Bulletin of the Lebedev Physics Institute

, Volume 45, Issue 2, pp 63–66 | Cite as

Analytical Representation of the Bragg Curve for Operating a TV-Type Detector at the Radiotherapeutic Accelerator

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Abstract

A mathematical model of the TV-type detector calculator operation with analytical approximation of the Bragg curve in the simple form for fast calculations is proposed. An analytical formula is obtained, based on the combination of parabolic cylinder functions, well consistent with numerical methods and experimental data, which is valid for proton energies from 60 to 180 MeV.

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References

  1. 1.
    A. V. Grinkevich and V. V. Siksin, Kratkie Soobshcheniya po Fizike FIAN 44(2), 3 (2017) [Bulletin of the Lebedev Physics Institute 44, 29 (2017)].Google Scholar
  2. 2.
    A. V. Grinkevich and V. V. Siksin, Kratkie Soobshcheniya po Fizike FIAN 44(5), 8 (2017) [Bulletin of the Lebedev Physics Institute 44, 127 (2017)].Google Scholar
  3. 3.
    J. F. Briesmelster, “MNCP-A General Monte Carlo N-Particle Transport Code. Version 4C,” Report LA-13709-M (Los Alamos National Laboratory, Los Alamos, 2000).Google Scholar
  4. 4.
    K.-U. Gardey, “A Pencil Beam Model for Proton Therapy-Treatment Planning and Experimental Results,” PhD Thesis (Universitat Heidelberg, Heidelberg, 1996).Google Scholar
  5. 5.
    U. Oelfke, K.-U. Gardey, E.W. Blackmore, and G. K. Y. Lam, “Proton Dosimetry at TRIUMF: Experimental Profiles and PTRAN MC Calculations”, in Particle Therapy Co-operative Oncology Group XXII, San Francisco, 1995; http://www.ptcog.ch/inde x.php/ptcog-publications.Google Scholar
  6. 6.
    J. F. Janni, At. Data Nucl. Data Tables 27, 147 (1982).ADSCrossRefGoogle Scholar
  7. 7.
    T. Bortfeld, Med. Phys. 24, 2024 (1997).CrossRefGoogle Scholar
  8. 8.
    Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).Google Scholar
  9. 9.
    Absorbed Dose determination in External BeamRadiotherapy. An InternationalCode of Practice for Dosimetry Based on Standards of Absorbed Dose to Water. Technical Reports Series, no. 398 (International Atomic Energy Agency, Vienna, 2000).Google Scholar

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© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.EMU Ltd.St. PetersburgRussia
  2. 2.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

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