Brachytherapy Physics II Yoichi Watanabe, Ph.D. Office: Masonic Memorial Building M10-M Telephone: (612)626-6708 E-mail: watan016@umn.edu Spring Semester Outline 1. 2. 3. 4. 5. 6. 7. Radioactive Sources Dose Calculation Implant dosimetry systems LDR Interstitial and Intracavitary HDR/PDR New Techniques QA and radiation safety Implant dosimetry systems Manchester (or Paterson-Parker) system (1934-1938) Quimby system (1935-1941) Memorial system, nomogram (1960-2000) Paris system (1960s) Computer aided system (1970s?-) Plan evaluation tool – DVH etc. Ref: Brachytherapy Physics, AAPM Summer School 1994 and 2005 Common assumptions for Manchester and Quimby systems Both systems were originally developed for Radium sources, which were unfiltered line or point sources. There are tables for 0.5 mm and 1.0 mm Platinum filtered sources. Oblique filtration was not taken into account. Photon scattering and attenuation in tissue were ignored. Should be used for radioactive sources emitting photons of energy greater than 200 keV. Manchester System (Patterson-Parker) An implant planning system designed to deliver uniform dose within ±10% to a plane or volume. Crossing needles are used. The system gives the total activity in mgRa-equivalent*hr required to deliver 1000 R at the prescription point. Planar implant: the uniform dose is achieved in parallel planes at 0.5 cm from the implant plane and within the area projection of the peripheral needles on that plane. The stated dose is 10% higher than the minimum dose. Volume implant: Needles (or sources) are implanted to cover a volume. The prescribed dose is 10% higher than the minimum dose within the implanted volume. Manchester: Planar Implant Table Johns and Cunningham, Physics of Radiology 4th ed. (1983) Table 13-4. Example: Single plane implant - Manchester • 4 cm • • • 3 cm • a b c d e • • Source plane The activities of a and e are 3 mgRa-eq. The activities of b, c and d are 1 mgRa-eq. The area of implant, A = 3 x 4 = 12 cm2. No crossing source at both ends. Hence, the area of implant must be reduced by 20 %. A = 12x0.8 = 9.6 cm2. To give 1000 cGy at 0.5 cm from the source plane, the total mgRa*hour = 244 mgRa*h. Total loading time is 244/9 = 27.1 hours. The exposure rate is 1000 /27.1 = 36.9 R/h. Rule of Patterson-Parker system: Treatment area 0.5 cm Area Peripheral < 25 cm2 2/3 25 to 100 cm2 1/2 > 100 cm2 1/3 Patterson-Parker: Volume Implant Table mg·hr to give 10Gy to volume implant: Ra-eq for 0.5-mm Pt filtration Volume [cm3] mg hr Distribution Rules 5 106 Volume should be considered as a surface with 75% activity and core with 25% 10 168 15 220 20 267 30 350 Belt: 50% activity with minimum 8 needles 40 425 Ends: 12.5% of activity on each end 50 493 Core: 25% with minimum of 4 needles 60 556 For each uncrossed end, reduce volume by 7.5% 80 673 100 782 140 979 180 1156 220 1322 260 1479 300 1627 340 1768 380 1902 Rules for cylinders Length/Diameter = 1.5 2.0 2.5 3.0 Increase mg hr = 3% 6% 10% 15% Johns and Cunningham, Table 13.8 in page 477 Example: Volume implant - Manchester A dose of 7000 cGy is planned from a permanent implant of Au-198 seeds to a roughly spherical volume of 4 cm in diameter. What total source activity of Au-198 will be needed? 1.8 cm 1.2 cm 2 cm The volume of implant V=4/3π23=33.5 cm3. From the table, the total activity A = 376.3 mgRaeq*hr for 1000 cGy dose. For 7000 cGy, the activity should be 376.3x7000/1000=2634 mgRa-eq*hr. The half-life of Au-198 is 2.7 days. The exposure rate constant of Au-198 is 2.35 Rcm2mCi-1h-1. The total activity in mCi*hr= 8.25/2.35*2634=9247 mCi*hr. The total activity needed is 9247/(1.44*2.7*24)=99.1 mCi. 74.3 mCi is placed at 1.8 cm (rind) from the center of the volume. The rest (24.8 mCi) is at 1.2 cm (core). Quimby System The system assumes a uniform distribution of sources of equal linear activity. This implant leads to a non-uniform dose distribution. The Quimby tables