TLD and Monte Ca arlo Techniques q for Monte Carlo an nd Reference-Qualit ty Experimental Brachytherapy Dosimetry ofmetry Low-energy Low energy Dosim AAPM Sum mmer Brachythera apy School Sources 23 Jun ne 2009 Jeffrey F. Wi illiamson, Ph.D. Jeffrey F. Willliamson, Ph.D. Virginia Common nwealth University Mark R. Riv vard, Ph.D. T ft N Tufts-New E Englan l nd d Medical M di l Center C t VCU Radiatio on Oncology gy Virginia Commonw wealth University Learning Ob bjectives • To review the requirements s and challenges of quantitative brachytherapy dosimetry – Detector selection – Roles of experimental and co omputational dosimetry • T To review i the th formalism, f li te t chniques, h i and d associated i t d uncertainties of – current TLD dosimetry practices – Current Monte Carlo simulation dose-estimation practices • To review emerging developments – Improved energy-response corrections for TLD-100 – New detector systems – Model-based Model based dose dose-calculatio calculation algorithms Potential COI Disclosures • Williamson – Research grants supported by Varian and Philips • Rivard – Research R h grants t supported by Nucletron, Varian,, and IsoRay y (Radiumhemmet, Stockholm: 1945) What is “Quantitattive Dosimetry?” y • Williamson’s definition: absorbed a dose estimation method providing – Accurate representation of well-defined physical quality – Rigorous uncertainty analy ysis <10% uncertainty 0 0.5 5 to 5 cm in liquid water – Traceable to NIST primary standards s (SK,N99) • Applications – Single-source dose-rate arrrays for TG-43 parameter d t determination i ti (“Reference (“R f quality” lit ” dose d distributions) di t ib ti ) – Direct treatment planning – Validating semi-empirical a algorithms Single-Source Do ose Distributions S Superposit ittion ti Model M d l r Isodoses 100 cGy/h 50 20 10 7 5 3 1 0.5 Single-source Si l d dose distribution di ib i = Dosimetry uperposition of multiple source doses Su = Treatment Planning Criteria for experim mental dosimeters • Dosimetric environment – Large Dose Gradients – Wide Range of Dose Rates – Low Photon Energies • Signal stability and reprod ducibility – Spatially and temporally constant Sensitivity (signal/dose) – Free of fading fading, dose-rate dose rate efffects • Small size, high sensitivity y, large dynamic range – Small size: avoid averaging dose gradients – Large size: Good signal at low doses • ±20 m positioning accura acy needed for 2% accuracy • Support measurements att many points Solid Water Phantom ms for TLD Dosimetry Transverse Axis Measurement Phantom Polar Dose Profile Measurement Phantom 90 120 135 160 180 o o o o 60 o 45 o 20 o 100-200 m positional ac ccuracy achievable 0 o o TLD De etectors • Use TLD-100 LiF extruded ribbons (‘chips’) 1 x 1 x 1 mm3 at distances 2 cm 3 x 3 x 0.9 mm3 at distances 2 cm • Use RMI 453 Machined So olid Water Phantom – Composition (CaCO3 + orga anic foam) not stable – Either p perform chemical ass say y or use high g purity p y PMMA • Annealing protocol 1 hour 400° 400 C followed by 24 4 hours of 80 80° C pre-irradiation pre irradiation OR 1 hour 400° C pre-irradiation followed by y 10 minutes at 100° C Post-irradiation