The use of the state-of-the-art laser facility makes it possible to create conditions of the same or similar to those in the astrophysical processes.The introduction of the astrophysics-relevant ideas in laser-plasma experiments is propitious to the understanding of the astrophysical phenomena.However,the great difference between the laser-produced plasmas and the astrophysical processes makes it awkward to model the latter by laser-plasma experiments.This paper addresses the physical backgrounds for modeling the astrophysical plasmas by laser plasmas, connecting these two kinds of plasmas by scaling laws.Thus,allowing the creation of experimental test beds where observations and models can be quantitatively compared with laser-plasma data.Special attentions are paid on the possibilities of using home-made laser facilities to model astrophysical phenomena.