give the mgRa-equivalent*hr to produce 1000 R (or 1000 cGy). Planar implant: The stated dose is given in the center of the treatment plane up to 3 cm from the plane. The stated dose is the maximum dose in the plane of treatment. Volume implant: the stated dose is the minimum in the implanted volume. Quimby-like Implant Ir-192 seeds with equal activity were implanted on a plane. The figure shows the dose distribution calculated by computer. Quimby Volume Implant Table Anderson,LL, AAPM Summer School 1994, page 311 Example: Volume implant - Quimby A dose of 7000 cGy is planned from a permanent implant of Au-198 seeds to a roughly spherical volume of 4 cm in diameter. What total source activity of Au-198 will be needed? 1.8 cm 1.2 cm 2 cm The volume of implant V=4/3π23=33.5 cm3. From the table, the total activity A = 607 mgRa-eq*hr for 1000 cGy dose. The Quimby table is for the minimum dose. Since 7000 cGy is 10% larger than the minimum dose for the Manchester system, the prescription dose for Quimby is 7000x0.9=6300 cGy. For 6300 cGy, the activity should be 607x6300/1000=3824 mgRa-eq*hr. The half-life of Au-198 is 2.7 days. The exposure rate constant of Au-198 is 2.35 R cm2 mCi-1 h-1. The total activity in mCi*hr= 8.25/2.35*3824=13425 mCi*hr. The total activity needed is 13425/(1.44*2.7*24)=143.9 mCi. (45% more activity than the Manchester system.) Memorial System An extension of Quimby system (uniform loading). The dose distributions around lattices of point sources of uniform strength spaced 1-cm apart. Planar implant: the prescription is given at the minimum peripheral dose and reference maximum dose points in the plane 0.5 cm from the source plane. Volume implant: additional points, “central line peripheral dose points”, are chosen. The Memorial system is available as a form of Nomogram for specific implants, I-125/Pd-103 permanent and Ir-192 LDR temporary implants. Dimension Averaging Technique The average dimension (the average of three lengths) is the “size”: <d> =(a+b+c)/3. For permanent implants (I-125 or Pd-103), the total source strength, A, may be proportional to the average dimension of the target. The technique leads to a lower dose to larger target volume. (The larger target means more normal tissue volume irradiated. Hence, the dose to target should be smaller.) In early 1990s, the formula was modified so that the total source strength is a power function of AD. A= K d s Note: K=5, s=1 for I-125 implants Matched Peripheral Dose (MPD) The volume of ellipsoid, V, is by measuring three orthogonal dimensions a, b, and c of the target. (i.e., V=π/6·a·b·c) For an implant, the dose-volume relationship is obtained. On can use the calculated dose distributions to compute the volume of each isodose level by measuring the three dimensions of isodose surface or by computing DVH. The matched peripheral dose (MPD) is the isodose surface, which encloses the same volume as the measured target volume, V. MPD is not the prescribed dose.. MPD is an alternative concept to evaluate the coverage of the target volume for brachytherapy. MPD (cont) 120 %volume 100 V 80 60 40 20 MPD 0 0 50 100 150 Dose [Gy] 200 250 Nomogram Nomograms are constructed for quick estimation of the number of seeds and the spacing between seeds for planar and volume implants. The system takes into account the elongation factor for the implant shape (cylinder and spheroid). There are nomograms for Ir-192 (temporary LDR), I-125, and Pd-103 (permanent). Nomogram: two-plane implant Temporary Ir-192 implant. Active length = 10 cm. Width = 8 cm. Treatment plane is 0.5 cm from the source plane The peripheral dose rate (at reference point on the treatment plane) is 10 Gy/day The seed strength must be 0.5 mgRa-eq. The number of Ir-192 ribbons is six. Nomogram: I-125 interstitial implant Nomograms are used for permanent prostate implants using both I-125 and Pd-103. 