A one-way valve device for blocking airflow in a lung passageway. The device includes a frame structure and a frameless membrane. The frame structure includes a hub and anchors. The frameless membrane attaches to the hub section. The anchors and the frameless membrane are at first radial positions in a closed configuration and at second radial positions in an open configuration. The first radial positions is closer to a central longitudinal axis of the device than the second radial positions. The frameless membrane includes a plurality of pedals coupled to the base section. In the open configuration, the pedals curve away from the central longitudinal axis of the one-way valve device. Proximal sections of the pedals overlap proximal sections of adjacent pedals when the one-way valve device is in the open or closed configurations.
