Numerical solution of the boltzmann transport equation for photons and some equations derived from the fokker-planck approximation for electrons. Application to radiotherapy.

  1. Das, Taposh Kumar
Dirixida por:
  1. Oscar López Pouso Director

Universidade de defensa: Universidade de Santiago de Compostela

Fecha de defensa: 15 de novembro de 2012

Tribunal:
  1. Lino José Álvarez Vázquez Presidente
  2. Carmen Rodríguez Iglesias Secretario/a
  3. María Teresa Sánchez Rúa Vogal
  4. María Luisa Seoane Martínez Vogal
  5. Martin Frank Vogal

Tipo: Tese

Resumo

This work is focused on the numerical resolution of the Boltzmann transport equation (BTE) for photons and of a certain type of degenerate parabolic equations which come from the Fokker‐Planck equation. BTE is solved in the three‐dimensional case by means of the so‐called “expansion in orders of scattering”, and the degenerate parabolic equation is solved with a finite difference method. MATLAB language programming has been employed to obtain the numerical results and graphics. The motivation of the thesis is the calculus of the absorbed dose of radiation during external radiotherapy cancer treatment. The first chapters gather medical‐biological and physical information, explaining the fundamentals of radiotherapy and the interaction phenomena between radiation and matter