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Studying molecular gas in the central regions of the star burst galaxiesNGC4945 and Circinus enables us to characterize the physical conditions andcompare them to previous local and high-z studies. We estimate temperature,molecular density and column densities of CO and atomic carbon. Using modelpredictions we give a range of estimated CO/C abundance ratios. Using the newNANTEN2 4m sub-millimeter telescope in Pampa La Bola, Chile, we observed forthe first time CO 4-3 and [CI] 3P1-3 P0 at the centers of both galaxies atlinear scale of 682 pc and 732 pc respectively. We compute the cooling curvesof 12CO and 13CO using radiative transfer models and estimate the physicalconditions of CO and [CI]. The centers of NGC4945 and Circinus are very [CI]bright objects, exhibiting [CI] 3P1 - 3 P0 luminosities of 91 and 67Kkms-1kpc2,respectively. The [CI] 3P1-3 P0/CO 4-3 ratio of integrated intensities arelarge at 1.2 in NGC4945 and 2.8 in Circinus. Combining previous CO J= 1-0, 2-1and 3-2 and 13CO J= 1-0, 2-1 studies with our new observations, the radiativetransfer calculations give a range of densities, n(H2) = 10^3-3*104^cm-3, and awide range of kinetic temperatures, Tkin = 20 - 100K, depending on the density.Future CO J= 7-6 and [CI] 2-1 observations will be important to resolve theambiguity in the physical conditions and confirm the model predictions.

12CO 4-3 and [CI] 1-0 at the centers of NGC 4945 and Circinus