{"title":"高斯质子束在水中三维剂量沉积的近似解析公式","authors":"E. Nichelatti , C. Ronsivalle","doi":"10.1016/j.nimb.2025.165653","DOIUrl":null,"url":null,"abstract":"<div><div>A proton linear accelerator named TOP-IMPLART, developed as a prototype of a full linear machine for proton therapy, is currently in operation at the ENEA laboratories of the Frascati Research Center in Italy. In anticipation of test irradiations of volumes or, more specifically, simulated treatment plans to check the linac’s performance, it is desirable to have a streamlined tool for calculating dose deposition in three spatial dimensions and for designing volumetric spread-out Bragg peaks. To this end, a preliminary quick approach to 3D dose calculation that avoids lengthy Monte Carlo simulations would be quite convenient. Here, we present the derivation of an analytical formula for the approximate calculation of the dose volume deposited in water by a Gaussian proton beam. The formula combines Bortfeld’s Bragg curve model with Preston–Koehler’s model for the widening of pencil beams. Example tests are shown.</div></div>","PeriodicalId":19380,"journal":{"name":"Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms","volume":"562 ","pages":"Article 165653"},"PeriodicalIF":1.4000,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An approximate analytical formula for 3D dose deposition in water by a Gaussian proton beam\",\"authors\":\"E. Nichelatti , C. Ronsivalle\",\"doi\":\"10.1016/j.nimb.2025.165653\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A proton linear accelerator named TOP-IMPLART, developed as a prototype of a full linear machine for proton therapy, is currently in operation at the ENEA laboratories of the Frascati Research Center in Italy. In anticipation of test irradiations of volumes or, more specifically, simulated treatment plans to check the linac’s performance, it is desirable to have a streamlined tool for calculating dose deposition in three spatial dimensions and for designing volumetric spread-out Bragg peaks. To this end, a preliminary quick approach to 3D dose calculation that avoids lengthy Monte Carlo simulations would be quite convenient. Here, we present the derivation of an analytical formula for the approximate calculation of the dose volume deposited in water by a Gaussian proton beam. The formula combines Bortfeld’s Bragg curve model with Preston–Koehler’s model for the widening of pencil beams. Example tests are shown.</div></div>\",\"PeriodicalId\":19380,\"journal\":{\"name\":\"Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms\",\"volume\":\"562 \",\"pages\":\"Article 165653\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-02-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0168583X25000436\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"INSTRUMENTS & INSTRUMENTATION\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0168583X25000436","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"INSTRUMENTS & INSTRUMENTATION","Score":null,"Total":0}
An approximate analytical formula for 3D dose deposition in water by a Gaussian proton beam
A proton linear accelerator named TOP-IMPLART, developed as a prototype of a full linear machine for proton therapy, is currently in operation at the ENEA laboratories of the Frascati Research Center in Italy. In anticipation of test irradiations of volumes or, more specifically, simulated treatment plans to check the linac’s performance, it is desirable to have a streamlined tool for calculating dose deposition in three spatial dimensions and for designing volumetric spread-out Bragg peaks. To this end, a preliminary quick approach to 3D dose calculation that avoids lengthy Monte Carlo simulations would be quite convenient. Here, we present the derivation of an analytical formula for the approximate calculation of the dose volume deposited in water by a Gaussian proton beam. The formula combines Bortfeld’s Bragg curve model with Preston–Koehler’s model for the widening of pencil beams. Example tests are shown.
期刊介绍:
Section B of Nuclear Instruments and Methods in Physics Research covers all aspects of the interaction of energetic beams with atoms, molecules and aggregate forms of matter. This includes ion beam analysis and ion beam modification of materials as well as basic data of importance for these studies. Topics of general interest include: atomic collisions in solids, particle channelling, all aspects of collision cascades, the modification of materials by energetic beams, ion implantation, irradiation - induced changes in materials, the physics and chemistry of beam interactions and the analysis of materials by all forms of energetic radiation. Modification by ion, laser and electron beams for the study of electronic materials, metals, ceramics, insulators, polymers and other important and new materials systems are included. Related studies, such as the application of ion beam analysis to biological, archaeological and geological samples as well as applications to solve problems in planetary science are also welcome. Energetic beams of interest include atomic and molecular ions, neutrons, positrons and muons, plasmas directed at surfaces, electron and photon beams, including laser treated surfaces and studies of solids by photon radiation from rotating anodes, synchrotrons, etc. In addition, the interaction between various forms of radiation and radiation-induced deposition processes are relevant.