3x3x1.5cm cylinder target. Elongation factor=2 0.4 mCi/seed and 2.5 cm average dimension. 0.7 cm spacing between seeds. 32 seeds, 12.8 mCi Ref: L.L.Anderson, Med Phys 3:48 (1976) Paris System Intended for temporary implants of long line sources such as Ir-192 wires. Assumes a uniform linear activity and an implant in parallel lines. The dose is specified on “reference isodose” surface, i.e., 85% of the basal dose. The basal dose is defined as the average of the minimum dose between sources. There is no table for Paris system, but dose calculation formulas are available. Ref: Piergquin, B and G.Marinello, A practical manual of Brachytherapy, Medical Phys Pub., (1997). Paris System: single plane Treated volume = 1.2x0.5x2 cm3. The length of line source = 2.8 cm (=1.4 x 2 cm). Source spacing = 2 x 0.5 = 1 cm. Lateral margin = 0.37 x 1 = 0.37 cm. Basal dose is the dose at “X”. The “reference dose rate” is 85% of the basal dose rate. To obtain the 60 cGy/h dose rate on the reference dose surface or over the target volume, a source of 5.25 U/cm (or 1.25 mCi/cm) is required. x Brachytherapy Physics 2005, pp.351-372, AAPM Computer aided systems Brachytherapy treatment planning software Varian BrachyVision Varian VariSeed (for prostate implant) Philips Medical Systems Pinnacle CMS Interplant (for prostate implant) Nucletron PLATO Brachytherapy/Oncentra Prowess Panther 3D Brachy Pro Rosses Medical Systems Strata Suite Brachytherapy Treatment Planning 1) 2) 3) 4) 5) Simulation – takes films or CT images. Define spatial coordinates of potential source locations. Specify points-of-interest. Determine the source locations and their source strength to meet the treatment prescription. Prepare treatment report for loading. Source Localization Two films (orthogonal, arbitrary angle, stereo-shift) Three films Ultrasound CT (kVp) MVCT No-film Two film localization technique Orthogonal films Simple and accurate. Sensitive to the patient movement. May misidentify source locations (2 circles in fig.) Orthogonal Films: Interstitial Orthogonal Film Localization: Interacavitary Two film localization technique Stereoshift method Move the source by distance s. Easy to identify sources. The accuracy is lower than the orthogonal method. Two-films: arbitrary angle S2 S1 A target point (T) at R1 for source S1 I z’ T R1 θ1 R1 = S1T + OS1 = t ⋅ S1 P1 + OS1 = t (OP1 − OS1 ) + OS1 z x’ O − I sin θ1 OS1 = 0 I cos θ 1 x f Ref: Brachytherapy 1994 page 249 x1 x1′ cos θ1 + F sin θ1 − I sin θ1 + 0 R1 = y1 = t y1′ z1 x1′ sin θ1 − F cos θ1 I cos θ1 O’ F=I+ f cos θ1 0 − sin θ1 x1′ 1 0 y1′ OP1 = 0 sin θ 0 cos θ − f 1 1 P1(x’1,y’1) For the source S2, the coordinate of T is R2. x2 x2′ cos θ 2 + F sin θ 2 − I sin θ 2 + 0 R2 = y2 = u y2′ z x′ sin θ − F cos θ I cos θ 2 2 2 2 2 Since R1=R2, solve the (3) equations for t and u. Then, obtain (x,y,z) of T. CT Source Localization Reconstruction of CT data Treatment planning software Eclipse-BrachyVision Localization can be done with both two orthogonal films or CT images. The dosimetry data format complies TG-43 formalism. Both LDR and HDR planning can be performed. For HDR, dwell time optimization can be done with geometric and volume optimization methods to conform the target volume and minimize the dose to normal organs. Plan Evaluation Dose volume histogram (DVH) Differential dose volume histogram (DDVH) Natural dose volume histogram (NDVH) Coverage quantifier – V100 or D100 Homogeneity index Conformity index Tumor control probability Dose Volume Histogram Prostate Volume V ( D) y = 100 V ( 0) Rectum Urethra Dose [Gy] W.S.Bice, Brachytherapy Physics, pp.604-640 (2005) Differential Dose Volume Histogram dV ( D) dD Entire calculation volume Prostate Natural Dose Volume Histogram The dose (x-axis) is scaled for NDVH so that the low dose volume is less emphasized than the standard differential dose volume histogram. For an ideal point source, NDVH is a flat line as function of dose. The peak should appear at near