Therapeutic stem cells are encapsulated in a hydrogel disk with a diameter of 30 mm, and a thickness of 7 mm as shown in the first figure below. To spatially control the diffusion of drug out of the hydrogel, 10 cylindrical holes with a diameter of 2 mm are cut through the gel

The pressure at position 1 shown is 250 dyne/cm2, while the pressure at position 2 is 100 dyne/cm2. What is the volumetric flow rate (Q) of cell culture media through the hydrogel? Use Darcys law, assume a hydraulic conductivity of 3*10-3 cm3*s/g. Gravitational effects can be ignored.