  In this paper we study the shape characteristics of star-like polymers in
various solvent quality using a mesoscopic level of modeling. The dissipative
particle dynamics simulations are performed for the homogeneous and four
different heterogeneous star polymers with the same molecular weight. We
analyse the gyration radius and asphericity at the bad, good and
$\theta$-solvent regimes. Detailed explanation based on interplay between
enthalpic and entropic contributions to the free energy and analyses on of the
asphericity of individual branches are provided to explain the increase of the
apsphericity in $\theta$-solvent regime.
