New calculations are presented of the boundary conditions of the heliosphere, using observations of interstellar material (ISM) inside and outside of the heliosphere and the models in Slavin and Frisch (2002, ApJ 565,364). A radiative transfer calculation of the ionization and composition of the local ISM is combined with observations of pickup ions (PUI), anomalous cosmic rays (ACR), and interstellar gas to model the ionization and composition of ISM within a few parsecs of the Sun. Interstellar absorption lines give ISM properties over parsec length sightlines, while PUI and ACR data give the properties of ISM entering the heliosphere. Radiation sources in the model include observed sources such as hot stars and the Local Bubble plasma, and the unobserved extreme ultraviolet emission from a possible evaporative boundary around the local ISM. The interstellar atoms found to be abundant within the solar system (He, N, O, Ar, Ne) provide important constraints on the radiative transfer models since they are partially ionized in local ISM.