Current A Approach in n Clinical Electron Beam Dosimetry Clinical Dimitris Mih hailidis, Ph.D. Ph.D. Charleston Radiation n Therapy py Consultants THANK K YOU PROGRAM DIRECTORS D David W.O. Rogers, R Ph.D. Joanna Cyg yg gler,, Ph.D. g AAPM & SS S SubCom Local Arrangeme ents Committee Ms. Betsy Phelps Phelpsh l -Medi dicall Physics h Publishing bl h Participants OUTL LINE Objectives Current calibration protocols E-beam quality specification n Measurement of CA %DDs in water: water: – ion i chambers, h b di diodes, d fil film – practical rules Output p factors Non Non--water phantoms: Relattive measurements – ion chambers, %DDs, film Smallll and S d iirregular l fifield ld d dossimetry i t Extended treatment distanc ces Electron algorithms Some data and examples Objec ctives Address the issues that currently influence the dosimetry of clinical elec ctron beams due to changes recently introdu uced by the new dosimetry calibration pro otocol (TG (TG--51). Suggest how to approprriately modify and update the widely accepted TGTG-25 electron dosimetry protocol. Describe a detail proced dure of converting measured depthdepth-ionizatiion curves with ion chambers into depth depth--dosse curves making use of recently published stopp ping--power ratios and ping other conversion factors s. Present the important po oints of the upcoming AAPM TGTG-70. (Gerbi et al. Med. M Phys. July 2009, issue!) Objec ctives Describe the use of wate er equivalent phantoms to perform relative electrron dosimetry based on recently published conve ersions factors. Discuss small and irregu ularly shaped electron field dosimetry using the e concept of lateral buildup ratio (LBR) as an n avenue to evaluate electronic equilibrium an nd compute dose per MU for those fields fields. Give some common clin nical examples where electron beam dosimetry y is applied. Important rep ports to have TG TG--25 (Clinical electron beeam dosimetry). TG TG--51 (protocol for clinical dosimetry for high high-energy photon and d electron beams). TG TG--69 (Radiographic Filmss for MV Beam Dosimetry). TG TG--39 (The calibration andd use of planeplane-parallel ionization ioni ation chambe chamberrs s fo for dosimetry dosimet of electron beams) . TG TG--53 (Quality assurance for clinical radiotherapy treatment planning g). TG TG--106 (Accelerator beam m data commissioning and procedures. TG--70 (just published) TG Current calibra ation protocols ation Current calibra ation protocols TG TG--51 of AAPM (19 999). 999) TRS TRS--398 of IAEA (2003). “Absorbed “Ab b d Dose D determin d ination i iin E Externall B Beam Radiotherapy: An Interna ational Code of Practice based on Standards of Ab bsorbed Dose to Water” Code of practice off IPEM (2006). “Code of practice for elec ctron dosimetry of radiotherapy beams with h initial energy from 2 to 50 MeV based on air air--kerma calibration calibration” ” Main objectivves of TGTG-51 Defines Dose at one poiint, dref. Proposes to do two thin ngs: 1. Incorporate the new abs sorbed dose standard – Absorbed dose is more robust than the AirAir-Kerma Std. Q N D ,w 60 Co k q N D ,w – Dose to water is closer to the dose to tissue 2. Simplify the calibration formalism f (as much as possible) Makes use of realistic waterw water -to to--air restricted w SPRs SPRs. L air Because of TGTG-51 1 (and other recent dosimetry data), do o we need to modify TG--25 ? TG YES! TGTG-70 was charged! E-Beam