the prescription dose for good implant. Calculation volume %Volume Prostate Dose Matched Contiguous Dose (MCD) The minimum dose that encloses all sources in an implant. MCD can be estimated by plotting isodose surfaces for various dose levels. The isodose surface just covers all sources indicates MCD. MCD should cover the treatment target. Uniformity Indices Uniformity qualifier, Q2 (J.M.Paul, 1986): The ratio of the average dose over the treatment volume to the prescribed dose. Dose homogeneity index, DHI (A.Wu, 1988): The fraction of the treatment volume that receives a dose between the prescribed dose and a dose 1.5 times the prescribed dose. Dose-nonuniformity ratio, DNR (C.B.Saw, 1991): The ratio of the high-dose volume to the reference-dose volume. The high-dose volume is that irradiated to a minimum dose higher than the reference dose by a specified factor (i.e., 1.5). The reference-dose volume is the volume covered by the prescription isodose surface. Uniformity index: formulas Dt Q2 = D0 V100 V150 Target, Vt (V 100 − V 150) ∩ Vt DHI = Vt V ( D ≥ 150) DNR = V 100 Coverage (Conformity) Indices Conformity qualifier, Q1 (J.M.Paul, 1986), or Coverage index: The ratio of the treatment volume to the (idealized) target volume. Conformity index, CI: The ratio of the target volume covered by the prescription dose to the volume covered by the prescription dose. V(100): The percentage volume of the target volume covered by the prescription isodose surface. Conformity index: formulas V 100 Q1 = Vt V100 Target, Vt V (100) = V 100 ∩ Vt V (100) CI = V 100 Outline 1. 2. 3. 4. 5. 6. 7. Radioactive Sources Dose Calculation Implant dosimetry systems LDR Interstitial and Intracavitary HDR/PDR New Techniques QA and radiation safety Interstitial Implants Temporary or permanent Cs-137 needle, Ir-192, I-125, and Pd-103 Templates Treatment sites: Brain, eye Head and neck: nasopharynx, base-oftongue, floor of mouth, etc. Sarcoma: thigh, extremities (legs or arms) Breast Prostate or Cervix Catheter implant technique a) A hollow steel needle is inserted through the target. b) The thin header end of a nylon catheter is threaded through the needle. The catheter is then pulled through the target together with the steel needle. c) Both ends of the catheter is sealed with buttons and fixed to the treatment site. d) Source ribbons (Ir-192) are afterloaded by inserting the ribbons through the catheters. Interstitial implant: head&neck Head and neck cancers comprise about 2% of all cancer incidences in USA. Approximately 30,000 new cases per year. Head and neck cancers are treated using brachytherapy, either alone or in combination with EBRT. Treatments sites include oral cavity (base of tongue, oral tongue, floor of month, lip, buccal mucosa), orophanrynx, nasopharynx, nose (nasal vestibule). Head and neck anatomy Non-looping technique for base of tongue implant Permanent prostate implant A radiation therapy option for treatment of prostate cancer in Stage I-III. Prostate implants were performed using retropubic technique in 1970 and 80’s. An introduction of transperineal technique lead to an explosion of the implant practices. The procedure gained wide acceptance in mid 1990s. I-125 or Pd-103 seeds are implanted permanently in the prostate grand. Dose is 100 Gy to 150 Gy to the periphery of the treatment volume. Prostate cancer mortality rate 30 death/100,000 male per year. 30x130,000,000/100,000=39,000 per year. Prostate cancer clinical staging Biochemical progression free survival Prostate implant outcome Intermediate risk patients: ≥T2b or PSA > 10, or Gleason score ≥ 7. Treatment-related morbidity or Quality-of-life outcome (QOL) Urinary morbidity: Approximately 12 months is required for the mean International Prostate Score (IPSS) to return to the pre-implant baseline. Dose of 100% to 140% of the minimum prescribed dose (mPD) is well tolerated. Rectal morbidity: 4 – 10% incident of mild