A pressure-driven valve is disclosed. The valve includes a housing, a fluid flow channel, and a deflectable portion. The housing comprises a fluid inlet and a fluid outlet. The fluid flow channel extends between the fluid inlet and the fluid outlet. The deflectable portion is disposed within the housing, and defines a portion of the fluid flow channel. The deflectable portion is configured to deflect to increase and decrease a size of the fluid flow channel to regulate fluid flow from the fluid inlet to the fluid outlet. The deflectable portion is disposed and arranged to deflect as a result of pressure differentials between a reference pressure, a fluid flow channel pressure, and an outlet pressure representative of fluid pressure at the fluid outlet.