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Recent Trends in Photon Dose Calculation

Boltzmann (1872) described the statistical

behavior of a thermodynamic system not in

equilibrium.

A fluid with spatial temperature gradients is

a classic example.

Modern applications to any kinetic equation

that describes the change of a macroscopic

quantity in a thermodynamic system, such

as energy, charge or particle number.

Monte Carlo

is a numerical method using

random sampling to approximate a solution.

Discrete ordinates

is a means of directly

calculating the average/probability of a

collection of particles evolving to a state of

positions and momenta over time.

http://en.wikipedia.org/wiki/Boltzmann_equation

Vassiliev ON, Wareing TA, et al, PMB 55(3), 581–98 (2010)

Han T, Mikell, JK

et al

Med. Phys., 38(5), 2651-2664 (2011)

D LBTE - deterministic linear Boltzmann transport equation