proctitis. The volume of rectum exposes high dose affects the morbidity. Erectile dysfunction (ED): 6-90% of patients experience ED. Prostate anatomy Prostate implant techniques A. B. C. D. Imaging tools – CT, Transrectal Ultrasound (TRUS), X-ray fluoroscopy Treatment planning – nomogram, computer optimization of seed locations Source loading – Mick applicator, needles, and robotic. Pre-implant planning vs. real time planning&implant Prostate implant equipment Transperineal implant Image guided real time prostate implant procedure 1) 2) 3) 4) 5) 6) 7) Pretreatment transrectal ultrasound (TRUS) is taken to determine the volume of the prostate. The seeds are ordered for the implant. On the date of implant, the patient are anesthetized on a treatment table. TRUS images are taken and imported into a treatment planning software. Treatment planning is performed to determine the seed loading pattern. The locations are optimized to achieve the best target coverage and to minimize the dose to urethra and the rectum. Seeds are loaded into the prostate under US guidance according to the plan. After the implant, CT is taken for post-implant evaluation. Typical dose distribution prostate implant Selection of Isotope Radiobiologically, Pd-103 is favorable over I-125 for faster growing, more aggressive tumors because of its shorter half-life. Clinical results including a clinical trial suggest slight advantage of Pd-103 over I125. The effect of post-implant edema of prostate is more pronounced with Pd-103 than I-125. Source strength of prostate implant The cost of seeds is proportional to the number of seeds used for an implant. => higher strength of seeds is economically favorable. The dose is scaled with the total source strength (not the source strength of individual seed.) The implant with high strength seeds were more robust and produced higher values of postoperative dosimetry parameters than the low strength implants when D80 and V100, V150, V200 are compared. (V.S.Narayana et al, IJOBP 61:44-41,2005). Typical source strength: I-125 (0.4-1U), Pd-103 (1.4-3.5U) Selection of seed model TG43 update (2004) Prescription dose Primary Boost I-125 145 Gy 115 Gy Pd-130 135 Gy 105 Gy Typical source strength: I-125 (0.4-1U), Pd-103 (1.4-3.5U) Plan evaluation parameters Planning volume coverage => V100. Urethral dose => urethral V125 and V150. Urethral dose => mean dose to urethra. Homogeneity => V150. High dose volume => V200. Number of needles => minimize. Number of seeds => minimize. Post-implant evaluation Postoperative post-implant dosimetry ensures that the dose is delivered as it is planned. 1) The patient comes back for a CT scan (two weeks) after the implant. 2) Target contours are drawn on the CT images. 3) By digitizing the seeds visible on the CT images and using the source strength used for the implant, dose calculations are performed. Gynecological interstitial implants Syed-Neblett template Intracavitary Implant An applicator or mold made of tissue-like material is placed in a cavity around which tumor is expected. Radioactive source(s) is placed inside the applicator for temporary irradiation. Treatment sites: Brain Head and neck - nasopharynx Cervix/vagina Breast – MammoSite Gynecological malignancies Cancer of cervix Louis Wickham (Paris) treated cervical cancer with radium as early as 1906 and reported results for 1000 patients by 1913. Intracavitary brachytherapy with MV external beam therapy is a standard treatment. Five-year disease free survival: 70%-90% for FIGO stages I&II, 25% to 48% for stage III, and 5% to 34% for stage IV. In the 1970s, Cs-137 was widely adopted as a radium substitute. Uterine Cervix Anatomy Fundus Uterine cavity Endometrium Uterus Corpus Myometrium Cervix External cervical os Fornices Vagina Applicators for Cervix Implants Fletcher-Suit Delclos Henschke Variations of those Radium milligram-hour approach Stockholm system: three fractions over one month, 20-30 hours/fraction. 