almond et al. Med Phys 1999 Andreo et al., IAEA 2001 Capote et al., Med Phys 2004 Bouchard and Seuntjens, Med Phys 2004 Alfonso et al., Med Phys 2008 Crop et al., PMB 2009 Bailat et al., Med Phys 2009 Rosser and Bedford, PMB 2009 Bouchard et al., Med Phys 2009 Chung et al., Med Phys 2010 Langen et al., Med Phys 2010 Chung et al., Med Phys 2012 Scott et al., PMB 2012 Bouchard, Med Phys 2012 Thomas et al., PMB 2014