Brachytherap py Dosimetry Detector at (x,y,z) Source Gexp Solid Water Phantom Dose rate to Water at (x,y,z) Gref Liquid Water Reference Sphere • Giv ven: M(r) = dosimeter (TLD or Dio ode) reading in geometry Gexp • Des sired: D med (r) S K absorbed dos se rate to water in reference geo g ometry, y, Gref • Man ny Corrections – Detector D sensitivity – Phantom P vs reference geometry – Radiation R field Perturbation – Detector D response artifacts Experimental Dos se Measurement-I (r) D M kl (M) g(T) pphant (r) med rel S S S (M ) S K K AD 0 AD (r) M(r) kl (M M0 ) g(T) pphant (Q exp ,Gexp Qref ,Gref ;r) SK S AD (M0 ,Q 0 ,G0 ) S (Q 0 ,G0 Q exp ,Gexp ,r) re el A AD • M = reading at position r in geo ometry Gexp and spectrum Qexp • SK = Measured Air-Kerma Sttrength rl T • g(T) (T) = decay d correction ti over integration t ti interval, i t • Kl(M) = linearity correction rela ative to reference level, M0 • SAD = M0/Dmed0 = absorbed dose e sensitivity in calibration beam with geometry G0 and sp pectrum, Q0 Experimental Dos se Measurement-II (r) D med SK M kl (M) g(T) pphant (r) SK S AD (M0 ) Srel AD (r) • Relative absorbed dose sens sitivity: corrects for impact of G0/Q0 vs. vs Gexp/Qexp differences s on dosimeter response S (Q0 ,G0 Qexp ,Gexp ,r) rel AD SAD,wat (r,M0 ,Qexp ,Gexp ) SAD,med0 (M0 ,Q0 ,G0 ) • Phantom correction factor: impact of Gexp/Qexp vs. vs Greff/Qreff differences on dosimeter response Dwat (r,Qref ,Gref ) pphant,wat (Qexp ,G Gexp Qref ,G Gref ;r) Dwat (r,Qexp ,Gexp ) TLD rea adings n (T TLi TLbkgd ) i1 Si M(r) ( ) 1/ n • TLi is i Measured M d Respon R nse off ii-th th detector d t t att r • Si is relative sensitivity of ii-th th detector derived osed to uniform doses from reading TLDs expo • TG-43 recommends n = 5-15 Relative Enerrgy Response E(Q 0 ,G0 Qref ,Gref ,r;Gexp ) Srel AD (Q 0 ,G0 Q exp ,Gexp ,r) pphant,wat (Q exp ,Gexp Qref ,Gref ;r) k (Q 0 Q exp ;M0 ) f (Q 0 ,G0 Q exp ,Gexp ,r) rel bq rel pphant Gexp Qreff ,Greff ;r) h t (Q exp ,G • Absorbed dose energy dependence d Ddet Dwat (r,Q (r Q exp ,G Gexp ) f(r,Q f(r Q 0 ,G G0 ) f (Q 0 ,G0 Q exp ,Gexp ,r) f(r,Q exp Ddet Dmed0 (Q 0 ,G0 ) e ,Gexp ) rel • Relative intrinsic energy y dependence k (Q 0 Q exp ;M0 ) rel bq kbq (M0 ,Q Q0 ) kbq (M0 ,Q Q exp M D (r,Q ,G ) M D (Q ,G ) 0 d t det 0 exp det 0 exp 0 ) Estimation st at o o of Energy e gy-Response espo se Co Corrections ect o s • Theoretical Approximation EThy (r;Gexp ) f rel (Q 0 , G0 Q exp ,G Gexp ,r)) pphant (Q expp ,Gexp Qref ,Gref ;r) assuming k (Q 0 Q exp e ;M0 ) 1 rel bq • Direct measurement: x-ray y beam b with spectrum p QFS Qexp Emeas (r;Gexp ) SK,air (M0 ,Q exp ,G , FS ) S AD,med0 (M0 ,Q Q 0 ,G G0 ) K air Dwaat (QFS ,GFS ) pdisp (r,Gexp ) p VolAvg (r,Gexp ) pphant,wat (Gexp Gref ;Q exp ,r) Com mpare detector to “matched” X ray X-ray y Beam calibration in Free Free-Air Air QFS 40-120 kVp SK,air (QFSS ) M QFS ,GFS KFS air air en / (QFS ) SK,air (QFS ) wat E(r) S AD (Q 0 ) p VolAvg pdisp (r) pdisp ed ion chamber pdisp ((GFS Scintillator Detector D wat in mediu um Gexp ) 0.97 FS K wat iin cavit ity Dwat (r) Dwatt (r) at point r p VolAvg (Q exp ,G Gexp ) 1 (0 80 1 1.00) 00) (0.80 Dwat (r) V Dwat (r ')dV ' V(r ) Measured TLD-100 rela ative Energy Response Relattive Enerrgy Resp ponse 1.5 Best fit line Reft 1988 Muench ue c 1991 99 Hartmann 1983 Weaver 1984 Meigooni 1988b 1.4 1.3 – Dolan (2006) in water medium di – 6711 125I • Emeas = 1.39-1.44 1 39-1 44 for 125I 12 1.2 – 1980-1990 in-air measurements 1.1 • Conclusion: 1.0 0.9 1 10 • Ethy(1 cm) = 1.42 2 10 3 10 Photon energy (KeV) EThy Emeas krel bq (4 MV 125 I) 1 • Conventional choice: E =1.4 = w/o regard to details • 2004 TG-43 U1 has assign ned 5% uncertainty to E Monte Carlo vs. TLD T Dose Rates 125 S 14 Models and 25 comparisons I Seeds: 0 979 0 0.045 045 (1 cm) 0.979 MC C TLD D 1.002 0.066 (5 cm) 103 d Seeds: 5 Models and 10 comparisons Pd 0 982 0 0.028 028 (1 cm)) 0.982 MC C TLD D 1.045 0.106 (5 cm) Modern Measurem ments: kbg 1 1.15 Davis (2003) 3x3 3x0.4 mm Das (1996) 3x3x x0.9 mm 3 3 Nunn (2008) 3x3 3x0.8 mm krel bq (Q 0 Q) 3 1.10 det Relative Intrinsic Energy y Dependen nce (TL/D ) Nunn 2008, Davis 200 03, and Das 1995 Srel K,air (Q 0 ,Gfs Q,Gfs ) fKrel (Q 0 ,G Gfs Q,G Q Gfs ) 1.05 Nunn-Davis Results 1.00 0.95 k 10 100 1 1000 rell bq 1.09-1.10 1.10 2% 23 keV 1.09 1.08-1.11 2% 32 keV Photon Energy (keV) Energy linearity of TLD D is controversial Impact of krel Revisions on o MC-TLD Agreement • Rivard comparisons of TLD and MC at 1 cm and 5 cm for 125I and 103Pd sources • Revised krel > 1.05 will sig gnificantly worsen agreement M Monte Carlo/TLD dose rate Source 125 Distance Krel bq 1.00 rel rel K 1.075 K Krel 1.05 bq bq 1.10 bq 1 cm 0.979 ± 0.045 1.028 1.052 1.077 5 cm 1 002 ± 0 1.002 0.066 066 1 052 1.052 1 077 1.077 1 102 1.102 1 cm 0.982 ± 0.028 1.031 1.056 1.080 5 cm 1.045 ± 0.106 1.097 1.123 1.150 I 103 Pd Relative Ene ergy Respon nse: E(d) Absorbed Dose Energy y Response Correction 1.45 I--125 Seed Ethy h (d) in Solid Water 1.35 Patel, Chiu-Tsao, Williamson 2001 1.25 1.15 LiF Point Detector 1x1x1 mm TLD-100 Chemical Analysis: 1.6% % Ca RMI Specifications: 2.3% Ca { 1.05 0 1 2 3 3 1x1x1 mm TLD-100 3 4 5 Dis stance (cm), d • Ethy is not a constant – 4% variation with distance even in water – Displacement correction 4% fo or 1 mm mini-cubes • Solid-to-Liquid Water correction: 4%-15% at 1-5 cm – 10-30% variations in SW [Ca] rep ported 5%-20% dosimetric errors Absorbed Dose Energy y Response Correction Relative E (1 cm, fo or Model 6711 125 thy I Source Dolan et al. Med. Phys. 2006 o E (1 cm, )/E (1 cm, 90 ) 1.25 1.20 PMMA: Point P P PMMA: Volume L Liquid water: Point L Liquid water: Volume S Solid water: Point S Solid water: Volume thy thy y 1.15 1.10 1.05 1.00 0 95 0.95 0 10 20 30 40 50 60 70 80 90 Polar Angle (Degrees) • Up to 22% variation in E(r,) with polar angle TLD uncertainties: (r) / S D wat K for Model 6711 125I in PMMA 1 cm distance 5 cm distance Component % x i Type % x Type i TLD reading statistics 1.3% A 2.2% A TLD calibration ((including g Linac calibration)) 1.8% A+B 1.8% A+B f rel (Q 0 Q exp ,r) and pphant (Gexp Gref ,r) 0.7% B 1% B Seed/TLD positioning (d = 100 m) 1.2% B 0.2% B krel b (Q 0 Q exp ) bq 5% B 5% B NIST SK + one local transfer 1% B 1% B Combined std. uncertainty (k = 1) 5.7% 5.9% M Monte C Carlo l uncertainties: i i M d l 6711 Model 6 11 seed