30 mg to 60 mg (in linear tube) in uterus, 60 mg to 80 mg (in shielded silver or lead boxes) in vagina. Total mg*h was 6500 to 7100. Paris system: equal amount in uterus and in vagina. One single application of 7200 to 8000 mg*h. The intrauterine tube contained 3 sources (1:1:0.5). The intravaginal cylinders (colpostats) contained one source each of the same source strength. Manchester System - Cervix 8000 R to point A in two sessions of about 72 hours each with a 4-to-7 day interval between. (a dose rate of 55 R/h). Point A : 2 cm lateral to the uterine canal and 2 cm from the mucous membrane of the superior fornix of the vagina in the plane of the uterus. Point B : 5 cm from the midline and 2 cm up from the mucus membrane of the lateral fornix. It represents the dose to the vicinity of pelvic wall near the obturator nodes and a good measure of the lateral spread of the effective dose. Dose Specification of Cervix Implant Manchester Original point A and B U3 U2 U1 Modified point A and B Manchester: Dose Rate For U1=10 mg, U2=10 mg, U3=15 mg, and two 20 mg medium ovoids with spacer => Point A dose rate=35+19=54cGy/h. Source loading Point A [cGy/h] Point B [cGy/h] 1) U1=10 mg, U2=10 mg, U3=15 mg 35 8.0 2) U1=15 mg, U2=10 mg 35 7.0 3) Large ovoids with spacer: 2x22.5 mg 19 9.0 4) Medium ovoids with spacer: 2x20 mg 19 8.2 5) Small ovoids with space: 2x17.5 mg 19 7.4 6) Special loading: U1=20 mg 28 5.7 Johns and Cunningham Table 13-10 ICRU System International Committee on Radiation Units and Measurement (ICRU) published Report No. 38 “Dose and Volume Specification for Reporting Intracavitary Therapy in Gynecology” in 1985. The report recommends a system of dose specification that relates the dose distribution to the target volume. Data for reporting (ICRU) Description of techniques Total reference air-kerma Description of reference volume Dose level if not 60 Gy Dimension of reference volume Absorbed dose at reference points Bladder, rectal, Lymphatic, and pelvic wall Time-dose pattern ICRU System: reference volume ICRU bladder and rectum points Inf Sup ICRU system – Reference points Paraaortic and iliac nodes ICRU system – Reference points pelvic wall On the AP film, the pelvic walls are located at the intersection of a horizontal tangent to superior aspect of the acetabulum and a vertical line touching the medical aspect of acetabulum. On the lateral film, the points are marked as the highest middistance points of the right and left acetabulum. RPW LPW Reference Points: example Dose distribution of Cervix implant Intraluminal brachytherapy Radioactive sources are inserted in the lumen of a vessel such as the blood vessel, bronchus, esophagus, or bile duct. Surface molds and plaques Radioactive sources are placed in customdesigned molds or plaques, which are then placed on the surface of the target tissue. Eye plaque 90Sr eye applicator Pterygium is a raised wedgeshaped growth of the conjunctiva. It is surgically removed. Post-operative radiation therapy is delivered with a Sr90 applicator. The dose is prescribed to the surface; i.e., 10Gy x 6 weeks or 25Gy. The dose rate is 100 to 300 cGy/s. 90 38 β − ( 0.5 MeV ) β − ( 2.27 MeV ) 90 Sr (28.9 y ) Zr → Y (64h) →36 90 37 Episcleral Eye Plaque Intraocular malignancies – melanoma, retinoblastoma Benign disease – macula degeneration Episcleral Eye Plaque (COMS) Collaborative Ocular Melanoma Study (COMS) Group set guidelines. Patients with medium size tumors between 2.5 and 10 mm in apical height and 16 mm or less in basal diameter are randomized between enucleation and I-125 eye plaque treatment. 85Gy delivered in 5 to 12 consecutive days (dose rate = 0.5 to 1.25Gy/h) to 5mm from tumor base center for height smaller than 5 mm; otherwise, tumor apex. Eye Plaque Dosimetry I-125 (6711) Dashed line =Dose w/o plaque Solid line = dose w/ Eye plaque Brachytherapy Physics 2005, pp673-705 (AAPM)