An illustrative valve block includes a plate, a fluid transfer block, and a diaphragm. The plate includes a channel configured to receive a first fluid and a recess connected to the channel. The fluid transfer block includes an inlet connection configured to receive a second fluid and an outlet connection. The fluid transfer block also includes a plurality of valve inlet bores connected to the inlet connection. The plurality of valve inlet bores are distributed along at least part of a first curved shape. The fluid transfer block further includes a plurality of valve outlet bores each fluidly connected to the outlet connection. The plurality of valve outlet bores are distributed along at least part of a second curved shape. The diaphragm is between the pressure plate and the fluid transfer block. The plurality of valve inlet bores and the plurality of valve outlet bores adjoin the recess.