Qualitty ty Specification Electron Beam Qu uality Specification New beam quality specifie er*:: R50 (depth in water er* at which dose falls to 50% of maximum for large field size (>10x10 cm2) (TG (TG--51). First find I50 (50% of ionization maximum). R50 1.029I 50 0.06 cm m for 2 I 50 10 cm or R50 1.059I 50 0.37 c for cm I 50 10 cm *(TG--25, be *(TG eam quality specifier: (Ep)0) Energy at a depth Harder’s Eq. still valid! v (Harder 1968) Mean energy at depth: E d d ( MeV ) E 0 1 R p M Mean energy att surface f off phantom h t : (IPEM 2003) 2 E0 0.656 2.059 R50 0.022 R50 ( MeV ) or 2 E 0 0 .818 1 .9355 I 50 0 .040 I 50 ( MeV ) Practical range: (Rogers 1996) R p 1.271R50 0.23(cm) Energy at a depth Harder’s Eq. q still valid! v ((Harder 1968)) Mean Ed ? energ gy at depth: d ( MeV ) E 0 1 R p ? Energy at surface and a practical range Mean energy at surface e of phantom : (IPEM 2003) 2 E0 0.656 2.059 R50 0.022 R50 ( MeV ) or 2 E 0 0 .818 1 .935 I 50 0 .040 I 50 ( MeV ) Practical range: (Ro ogers 1996) R p 1.271R50 0.23(cm) Comm ment Harder’s Eq.. still valid! Mean energy at depth: E d U off ((as off TGUse TG-25): 25) d ( MeV ) E 0 1 R p E0 2.33 R50 ( MeV ) or E0 2.40 R50 ( MeV ) Produce values within n 0.4 MeV of previous relationships Measurements Measureme nts of %DDs Phantoms an nd detectors WATER for relative measurements m (%DDs, OFs, etc) such as large data collection.. collection Plastic ast c ( (non (nono -Water ater) ) for o limited ted relative e at e measurements of clin nical setups (%DDs, OF,, etc). O ) Detectors (cylindrical, pp-p, diodes, film) Cylindrical cha ambers ambers in water % de epth ioniz zation orr dose Step 1: 1: Shift chamber deeper by 00.5r 0.5 5rcav 5r Step 2: 2: Correct reeading for Piion, Ppoll M ( d ) M raw( d ) Pion ( d ) Ppol ( d ) . • Apply TGTG-51 requirem ments for Pion and Ppol (For %DD: measure att I50 and Rp depths) M (d ) % di ( d ) 1000 M ( I max ) Step p 3: 3: Use realisttic SPRs water/air From Burns 1996 (in water) w a bln n R50 cln R50 d z R50 L R50 , z 2 3 1 eln R50 f ln R50 g ln R50 h z R50 air w 2 Where: a = 1.0752 e = - 0.42806 b = - 0.50867 f = 0.064627 c = 0.088670 g = 0.003085 d = - 0.08402 h = - 0.12460 These coefficients give an rms s deviation of 0.4% and a max. de iation of 1 deviation 1.0% 0% for z/R /R50 betw between een 0 0.02 02 and 1 1.1. 1 The max. ma de deviation iation increases to 1.7% if z/R50 value es up to 1.2 are considered. . Step 4: 4: a) Com mputation of %DD b) Corre ect for Pfl and Pwall w %ddw (d ) %idw (d ) L ( R50 , d ) Pfl ( Ed ) Pwall (d ) air a w L ( R50 , dmax ) Pfl ( Edmax ) Pwall (dmax) air Errors associa ated with SPRs Fitted SPRs vs. vs individually calculated Error: % of Max dose= %error % off th the fitted fitt d SPRs vs. individually calculated values. R Rogers, 2004 Rogers g has shown that the %DD can be determined to within 1% of the dose at dmax. (Rogers 2004) Reminder:: For Reminder F electrons Prepl Pgr Pfl Pgr: addressed with chamber shift f Pfl: Use Table V in TG T -25 TG- Pfl from m TGTG-25 Inner diameter (mm) Ed . ((MeV)) 3 5 6 7 2 0.977 0.962 0.956 0.949 3 0.978 0.966 0.959 0.952 5 0 982 0.982 09 1 0.971 0 96 0.965 0 960 0.960 7 0.986 0.977 0.972 0.967 10 0.990 0.985 0.981 0.978 15 0.995 0.992 0.991 0.990 20 0.997 0.996 0.995 0.995 *where Ed E0 1 1 d / Rp Pwall w ll Pwall=1: 1 for f electron l t beams b and d llowlow-Z thinthin thi -walled ll d chambers (Johansson 