A method of delivering fluid from an inlet tube connected to a fluid reservoir to an outlet tube in a pumping cycle; the method comprising: positioning, during an inflow phase of the pumping cycle, a valve to a first pumping position to establish a fluid contact between the inlet tube and a first aspiration cavity without having a fluid connection between the first aspiration cavity and the outlet tube, wherein positioning the valve to the first pumping position comprises rotating the valve to partially align a wedge shaped opening in the valve with the inlet tube and with the first aspiration cavity, and fluidically isolating a priming tubule of the valve from the outlet tube, the priming tubule fluidically coupled to the wedge shaped opening; moving, during the inflow phase, a first piston coupled with the first aspiration cavity to increase the volume of the first aspiration cavity; positioning, during an outflow phase of the pumping cycle, the valve to a second pumping position to establish a fluid contact between the first aspiration cavity and the outlet tube without having a fluid connection between the inlet tube and the first aspiration cavity, wherein: positioning the valve to the second pumping position comprises rotating the valve to partially align the wedge shaped opening in the valve with the outlet tube and with the first aspiration cavity; moving, during the outflow phase, the first piston to decrease the volume of the first aspiration cavity; operating a second piston connected to the outlet tube to divert a portion of the fluid from the first aspiration cavity into a second aspiration cavity in the outlet tube during the outflow phase thereby reducing a fluid delivery pulsation; and delivering, from the second aspiration cavity to the outlet tube, the diverted portion of fluid during the inflow phase. positioning, during an inflow phase of the pumping cycle, a valve to a first pumping position to establish a fluid contact between the inlet tube and a first aspiration cavity without having a fluid connection between the first aspiration cavity and the outlet tube, wherein positioning the valve to the first pumping position comprises rotating the valve to partially align a wedge shaped opening in the valve with the inlet tube and with the first aspiration cavity, and fluidically isolating a priming tubule of the valve from the outlet tube, the priming tubule fluidically coupled to the wedge shaped opening; moving, during the inflow phase, a first piston coupled with the first aspiration cavity to increase the volume of the first aspiration cavity; positioning, during an outflow phase of the pumping cycle, the valve to a second pumping position to establish a fluid contact between the first aspiration cavity and the outlet tube without having a fluid connection between the inlet tube and the first aspiration cavity, wherein: positioning the valve to the second pumping position comprises rotating the valve to partially align the wedge shaped opening in the valve with the outlet tube and with the first aspiration cavity; moving, during the outflow phase, the first piston to decrease the volume of the first aspiration cavity; operating a second piston connected to the outlet tube to divert a portion of the fluid from the first aspiration cavity into a second aspiration cavity in the outlet tube during the outflow phase thereby reducing a fluid delivery pulsation; and delivering, from the second aspiration cavity to the outlet tube, the diverted portion of fluid during the inflow phase. positioning the valve to the second pumping position comprises rotating the valve to partially align the wedge shaped opening in the valve with the outlet tube and with the first aspiration cavity; moving, during the outflow phase, the first piston to decrease the volume of the first aspiration cavity; operating a second piston connected to the outlet tube to divert a portion of the fluid from the first aspiration cavity into a second aspiration cavity in the outlet tube during the outflow phase thereby reducing a fluid delivery pulsation; and delivering, from the second aspiration cavity to the outlet tube, the diverted portion of fluid during the inflow phase.