Characterization of Activation Products in a Medical Linear Accelerator using Monte Carlo Modeling Purpose: Recently, an AAPM task group (TG 136) was developed to assess the hazards to therapy staff, physics staff, engineering staff, patients, and patient’s family members presented by induced radioactivity in radiotherapy modalities, and to make recommendations for minimizing such hazards by following the ALARA principle and for the operational health physics aspects of activation. Up to date, very little has been done to assess the hazards of occupational dose from radioactivity of accelerator components and surrounding materials. Measurements have been made, but are limited by the complexity of the radiotherapy equipment, and the low amount of radiation that is produced by the activation. In order to access the hazards of radioactivity in high-energy photon radiotherapy a detailed model of a medical linear accelerator has been developed in the Monte Carlo code MCNPX. The activation of several components and the subsequent radiation from this activation has been modeled. The dose to medical personal will be calculated using VIPman, a highly resolved computational phantom. Method and Materials: A detailed model of the Varian Clinac 2100C was developed in MCNPX (Fig. 1). Previously developed combinatorial geometry input data for the EGS4 code was converted into MCNPX format (1). An 18 MV photon beam was produced by impinging electrons on a tungsten target. The electron beam had a Gaussian spatial spread (x- and y-directions) of 1 mm FWHM. The mean energy of the electron beam was 18.3 MeV with a Gaussian energy spread of 3% FWHM. Mao et al (1997) reported 1.0x1015 (Gy–1) incident electrons per photon dose in isocenter for the same accelerator operating parameters. The jaws were set to a field size of 10 cm x 10 cm. The treatment head consists of five high-z materials: tungsten, copper, iron, lead, and tantalum. The LA150 cross section libraries were used to account for photonuclear interactions inside these materials. The mix-and-match feature in MCNPX was used to address isotopes with unavailable cross-section libraries. The relative neutron yields from photonuclear interactions in the major components were calculated. In addition, several neutron fluence tallies were generated around the accelerator head in order to benchmark our results with previous studies. Fluence values were tallied in spheres with radii of 5 cm at different locations around the accelerator. A subsequent calculation was done in order to map the neutron fluence throughout the entire accelerator geometry. The neutron fluence mapping was done using rmesh flux option in MCNPX. Results: The majority of the neutrons were produced in the primary collimator and jaws as a result of these components high-z composition (W), as seen in Table I. Also, more than 98% of the neutrons were produced in primary components. These results agree with previous studies (1,3). A summary of the neutron fluence tallies and the relative errors associated with the tallies are given in the Table II. These results agree with previous studies which addressed the same problem (1,3). The neutron fluence map superimposed over the geometry of two cross-plane perspectives is given in Fig. 2. Conclusion: The neutron yield in primary accelerator components and neutron fluence map across the entire accelerator geometry were calculated. The origins of photonuclear products inside the accelerator will help determine activation rates. That is, additional studies will estimate reaction rates in accelerator components using flux track length estimator with appropriate tally multipliers. Two activation libraries will be employed: ACTL and JEFF. Once the activation rates are determined subsequent calculations can be performed using detailed anatomical human models to assess the unwanted activation dose to therapy staff, physics staff, engineering staff, patients, and patient’s family members. TABLE I: Relative neutron yield in different components. Mode 18 MV energy on target 18.3 MeV Neutron yield Relative per incident Jaws (cm2) neutron yield % electron 10 x 10 Target (W,Cu) 1. 29x10-4 13 Primary 4.98x10-4 50 collimator (W) 9 Flattening filter 8.60x10-5 (Fe,Ta) Jaws 2.59x10-4 26 Other 1.57x10-5 2 100.0 Total 9.88x10-4 Neutron per Gy 9.88x1011 in isocenter

TABLE II:Neutron fluence at different positions Mode 18 MV energy on target 18.3 MeV Position Neutron fluence Relative Error 107 cm–2Gy–1 Isocenter 1.28 2 1.04 (1.06)a 3 0.32 4 0.96 5 0.93 a Howell et al. (3)

0.06 0.07 0.12 0.07 0.07

Figure 1: Varian Clinac 2100C geometry coded in MCNPX

Figure 2. MCNPX results showing neutron fluence (particles/cm2 per source particle) mapping superimposed over the accelerator geometry

References 1 X. S. Mao, K. R. Kase, J. C. Lui, W. R. Nelson, J H Kleck, S. Johnsen, “Neutron sources in the Varian Clinac 2100C/2300C medical accelerator calculated by the EGS4 Code,” Health Phys.72, 524-529, (1997) 2 K. R. Kase, X. S. Mao, W. R. Nelson, , J. C. Lui, J. H. Kleck, M. Elsalim, “Neutron fluence and energy spectra around the Varian Clinac 2100C/2300C medical accelerator,” Health Phys. 72, 524-530, (1998) 3 R. M. Howell, M. S. Ferenci, N. E. Hertel, G. D. Fullerton, “Investigation of secondary neutron dose for 18 MV dynamic MLC IMRT delivery,” Med. Phys.32 (3), 786-793, (2005) 4 R. M. Howell, N. E. Hertel, Z. Wang, J. Hutchinson, G. D. Fullerton, “Calculation of effective dose from measurements of secondary neutron spectra and scattered photon dose from dynamic MLC IMRT for 6 MV, 15 MV, and 18 MV beam energies,” Med. Phys. 33 (2), 360-368, (2006)

Characterization of Activation Products in a Medical ...

photon beam was produced by impinging electrons on a tungsten target. The electron ... The mean energy of the electron beam was 18.3 MeV with a Gaussian.

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