A method to build an analytic model of the 10B(n,α)7Li reaction rate space distribution for boron neutron capture therapy (BNCT)

Abstract This work provides the basis of a methodology to build a deterministic model for the spatial distribution of the 10 B(n,α) 7 Li reaction rate in boron neutron capture therapy (BNCT), as a function of space variables, boron concentration and beam incidence angle in homogeneous isotropic environments but also in different heterogeneous environments. Building the analytic function in a simple homogeneous environment with numerical methods leads to a mathematical formulation of the 10 B(n,α) 7 Li reactions rate.