Pinch valve, comprising: - a valve body having exactly one flow channel, which flow channel is surrounded by a circumferential wall and has at a first end an inlet opening, which is designed for connecting a connection member or adjoins a connection element, and at a second end an outlet opening, which is designed for connecting a connection member or adjoins a connection element, and - a first and a second force transmission element, or a force transmission element and a fixing element, which are connected to the circumferential wall in a central closing region and are provided integrally as part of the circumferential wall that is arranged between the inlet opening and the outlet opening, wherein the first and the second force transmission element (19, 19'), or the force transmission element and the fixing element, are arranged at least substantially perpendicular to the flow direction of the flow channel, wherein the circumferential wall is made of an elastic material so that the first and the second force transmission element, or the force transmission element and the fixing element, can be moved relative to each other when a compressive or tensile force acts on a force transmission element perpendicularly to the flow direction of the flow channel, characterized in that the circumferential wall has in the central closing region, in a fully open state, a cross-section other than a circle, wherein the pinch valve is in a fully open state as long as no compressive or tensile force is acting on one or more force transmission elements, and wherein the circumferential wall, in cross-section, surrounds an area of the flow channel which, in a fully open state, is at least substantially constant along the entire valve body so that the mean flow velocity in the flow channel is at least substantially uniform at all positions along the valve body. - a valve body having exactly one flow channel, which flow channel is surrounded by a circumferential wall and has at a first end an inlet opening, which is designed for connecting a connection member or adjoins a connection element, and at a second end an outlet opening, which is designed for connecting a connection member or adjoins a connection element, and - a first and a second force transmission element, or a force transmission element and a fixing element, which are connected to the circumferential wall in a central closing region and are provided integrally as part of the circumferential wall that is arranged between the inlet opening and the outlet opening, wherein the first and the second force transmission element (19, 19'), or the force transmission element and the fixing element, are arranged at least substantially perpendicular to the flow direction of the flow channel, wherein the circumferential wall is made of an elastic material so that the first and the second force transmission element, or the force transmission element and the fixing element, can be moved relative to each other when a compressive or tensile force acts on a force transmission element perpendicularly to the flow direction of the flow channel, characterized in that the circumferential wall has in the central closing region, in a fully open state, a cross-section other than a circle, wherein the pinch valve is in a fully open state as long as no compressive or tensile force is acting on one or more force transmission elements, and wherein the circumferential wall, in cross-section, surrounds an area of the flow channel which, in a fully open state, is at least substantially constant along the entire valve body so that the mean flow velocity in the flow channel is at least substantially uniform at all positions along the valve body. wherein the circumferential wall is made of an elastic material so that the first and the second force transmission element, or the force transmission element and the fixing element, can be moved relative to each other when a compressive or tensile force acts on a force transmission element perpendicularly to the flow direction of the flow channel, characterized in that the circumferential wall has in the central closing region, in a fully open state, a cross-section other than a circle, wherein the pinch valve is in a fully open state as long as no compressive or tensile force is acting on one or more force transmission elements, and wherein the circumferential wall, in cross-section, surrounds an area of the flow channel which, in a fully open state, is at least substantially constant along the entire valve body so that the mean flow velocity in the flow channel is at least substantially uniform at all positions along the valve body.