Embodiment methods of treating a human or animal patient using a remotely controlled robotic catheter device inserting a handle of a catheter into a handle controller, inserting the catheter tubular portion into a resealable delivery channel forming a sterile barrier to a sled base, engaging a tip of the catheter with a sterile introducer disposed at an end of the sled base and engaged with the patient's body, positioning the catheter into the patient's body by remotely sending commands to the tele-robotic device to cause the sled member to advance toward the patient's body, and performing a diagnostic or therapeutic procedure on the patient using the catheter. Diagnostic or therapeutic procedures may include a mapping procedure, an ablation procedure, an angioplasty procedure, a drug delivery procedure; an electrophysiology procedure, a radiological procedure, and a medical device implantation or positioning procedure.