A valve assembly with a multidirectional flow path comprising a valve body comprising a first body portion and a second body portion connected to one another at one or more hinges, the first body portion and the second body portion defining respective passageways extending through the valve body when in a closed state; a flexible conduit having at least a portion thereof extending through the passageways of the valve body, the flexible conduit comprising a loop connected to a first branch, a second branch, a third branch, and a fourth branch, wherein the second and fourth branches are fluidically connected to one another across the loop portion via a connector segment; a first valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the first branch and the second branch; a second valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the second branch and the third branch; a third valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the third branch and the fourth branch; a fourth valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the fourth branch and the first branch; a fifth valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit in the connector segment; and wherein a first portion of the loop extends outside the valve body and is contained in a first rigid jacket (30, 120) and a second portion of the loop extends outside the valve body and is contained in a second rigid jacket (30, 120). a valve body comprising a first body portion and a second body portion connected to one another at one or more hinges, the first body portion and the second body portion defining respective passageways extending through the valve body when in a closed state; a flexible conduit having at least a portion thereof extending through the passageways of the valve body, the flexible conduit comprising a loop connected to a first branch, a second branch, a third branch, and a fourth branch, wherein the second and fourth branches are fluidically connected to one another across the loop portion via a connector segment; a first valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the first branch and the second branch; a second valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the second branch and the third branch; a third valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the third branch and the fourth branch; a fourth valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit loop between the fourth branch and the first branch; a fifth valve disposed on the valve body and having an actuator configured to actuate a pinching element to pinch the flexible conduit in the connector segment; and wherein a first portion of the loop extends outside the valve body and is contained in a first rigid jacket (30, 120) and a second portion of the loop extends outside the valve body and is contained in a second rigid jacket (30, 120).