1978) Pwall: Recent data (Buckley&Roggers 2006) show change up to 2 2.5% 5% at 0 0.5 5 cm cm--R50 for 6 Me eV. eV Recommendation: make Recommendation: e sure your chamber introduces less than 2% % error at depths by comparing its response to published data. p-p chamb chambers ers in water Use of pp-p cham mbers for %DD • In general, front of window is point of measurement Front window thickness ((1 (1--2mm)) should be taken into account. Pggr=0 for all p p--p chamberrs. Pfl=1 for most chambers except Markus and Capintec PS--033 (use TG PS TG--39 9 for correction factors). Pwall corrections are conssidered negligible in most cases. Pwall: Recent data (Buckley&Rogers 2006) 2 have shown strong depth dependence for NACP-02, Roos, Markus and Capintec PSPS-033. Buckley&Rogers s: ps: p-p chambers Recommendation: Recommendation: C Compare your chamber’s h b ’ response with data from lit t literature tto be b <2% 2% Know your chamber! diodes in water Use of diod des for %DD Diodes specifically p y desig g gned for electron beams. The effective p point of me easurement is the dye y (get specs from manufacturer). Validate %DDs measure ed with diodes against curves measured with w chambers (TG (TG--25). Have a QC program for diodes before taking large amount of data. Use of diod des for %DD 1) Look at new TGTG-106 (Daas 2008) 2)) Look at this Summer Sc chool’s chapter p QUES STION STION 1.Ridiculous 1 Ridiculous 2.Frightening 3.Horrific 4.Abominable 5.Hungry ABOMINABLE (A A-Bomb-In-A-Bull) A-Bomb-In-A-Bull) Courtesy of J. Gibbons, PhD General Characte eristics of Eeristics E-%DDs definitio ons…. Practical Range Therapeutic Range ICRU 35 (1984) As Energy increases dose (at 0.5 5mm) ↑. dmax ↑ for lower Es and a stops at moderate/high Es. Beam penetration ((d90, d50 and Rp) ↑. Distance between d90-d10 ↑. x-ray contamination n ↑. Surface As beam energ gy increases…. gy Hogstrom (2003) As field size e decreases dose (at 0.5m mm) ↑. dmax and d90 ↓ (shift tto surface) surface). Distance between d90 0-d10 ↑. Rp unchanged. h d Surface As field size decreases…. d 9 MeV Hogstrom (2003) 20 MeV Outputt factors Defin nition D d max ra , ra , SSD treat S e d max ra , ra , SSD D d max r0 , r0 , SSD nom ra: treatment field f att SSD SS treat r0: reference / cal fie eld at SSDnom Non--water phantoms Non Relative measurements Use of non non--wa ater phantoms Water substitutes shou uld mimic water across th whole the h l electron l t enerrgy range – mainly in stopping an nd scattering powers thus, h both b h the h electro l on density d i and d the h effective ff i atomic number should be matched to water in practice for some phantoms, phantoms p this is difficult to achieve (due to the ca arbon in plastics) – offoff-thethe-shelf material can have large g variations in density and a scattering power Must be careful in using these materials SO: USE WATER R WHENEVER POSS SIBLE! Use of nonnon-wa ater phantoms di discussion i of corrections i Depths need to be sc caled. Chamber Ch b readings di ne eed d to t be b multiplied lti li d b by an appropriate fluenc ce--ratio correction. ce Stopping Stopping--power ratio os should be taken at the scaled depth. Charge storage effec cts should be kept in mind using gp polystyre y y ene and PMMA. Correction ns needed Depth correction: d w d med eff w R50 d med med R 50 Corrected dose (Ding (D 1997): D w ( d wmax ) maax D med ( d med d Electron fluence