d iin liquid li id water Distance 1 cm 5 cm 10 cm Statistics 0.2% 0.3% 0.7% Photon cross-sections 0.7% 2.4% 4.1% Seed geometry 1.1% 0.9% 0.8% Source energy spectrum 0.2% 0.3% 0.5% Combined std. uncertainty (k =1) 1.3% 2.6% 4.3% Adapted from Dolan et al. Med Phys 2006 Other dosime etry y systems y • Single element detectors – High sensitivity, small size,, good SNR, and waterproof – Plastic scintillator » Used as transfer/relative dosimeters for beta sources » Large (30%) energy nonlinearity – Diode: underutilized in pre esenter’s opinion » Energy linearity well esttablished » Large E(d) variation for medium energy sources » Established as relative d dosimeter for low-energy low energy • 2D/3D dosimetry media – Radiochromic film and poly ymer gels – Improved positional accura acy and spatial resolution R Radiochromic Film • Le an nd Williamson 2006 – MD D-55-2 RCF with LDR 137Cs source – 6 day d exposure – Un Uncertainty t i t (k = 1) < 3 3.4% 4% ffor D D>5 5G Gy, 0.1 1 mm spatial resolution, doubleexp posure technique – Ag greement with MC 3% • Chiu-Tsao Tsao 2008 – EB BT RCF with Model 3500 125I seed – 0.6 6 to 279 h exposures p – Re elative dose mapping (k=1) uncertainty 4% at 0.2 mm spatial res solution – Go ood agreement with TG-43 Summary: y TLD p ph hantom dosimetry y • 1-3 mm size precision: 2-5% 2 above 1 cGy • Energy response correctio ons – Distance independent, exclud ding phantom corrections – Value of kbq is controversial ((<10%) – Highly approximate frel values s are routinely used • Widely Widely-used used SW phantom h has uncertain composition – High-purity industrial plastics s recommended • Extensive benchmarking off TLD vs Monte Carlo – 2-10% agreement for Pd-103 and I-125 sources – 6%-10% absolute dose measurement uncertainty Basic Discrete Event Monte M Carlo Algorithm Randomly select Location, direction & energy gy of p primary y photon select distance to next collision Select type of collision Photon Collision Select type of collision Hetero ogeneity Ag core Ti capsule I-125 Seed Scoring Bin, V Select Energy and angle g of photon p leaving collision Score collision’s dose contribution Collisional Physics Re equirements for LowE Energy Brac B chytherapy h th • Only photon transport needed – Secondary CPE obtains (Dos se Kerma) – Neutral-particle variance red duction techniques useful • Comprehensive model of photon p collisions – NIST EXCOM or EPDL97 Cro oss sections are essential!! – Coherent scattering and elec ctron binding corrections » Use molecular/condensed d medium form factors – Characteristic x-ray emission from photo effect • Options: MCNP, EGSnrc, VCU’s V PTRAN_CCG, GEANT, Penelope 6711 silver rod end Electron microscopy Geometric Model Validation DraxImage I-125 Seed 6711 contact radiographs Contact Radiograph Final Model Calculation of TG G-43 Parameters by MCPT M MCPT calculates per disinttegration within source: - Dose to medium, Dmed(r), near n source in phantom geometry: usually 30 cm liq quid water sphere - Air-kerma strength, SK, in free-air f geometry usually 5 m air sphere or detailed model m of calibration vault Dwat (r 1 cm m, / 2) SK Dwat ((r, / 2)) G(1 ( cm, / 2)) g(r) Dwat (1 