The aim of the copyright would be so that others can use it for their non-commercial applications provided they offer due credit to the team that developed it.
In most countries, copyright is automatic and free of charge, so no procedures are needed. A few countries require you to register it. So it all depends what country you are based in. A quick Google search will tell you what applies to your country. Local law generally permit copying for non-commercial research purposes without any procedures to go through, so again, no procedures to go through for the person wishing to copy. Remember, privacy abnd data protectiion laws will very likely prevent you from making the patient identifiable, e.g., don't give their name, a photo, maybe even patient number.