In this talk, I will present two platforms for studying active particle systems on curved surfaces and in solutions, respectively. In the first model, we simulate motion of self-propelled active partciels on a prescribed surface and present a host of spatial temporal patterns on surfaces of various topologies. In particular, we identify a novel spatial temporal motion while the curvature of the surface exceed certain value in a hill-valley topography. In the second model, we develop a hybrid hydrodynamical model to simulate active swimmers in a solution subject to various source of driven and self-driven mechanisms. The active particles in the model can be either rigid or soft. Extension to include elastic or viscoelastic particles are possible.
