ON DYNAMICAL (B/GD) NEUTRON CANCER THERAPY: ACCELERATOR-BASED SINGLE NEUTRON BEAM

This paper investigates a dynamical one-dimensional reaction-diffusion model of slow neutron beam radiotherapy for the treatment of tumors. The subject of an accelerator-based single-beam boron neutron cancer therapy (BNCT) and /or GdNCT is revisited in light of possible time modulation. The associa...

Full description

Saved in:
Bibliographic Details
Published inPacific journal of applied mathematics Vol. 9; no. 1; pp. 9 - 26
Main Author Haidar, Nassar H S
Format Journal Article
LanguageEnglish
Published Hauppauge Nova Science Publishers, Inc 01.01.2017
Subjects
Boron
Cancer
Cancer therapies
Density
Diffusion rate
Modulation
Neutron beams
Neutrons
Optimization
Radiation therapy
Standing waves
Thermal neutrons
Wave propagation
Online AccessGet full text

Cover

More Information
Summary:This paper investigates a dynamical one-dimensional reaction-diffusion model of slow neutron beam radiotherapy for the treatment of tumors. The subject of an accelerator-based single-beam boron neutron cancer therapy (BNCT) and /or GdNCT is revisited in light of possible time modulation. The associated propagation of a one-speed neutron-density wave in a cancerous region is proved to decompose into dissipative and periodic parts. The periodic part is shown to be a quasi-standing wave. It is also demonstrated how the modulation frequency of the accelerator can possibly be employed in the formulation of an optimization process that maximizes a therapeutic utility index together with the ballistic index for these-neutron density waves.
ISSN:1941-3963