Medical pump device for delivering a medical fluid, having - an elastomeric membrane, which forms a pump volume for receiving and delivering the medical fluid, - wherein the elastomeric membrane is elastically expanded in a filling state of the pump volume at least partially filled with the medical fluid, - and wherein, by means of the elastically expanded membrane, a delivery pressure (p) is exerted on the pump volume in order to deliver the medical fluid into a medical fluid-line system connectable in a fluid-conducting manner to the pump volume, - and having a throttle device (10, 10c) with at least one channel (11, 11a to 11c), - wherein the channel (11, 11a to 11c) has an inlet, which is connected in a fluid-conducting manner to the pump volume, and an outlet, which is connectable in a fluid-conducting manner to the medical fluid-line system, - and wherein the at least one channel (11, 11a to 11c) is designed in such a way that the delivery of the medical fluid through the outlet can be finely adjusted to a defined flow rate at the time of manufacture, - characterized in that the throttle device (10, 10c) has at least a first body (14, 14c) and a second body (15, 15a to 15c), wherein the at least one channel (11, 11a to 11c) is formed between oppositely arranged surfaces (16, 17) of the two bodies (14, 14c, 15, 15a to 15c), and wherein the surfaces (16, 17) are movable relative to each other for the fine adjustment of the flow rate at the time of manufacture, in such a way that an effective length of the channel (11, 11a to 11c) is variable, and in that the first body (14, 14c) has a cylinder bore (18, 18c), and the second body is designed in the form of a cylinder (15, 15a to 15c), wherein the cylinder (15, 15a to 15c) is fitted into the cylinder bore (18, 18c), and wherein the channel is designed in the form of an at least single-flight helix (11, 11a to 11c) in a radial direction between the cylinder bore (18, 18c) and the cylinder (15, 15a to 15c). - an elastomeric membrane, which forms a pump volume for receiving and delivering the medical fluid, - wherein the elastomeric membrane is elastically expanded in a filling state of the pump volume at least partially filled with the medical fluid, - and wherein, by means of the elastically expanded membrane, a delivery pressure (p) is exerted on the pump volume in order to deliver the medical fluid into a medical fluid-line system connectable in a fluid-conducting manner to the pump volume, - and having a throttle device (10, 10c) with at least one channel (11, 11a to 11c), - wherein the channel (11, 11a to 11c) has an inlet, which is connected in a fluid-conducting manner to the pump volume, and an outlet, which is connectable in a fluid-conducting manner to the medical fluid-line system, - and wherein the at least one channel (11, 11a to 11c) is designed in such a way that the delivery of the medical fluid through the outlet can be finely adjusted to a defined flow rate at the time of manufacture, - characterized in that the throttle device (10, 10c) has at least a first body (14, 14c) and a second body (15, 15a to 15c), wherein the at least one channel (11, 11a to 11c) is formed between oppositely arranged surfaces (16, 17) of the two bodies (14, 14c, 15, 15a to 15c), and wherein the surfaces (16, 17) are movable relative to each other for the fine adjustment of the flow rate at the time of manufacture, in such a way that an effective length of the channel (11, 11a to 11c) is variable, and in that the first body (14, 14c) has a cylinder bore (18, 18c), and the second body is designed in the form of a cylinder (15, 15a to 15c), wherein the cylinder (15, 15a to 15c) is fitted into the cylinder bore (18, 18c), and wherein the channel is designed in the form of an at least single-flight helix (11, 11a to 11c) in a radial direction between the cylinder bore (18, 18c) and the cylinder (15, 15a to 15c).