A microfluidic device for increasing convective clearance of particles from a liquid is provided. A network of first channels can be separated from a network of second channels by a membrane. The network of second channels can include a pressurizing feature to create a high pressure at an upstream portion of the second channels and a low pressure at a downstream portion of the second channels. Liquid containing an analyte can be introduced in the network of first channels. Filtrate can be flowed through the pressurizing feature in the second channels, such that the pressure difference in between the first and second channels causes at least some of the analyte in the first liquid is transported into the second channels through the membrane.