The previous work has focused on unconnected membrane morphology, as illustrated in Fig. 1c The current project has focused on computing the performance of filters characterized by different membrane structures, as shown in Figs. 1a and 1b, and comparing them with the performance of the membranes characterized by unconnected membrane structure. To carry out this comparison, an elaborate branching model has been developed, and simulations have been formulated and carried out. The focus of these simulations has been on computing throughput for the membrane structures shown in Fig. 1 and discussing which of the configurations is optimal. Furthermore, the project involves considering asymmetric membranes, where pores are perturbed by random noise. The question here is how random perturbations, that are expected in applications, influence membrane performance. The project has been continued after the end of semester, leading to a publication in J. Fluid Mechanics (2020) . The project was supported by NSF Grant No. DMS-1615719.Click here for more detail.