We present models for the interstellar medium in disk galaxies. In particul
ar, we investigate whether the ISM in low surface brightness galaxies can s
upport a significant fraction of molecular gas given their low metallicity
and surface density. It is found that the abundance and line brightness of
CO in LSB galaxies is small and typically below current observational limit
s. Still, depending on physical details of the ISM, the fraction of gas in
the form of molecular hydrogen can be significant in the inner few kilopars
ecs of a low surface brightness galaxy. This molecular gas would be at temp
eratures of similar to 3-50 K, rather higher than in high surface brightnes
s galaxies. These results may help explain the star-forming properties and
inferred evolutionary history of LSB galaxies.