A medical dialysis system including a filtration system configured to filter a water stream, a water purification system configured to purify the water stream in a non-batch process, a mixing system, and a dialyzer system. The mixing system includes a supply of dialysate components, a conductivity sensor positioned within a fluid pathway through which the water stream flows, and a control mechanism having a pump configured to control an amount of the one or more dialysate components added to the water stream from the supply. The mixing system can produce a stream of dialysate from mixing the one or more dialysate components with the water stream in a non-batch process. The dialyzer system includes a dialyzer, a plurality of pumps capable of pumping the stream of dialysate across the dialyzer, and another conductivity sensor positioned downstream of the dialyzer within a fluid pathway through which the water stream flows.