correction factor )L / w coll med w med Depth correc ction factors Material Mass densiityy (g cm-33) Recommended effective density, eff Water* 1.00 1.00 Clear polystyrene* 1.045 0.975 High-impact polystyrene ((white)* ) 1.055 0.99 Electron solid water* 1.04 1.00 Polymethylmethacrylate ( (PMMA)* )* 1.18 1.115 Epoxy resin water substitute, photon formulation** 1.02 0.98 *from TG-25, Table VIII, p. 84. **From IPEM 2003, p. p 2945. Output in non non--water w phantom Se,w (d w med max w ,r) r) Se,medd (d max m md med ,r) r) (d (d max med max med w ,r) med w ,r0 ) med : Use data from Ding D g 1997. 1997. NOTE: Since corrections appe ear as RATIOS might be neglegible. CHECK it! Measurements PDDs iin n nonnon-water Phantoms Ph The SSD and field size are not to be scaled. Chamber must be positio oned with its effective point of measurement att the equivalent equivalent--scaled depth in the non non--water phantom. p Correct w for electron fluen nce med PDDs in nonnon-water w phantoms • Cylindrical chambers % dd w ( d w ) % di med ( d med ) L L w w ( R 50 , d w ) P fl ( E d med ) airr w w w ( R 50 , d max ) P fl ( E d med ) max air • p-p chambers: h b Pfl=1 1 • Film XV XV--2 ((TG(TG-25)) Large energy dependence w med ( d med ) w med med ( d max ) Dosimetry y of small an nd irregula ar fields Dose determination in n small/irregular fields Inherent problems in n dosimetry of small electron fields – depth of dmax become es shallower. shallower – the output factor may y be significantly different than the con ne factor if the field size is small enough for la ateral scatter equilibrium ((LSE). ) – isodose coverage is re educed in all directions as the field shrinks. Square--Ro Square oot Method For rectangular fields off X & Y dimensions: %dd (d , rX ,Y ) [%dd (d , rX , X ) %dd (d , rY ,Y )]1/ 2 S e (d m , rX ,Y ) [ S e (d m , rX , X ) S e (d m , rY ,Y )]1 / 2 (Hogstrom (1981) & Mills (1982)) Approximate irregular shapes shapes with rectangles Hogstrom (2000) Comparison of the percent differrence between measured and calculated output factors for com mmon methods of calculation in the literature. literature The measured and a calculated output factors were for cutout shields that were e shaped as squares, rectangles, circles, ellipses, and arbitrary shapes used in the clinic Calculation method Equivalent square Square root One-dimensional Pencil beam Sector integration (Jursinic 1997) Percent difference (%) 2.7*, 5.9*, 3.0* 3 0*, 2.3 3.0 2 3*, 4.6 4 6*, 3.0 3 0* 3.0*, 2.0*, 2.1* 2.7*,, 2.0* 3.0, 1.5, 1.0* Lateral Buildup Ra atios (LBRs) Model (Khan ett al. 1999) THE WRATH H OF KHAN When is special do osimetry required? When the minimum field dimension is less than the th minimum i i radius di off a circular i l fi field ld that th t produces lateral scatte er equilibrium (LSE) R eq 0 . 88 E p , 0 or a 1 . 58 E p , 0 (Khan&Higgins 1999) where E p , 0 0 . 22 1 . 98 9 R p 0 . 