Monte Carlo techniques have become popular in different areas of medical ph
ysics with advantage of powerful computing systems. In particular, they hav
e been extensively applied to simulate processes involving random behavior
and to quantify physical parameters that are difficult or even impossible t
o calculate by experimental measurements. Recent nuclear medical imaging in
novations such as single-photon emission computed tomography (SPECT), posit
ron emission tomography (PET), and multiple emission tomography (MET) are i
deal for Monte Carlo modeling techniques because of the stochastic nature o
f radiation emission, transport and detection processes. Factors which have
contributed to the wider use include improved models of radiation transpor
t processes, the practicality of application with the development of accele
ration schemes and the improved speed of computers. In this paper we presen
t a derivation and methodological basis for this approach and critically re
view their areas of application in nuclear imaging. An overview of existing
simulation programs is provided and illustrated with examples of some usef
ul features of such sophisticated tools in connection with common computing
facilities and more powerful multiple-processor parallel pro(c)essing syst
ems. Current and future trends in the field are also discussed. (C) 1999 Am
erican Association of Physicists in Medicine. [S0094-2405(99)01904-5].