A shunt system includes a first catheter and a second catheter, each having a proximal end and a distal end, and at least one opening adjacent to its distal end. A proximal end of a drainage catheter is in fluid communication with the proximal end of the first catheter and the proximal end of the second catheter. A first one-way valve is disposed in fluid communication with the first catheter between its proximal end and its at least one opening. The first one-way valve effectively blocks fluid flow from the proximal end to the at least one opening. A second one-way valve is disposed in fluid communication with the second catheter between its proximal end and its at least one opening. The second one-way valve effectively blocks fluid flow from the proximal end to the at least one opening.