Nowadays, many researchers have become interested in simulating the manipulation of biological micro/nanoparticles by means of the atomic force microscope. However, in practice, this matter has run into many obstacles, and there are still numerous unknowns and ambiguities regarding the interactions in bioenvironments between different biological micro/nanoparticles with complex and precise shapes. In the past, many simulation works have been performed on the manipulation of biological particles, and most of these works have been conducted on various particles with presumed spherical, and sometimes cylindrical, shapes. But, as we know, the real biological particles have different and complex forms. Therefore, in this paper, first, gold nanoparticles and three different biological particles such as yeast, deoxyribonucleic acid and platelet, which have different shapes, are introduced as the target particles in the manipulation process, and then, the simulations are performed by considering a crowned roller geometry for these particles, and the critical force and time of manipulation in air, water, alcohol and plasma environments are computed. Finally, by reducing the length of the cylindrical section of the crowned roller and bringing the shape closer to a sphere, the obtained results are compared with the existing results for the manipulation of spherical particles and validated.