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We must infer $\Sigma$, $\sigma_v$ and $\varkappa$ from the ALMA data and supplementary information. We include the {\sc Hi} 21-cm map of the galaxy that is part of the THINGS \cite{Walter_2008} survey in our analysis. The low-resolution studies of \citet[][L04a]{Lundgren_2004} and \cite[][L04b]{Lundgren_2004b} mapped the galaxy in CO $(1-0)$ and $(2-1)$ emission using SEST achieving a resolution of $27''$ at their best. However, this work provides a good measure of the overall gas masses.   We measure data ISM properties  from the original THINGS and ALMA data  cubes, using the average line-of-sight velocity measurements of the 21-cm data to provide a constraint on the velocities at which the neutral ISM will be found in any given spectrum. We then shift those assumed velocities to average spectra in radial bins, thereby determining an average line profile, even when the line cannot be readily discerned or characterized \citep[see][for details]{Schruba_2011}. To measure the surface density profiles, we shift and average the profiles in radial bins and convert the integrated spectra to surface densities. The profiles of the surface density curves are shown in Figure \ref{fig:profiles}. There is reasonably good agreement between the ALMA data and the L04 work, after scaling to our adopted distance of 4.8 Mpc and CO-to-H$_2$ conversion factor of $2\times 10^{20}~\mathrm{H_2/(K~km~s^{-1})}$. Measuring $\varkappa$ and $\sigma_v$ for the gas disk requires measuring the rotation curve. We adopt the rotation curve analysis of L04b, who used low resolution ($27''$) CO mapping to derive a rotation curve. They find the rotation curve is well modeled by an exponential disk. We confirm this by using their kinematic parameters (i.e., inclination and position angle) to estimate the amplitudes of the rotational motion for. In Figure \ref{fig:profiles}, we show the L04 rotation curve and the median absolute deviation of inferred rotational velocities for the 21-cm data around the rotation curve (grey region). There is good agreement between the two approaches, we adopt the functional form of the L04 curve rescaling from an adopted distance of 4.5 Mpc to 4.8 Mpc :  \begin{equation}