Will the PIC approach cure the heliosphere modeling?

To push the boundaries of space science, we first need to know more about the real boundary for Terrestrials in space that is heliopause. The heliopause separates solar wind from interstellar matter. This boundary surrounds and contains our heliosphere, the space ruled by the Sun. The state of our current knowledge of the heliosphere, despite a big step forward in the last half-century, requires further work to answer extremely important and at the same time basic science questions. One of the still unsolved and most fundamental question is the structure and shape of the heliosphere. In this paper we shortly discuss selected heliosphere  created so far models and we initite consideration of hybrid-kinetic model using a PIC approach for modeling the heliosphere.