Prof. Marco Martos Instituto de Astronomia - Universidad Nacional Autonoma de Mexico ``Mass Models of the Milky Way: Spiral Pattern, Bar, and the Stellar and Gaseous Response to the Mass Distribution'' With the aim of studying the nonlinear stellar and gaseous response to the gravitational potential of our Galaxy, we have modeled 3D spiral arms and bar as superpositions of ellipsoids and spheroids using the available data. Calculating stellar orbits, we found a sharp separatrix between prograde & retrograde orbits with respect to the spiral rotation: chaos is restricted to prograde orbits. The separatrix widens in the bar potential, but still chaos is restricted to prograde motion (defined unambiguously in the inertial frame). Also, the nature of the global (as opposed to the usual local aproximation) modeling of the spiral arms utilized shows important differences with respect to previous assumptions on the large scale shock structure. A self consistency analysis of the proposed spiral pattern revealed strong constraints on the pattern speed (a controversial quantity in the literature) and its extent, with consequences suggesting new views of cosmic ray flux histories studied previously assuming a wide range of spiral pattern speeds. Preliminary forays using hydrodynamic simulations indicate that the gas response to the two arms pattern of the K band gives rise to a complex four arms pattern observed in the optical band. This response is seemingly related to stellar resonances; the 4/1 plays a very important role in truncating the spiral and also bifurcating the "stellar" (K band) arms into gaseous arms. A number of questions are the subject of current work as a follow up of these results: and example is, how are the bar and the spiral coupled (if they are coupled), when their angular speeds are so different -- about 60 vs 20 km/(s kpc), respectively?