A valve apparatus for a medical injection system includes a pinching member and at least one spring-loaded anvil. A tubing line of the injection system may be positioned between the pinching member and the anvil, such that when the pinching member is moved into a pinching position adjacent to the anvil, for example, by rotation of a shaft to which the member is coupled, the pinching member compresses the tubing line against the spring-loaded anvil. The pinching member is preferably rotatable about an auxiliary axis, which is eccentric, or offset from a central axis of the shaft. A spring member of the spring-loaded anvil is preferably pre-loaded. In certain applications, the pinching member, when moved into the pinching position, applies a pinching force of greater than approximately 45 pounds, for example, to prevent flow through the tubing line at an injection pressure of up to approximately 1200 psi.