0025 2 Rp Do you remember what it has been? From Lax&Brahme (198 80) we have been using th criterion the it i ffor LSE: LSE E0 R eq 2 .5 wherre E0 E0 or E 0 E p ,0 (also in Khan’s book) Pencil beam… b Broad field field--same surface fluence as pen ncil beam r2 exp 2 r ( z) d p ( r , z ) D (0, z ) r 2 ( z ) Due to multiple p Coulomb Scattering Khan et al. (1998) LBR de efinition LBRs are related to r2 d mean square radial spread d off pencil il beam b (independent (i ( d d t off fi field ld size). DEFINITIION of LBR: D(d , rx ) i (r , E ) LBR (d , r ) D(d , r ) i (r , E ) rx: s small a field d (e.g., ( g , 2 cm c radius) ad us) r∞: broad field (e.g., 20 0x20 cm2) (…): incident fluence (normalize at 0.5 mm depth) (Khan et al. 1998) Measured PDDs norma alized at 0.5 mm depth (surfface) Diode data 1: 2: 3: 4: 2 cm 2.8 cm 3.7 3 7 cm 5.8 cm Khan et al. (1998) Deterrmine 2 r d Take a small circular field rx=2 cm diam. to measure PDDs and ratio tho ose to PDDs from a 20x20 cm2 ,normalized both h at 0.5 mm, to determine LBRs. LBRs r2 (d ) rx2 1 ln LBR r d 1 ( , ) x w with LBR<1 (Khan et al. 1998) Sigma vs. field size size and energy LBRmin Khan et al. (1998) In which applicator to use the rx field? 6 MeV 12 MeV It does NOT matter! 20 MeV 2 cm diam. insert in 10x6, 10x10 and 20x20 cm2 applicators For irregularly shaped s fields… Sector integration summing g the pencil beam contributions. LBR eff ri 2 n (d , r ) 1 ( ) exp[ 2 ] 2 i 1 r (d ) ri x θ O y (Khan&Higgins 1999 1999) Can we predict dmax m for small fields? Circular fields as example, within w ±0.5% of maximum dose. dose rx d max 0.174rx 0.67 E 1p.,67 0 2 0.33 0.06225E p ,0 rx ≤ Req For broad field Req d max 0.67 0.46 E p ,0 rx ≥ Req e Compute output factor: Relative applicator Output Factor S e ( d , r j ) S e LBR eff ( d , r j ) % dd ( d , r ) (Khan&Higgins 1999 1999) Data vs. predictions for f small circular fields dmax (Khan&Higgins 1999) Data vs. predictions for for small circular fields Dose MU (Khan et al. 1998) Treatm ments a at extended distances Electron beam featurres at extended SSDs Differences in PDDs resulting from InvSq. effect are small because electrons do not pene etrate that deep and because the significant increase of pen numbra width with SSD restricts the SSD to 115 cm or less in clinical c practice (Hogstrom 2003). The depth of dmax at extended d SSD is a complex function of field size and beam energy. energy For F small field sizes sizes, the dmax depth changes little. As the fiield size increases (>10x10 cm2), the dmax depth increases s very slowly for electron energies below 12 MeV. MeV For higher h energies the dmax depth energies, increases with increasing SSD D (Das et al. 1995, Cygler et al. 1997). However, this effect is clinically insignificant since higher electron energies have broad dmax ranges. In addition, beam flatness decreases and penum p mbra width increases at extended SSD, an effect more e pronounced at smaller field sizes and lower electron energ gies. (also in Khan’s book) Treatment planning sysstems (without Monte Carlo) differ in their ability to accurately depict the effects of extended SSD and individual institutions should invesstigate the limitations of their planning system ms before use on patients. Use TGTG-25 reccommendations. Beam o output a at extended distances The Effective Effective--SS SD (SSDeff) method How to determine SSDeff For every applicator and d energy plot: Gap: g SSDext SSDnom Io: Rdg d at SSD SS nom I: Rdg at SSDextt SSDeff SSDext: extended SSD ((typically yp y <115 cm)) SSDnom: 100 cm Typically dmax (TG--25 & in Khan’s book) (TG Data from Sie emens Primus 7 MeV CONE INSERT dmax SIZE SIZE [cm] 10x10 2x2 0.9 " 3x3 " 14 MeV S SSDeff CONE INSERT dmax S SSDeff [cm] SIZE SIZE [cm] 0.791 33.1 10x10 2x2 1.2 0.893 58.7 1.2 0.870 46.6 " 3x3 1.6 0.918 66.4 4x4 1.4 0.957 55.4 " 4x4 2.0 0.944 62.5 " 6x6 1.4 1.001 61.5 " 6x6 2.6 0.987 71.5 " 