cm, / 2) G(r, / 2) Analog g and Trackleng gth Dose Estimation g Need cubic array of voxels: 1x1 1x1 mm3 to 2x2x2 mm3 S 1,4 ,4 S 1 Analo ogue Estimator (EGS method) j=1 rn+1 2 (n+1,E En+1) 3 4 rn D2,3 2 3 from n+1 Energy in - Energy out voxel mass Expec cted Value Tracklength Estimator (n,En) D1,4 1 4 from n En s1,4 voxel volume en 250 mm diameter 153mm Long Wide-angle g Free Air Chamber 80mm 150mm m 300mm Source 0.08 mm Al filter 1 mm thick tungsten collimator V V/2 NIST Primary Standard interstitial sources photons < 50 keV 0 (Gu uard Ring) SK,99N 11 mm lo ong, 250 mm ID I electrode e (I153 I11 )d2 (W / e)) k i air (V153 V11 ) i Kerma at a Point: Next N Flight Estimator (r1,1,E 1,W1 ) (r0 ,0 ,E 0 ,W0 ) Photon Collision 0,E E0 1,E1 n,r ' ,En,r ' 2,E 2Heterogeneity core AgAgcore r3 Ti capsule I-125 Seed 3,E 3 r |r ' rn | e D(r ')) from n p n,r ' En,r ' ( en / ) | r rn |2 Calculatio on of SK E t Extrapolated l t d Poin P int-Kerma tK method th d • Place sealed source model at a center of large air sphere • Calculate air-kerma/disintegration, Kair(d), as function transverse axis distance, d free-space space ge eometry by curve fitting • Extrapolate to free 2 d K air (d) d S K (1 d) e Where SK and are unk knowns (1 + d) - SPR accounts ffor scatter buildup = primary photon atten nuation coefficient Next-Flight Estim mator Application Use point dose at center of 60 m x 3 mm Si active volume to approximate D Scanditronix Electron Field Diode Monte Carlo Model Li & Williamson Williamson, PMB 1993 1 kbg (d) D(d) DNF (d) M(d) MC M(d) MC Monte Carlo quantities and estimators for typical seed s study Dwat (cGy/simulated photon): Transverse axis angular dose profiles Next-flight estimator for all distances Track-length Track length estimator for RTP R voxel grid Eab Energy imparted to WAFA AC volume/simulated photon Track length estimator wheen fluence varies over detector Track-length Next-flight point dose estim mator for TLD/diode detectors > 2 ccm from o source sou ce Transverse-axis K air at geometric points in free air angula ar fluence profile (30 cm) Track length for WAFAC a distribution Next-flight for transverse axis Models 200 (103Pd), 6702 (125I) and 6711 (125I) Seeds • Model 200 0.826 0.612 0.800 0.700 0 560 0.560 0.80 00 0.70 00 0.890 0.50 00 – 103Pd distributed in thin (2-25 m) Pd metal coating of right circular graphite cylinder li d – 125I distributed on surface of radio transparent resin spheres 3.000 3.500 4.500 0.600 3.500 2.200 4.500 4.500 3.140 1.090 0 • Model 6702 0.510 • Model 6711 Pb marker Graphite pellet Ti Capsule Resin spheres Ag Rod R Ag-h halide layer – 125I distributed in thin ((3 m)) silver-halide coating of right circular Ag cylinder Sharp corners and d opaque coatings Thin Highdensity coating Low-density core Near transverse-axis: Anisotropic at long distances I t Isotropic i att short h t distances di t Inverse square-law deviations Anisotropic at long and short distances Circular ends contribute at tan High-density cylinder Low-density core 8 d 1 cm 2 d 0.3 d 30 cm 1 L Isotropic at both long and short h t distances di t Polar Anisotrop py in Air (30 cm) 1.00 0.75 0.50 Po olar K air prrofile (30 cm in