We observed nearby (D < 10 Mpc)galaxies (Henize 2-10, IC 10, IC 342, M 83, NGC 253 and NGC 6946) inthe rotational lines of carbon monoxide CO and in the fine-structuretransitions of atomic carbon [CI] with the Caltech SubmillimeterObservatory (CSO). Using our new data, those from the literature and theLVG and PDR models, we derived the physical properties of the warmand dense molecular gas (kinetic temperature, UV radiation field, gasdensity...) in each nucleus. We predicted lines intensities for the12CO(5-4), 12CO(7-6) and 12CO(8-7) lines which are,even now, still difficult or impossible to detect from the ground butwill become available in few years with ALMA and HIFI or PACS, on boardthe Herschel satellite. Studying the ISM of nearby galaxies, we providea first step in the understanding of the ISM processes in more distantgalaxies.