Disclosed is an ocular device including a first structure formed of a first material providing a first shape to the ocular device prior to positioning the ocular device on the surface of the eye, a second structure formed of a second, different material having a tubular structure and a lumen through which the first structure extends, and at least one therapeutic agent is dispersed within the second material of the second structure. The first shape of the ocular device conforms to a second, different shape after positioning the ocular device on the surface of the eye. Upon being removed from the eye, the ocular device retains the second shape or changes to a third shape different from both the first shape and the second shape. Related apparatus, systems and method are described.