I am sorry to hear about your situation.
The problem you have is that you state that the injury occured over three years ago.
In the UK we have what is called Statute of Limitation. What this means is that you have three years from the date of injury or date of knowledge (whichever is the sooner) in which to make a claim and issue proceedings. If you fail to issue proceedings within the three years, then you become time barred from making a claim. The exception on this time scale is for juveniles and those people incapable of looking after their own affairs.
So, unfortunately, I am afraid you would not now be able to make a claim unless you can prove that your date of knowledge was inside the three year period, which from what you have stated appears unlikely.