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Linear Boltzman Equation

Describes the transport of particles through a medium (incl photons)

The

linear

equation means particles only interact with medium not with each other i.e.

cross section do not depend on fluence

• No magnetic field is present

A

closed

form or

analytical

solution would give the exact solution of the dose

distribution in a irradiated medium e.g. a patient – this is not possible

• Only possible in very restricted problems

An

open

form must be used i.e. a

numerical

solution

Can use

Monte Carlo

which indirectly can provide an approximate solution

Or – use

Deterministic

approaches (Grid Based Boltzmann Solvers GBSS)

•Directly solve BTE

•Inhomogeneities easily handled

•Free of statistical noise

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