Access ports for providing subcutaneous access to a patient are disclosed. Such access ports may include: at least one structural element configured for resisting deformation of the septum in response to a pressure developed within the reservoir. Further, an access port may be structured for accommodating: 1) a flow rate of at least about 1 milliliter per second; or 2) a pressure developed within the reservoir of at least about 35 psi. An infusion set is disclosed and may be structured for flowing a fluid at a flow rate of at least about 1 milliliter per second. Infusion tubing comprising a plurality of layers is disclosed. Methods of operating and flowing a fluid through an access port or an infusion set are disclosed. A method of identifying an access port for power injection is disclosed. Septums comprising at least one gel region are disclosed.