The primary goal of this research is to investigate the consequences of Brownian motion and thermophoresis diffusion in Williamson MHD fluid flow across an extended porous sheet, as well as thermal radiation and microorganism bioconvection. Similarity functions are used to convert partial differential equations (PDEs) into equivalent ordinary differential equations (ODEs) to achieve this goal. The Runge-Kutta (RK) method with shooting strategy is then utilised to obtain the desired outcomes using a MATLAB script. In the presence of a strong magnetic parameter, the fluid velocity decreases, but it increases with mixed convection. As thermophoresis (Nt) and Brownian motion (Nb) parameters are increased, the temperature rises. The velocity field is decreased by theLewis number of bioconvection.