air) 1.25 Model 6702 I-125 0 25 0.25 Model 6711 I-125 Model 200 Pd-103 0.00 0 10 20 30 4 40 50 60 Polar ang gle (degrees) 70 80 90 ‘WAFAC:’ Wide Anglle Free-Air Chamber 250 mm diameter 153mm Long Collecting volume 300mm 150m mm 100mm 80mm Source 0.08 mm Al filter Rotating R t ti S Seed d Holder V 1 mm thick t tungsten co ollimator V/2 0 (Guard Ring) I WAFAC Simulation Method 11 2 ( E153 E ) d ab ab k inv S K in k att air (V1553 V11 ) x where Eab Energy absorbed/disinteegration in WAFAC volume of length x d 38 cm seed-to-WAFAC C volume center ( SK )extr 1.025 Pd-103 p point source k att for a 1.013 I-125 2 k inv K d WFC k inv i inversesquare correction ( ) dA A (d) A 1.0089 1 0089 Pd-103 Dose-R Rate Constants xxD,N99S Source Investigatorr TLD Point Monroe 2002 ___ 0.683 0.683 --0 684 0.684 0.797 0.691 Model 200 (light) Model 200 ((heavy) y) Monroe 2002 Nath 2000 Monroe 2002 ICWG 1989 ----0.65 0.744 0.694 NAS MED 3633 Li Wallace 1998 0.693 0.68 0.677 --- MC MC Extrap. WAFAC TLD uncertainties: D wat (r) / SK for Model 6711 125I in PMMA 1 cm distance 5 cm distance Component % x i Type % x Type i TLD reading statistics 1.3% A 2.2% A TLD calibration (including Linac calibration) 1.8% A+B 1.8% A+B f rel (Q 0 Q exp ,r) and pphant (Gexp Gref ,r) 0.7% B 1% B Seed/TLD positioning (d = 100 m) 1.2% B 0.2% B krel bq (Q 0 Q exp ) 5% B 5% B NIST SK + one local transfer 1% B 1% B Combined std. uncertainty (k = 1) 5.7% 5.9% Monte Carlo uncertainties: Model M 6711 seed in liquid water Distance 1 cm 5 cm 10 cm Statistics 0.2% 0.3% 0.7% Photon cross-sections 0.7% 2.4% 4.1% Seed geometry 1.1% 0.9% 0.8% Source energy spectrum 0 2% 0.2% 0 3% 0.3% 0 5% 0.5% Combined std. uncertainty (k =1) 1.3% 2.6% 4.3% Adapted from Dolan et al. Med Phys 2006 Monte Carlo-based Treatment T planning Consolidating Dosimetry and d treatment planning into a single prrocess • Permanent seed APBI: 70 1255I seeds, seeds D90 = 115 Gy • 0.7 mm voxels, average SD = 1.2%, single-processor CPU time = 30 min Monte Carrlo vs TLD • Measurement Pros and Cons – Large uncertainties and man ny artifacts – Tests conjunction of all a priiori assumptions: geometry, detector response correction ns, calibration etc • Monte Carlo Pros and Cons s – Artifact-free, low uncertainty y, and unlimited spatial resolution – Garbage in-Garbage out » Seed geometry errors » Will not anticipate contaminan nt radionuclides etc etc., SK errors – Does not model detector signal formation process • Hence: TG-43 TG 43 continues to o require both measured and Monte Carlo single-see ed dose distributions Dosimetry: Conclusions C • Low energy brachytherapy: main catalyst for improving dosimetry y and source standa ardization for 30 years y – Single-source dose distributio ons have 5% uncertainty – Both MC and measurement ha ave important roles • Current Role – Monte Carlo: primary source of o dosimetric data » Soon: MC dosimetry and planning p will be a single process – Measurement: Confirm Monte e Carlo assumptions • Major needs: more accurate e and efficient dosedose measurement systems for lo ow energy sources – Test batch-to-batch and/or sou urce-to-source variations during man fact ring process manufacturing