Print with flexible filament, I used NinjaFlex.
I suggest you print in a flexible filament to keep the valves mobile
There is 0.2mm distance between the flat part and where the valves start. Add a pause on layer before the valves start printing. Then apply a liberal amount of water-soluble gluestick where the valves will later be. After printing wiggle the valves free, wash off the glue and you got yourself some working valves!
The author hasn't provided the model origin yet.