  In this paper we present a complete and detailed computational model of the
response of the hybrid Muon Telescope (MuTe), designed to perform muography
volcanic studies. This instrument combines two particle detection techniques:
first, a muon hodoscope based on two panels of plastic scintillator bars; and a
Water Cherenkov detector located behind the rear scintillator panel acting both
as a coincidence and a discriminating detector. The simulation model includes:
materials, geometries, dimensions, and the photo-sensitiveness of the
detectors. The simulation results, in agreement with the measured data, were
used to set up the muon detector trigger for the expected energy dependent
signal.