8x8 1.6 0.998 73.6 " 8x8 2.9 0.995 79.1 5cm 5cm 1.5 0.817 57.3 5cm 5cm 2.7 0.922 82.0 10x10 10x10 16 1.6 1 000 1.000 83 9 83.9 10x10 10x10 29 2.9 1 000 1.000 94 2 94.2 15x15 15x15 1.6 0.998 99.4 15x15 15x15 2.9 0.984 103.5 20x20 20x20 1.6 1.001 100.4 20x20 20x20 2.9 0.957 104.6 25x25 25x25 1.6 0.992 106.0 25x25 25x25 2.9 0.957 106.9 [cm] (Mihailidis, et al.) Weak dependence of SSD S eff on applicator size (Varian 2100 Data) Insert size i (cm2) Avera age Beam Energy gy (MeV) ( ) 6 9 12 16 20 4 46.2 61.1 72.5 76.4 76.6 6 62.2 74.7 80.2 81.8 80.6 8 77.6 83.8 83.2 83.6 82.7 10 82.9 85.9 86.8 85.5 83.8 15 90.7 90.9 90.1 90.0 89.7 20 90.0 91.8 91.4 90.9 92.0 25 90.7 91.9 91.0 92.5 93.3 (Roback et al. 1995) Output at exten nded distances S e ( d m , SSDext ) S e ( d m, SS SD nom ) GF with SSSDeff d max GF SSD Deff d max g Monitor Units: MU 2 D prescription Se (d m , SSDext ) (Khan et al. 1998) QUES STION STION 1. Sad 2. Disgusting 3. Noble 4. Horrific 5. Silly NOBLE (No-Bu ull) ull) Courtesy of J. Gibbons, PhD Electron Beam m Algorithms g (Simple discussion) General C Comments What should be done to o commission these algorithms (being consistent with TG53) – know the pitfalls and limiitations of electron algorithms – careful with normalization of dose distributions for electron l t algorithms l ith Restricted field Extended treatment distance Plans involving inhomogeneities Attention to how data should be entered into the program. program Some clinicallyy relevant tests Inhomogeneities o oge e t es in elec e ec ctron ct o treatments t eat e ts – The effects of inhomogen neities on dose distributions – Computer representation n of the effects of dose inhomogeneities Use of bolus Field abutment – ElectronElectron-electron, with sa ame or different energies – ElectronElectron-p photon,, with sta andard or extended distances – Tertiary shielding for field d abutment Library of clinical treatm ment examples Acknowle edgment Members of TGTG-70 group. g Faiz Khan. Dave Rogers. Ken Hogstrom. Hogstrom Bruce Gerbi (Chair of o TG TG--70). Not do one yet Stay where e you are! The Duke Prob blem A small area will be e treated with 16 MeV electrons and a cus stom circular field of 5 5 cm diameter (average), 5.5 verage) at 100 SSD SSD. What are the neces ssary dosimetric parameters to be measured m in order to determine the output of such field? 2.25 cm radius Solu ution Check Ch k for f LSE first. fi t In I pra actice ti cm and d Ep,0=16.2 16 2 MeV M V (from (12.19)). Then, Req=3.5 cm (eq. (12.18)), thus no LSE since a diam=7 cm m will be required. Need N d to t find fi d new dmax tha th t is i shifted hift d towards t d the th surface. Use either film dosimetry d with film placed parallel to electron beam in solid water or planeplaneparallel chamber in solid water w with thin sheets of 1 mm to measure the dmax. An estimate of expected dmax for the 5.5 cm diam. field is: 2.8 cm (from ((12.24)). )) Measure the output factorr of 5.5 cm field at 2.8 cm (new dmax) relative to the reference 10x10 at 3.4 cm, both at 100 SSD. From film or planeplane-paralle el chamber dosimetry find dmax, d90, d80 and at those e depths measure isodose lines with film perpendicular to beam in solid water. S Scan films fil in ini -plane l and d crross ross--plane l to get the h widths id h of 95%, 90%, 80% and 50% isodose lines at the above depths. THANK K YOU! Now, let’s let s go forr a brew or two!