Speaking on behalf of "the entire family and their supporters", spokesman Alasdair Seton-Marsden said their attention had been drawn to "certain threats" against the judiciary, barristers representing Great Ormond Street, and against doctors and nurses at the hospital.
His parents, Chris Gard and Connie Yates, successfully raised money in hopes of bringing their son to the U.S. for an experimental treatment, but doctors at the Great Ormond Street Hospital in London, where Charlie has been since October, argued in court that it was not in their patient's best interest.
It came after the High Court judge lifted an order which barred journalists from revealing the name of the American specialist.
After a series of hearings and appeals in several courts, the European Court of Human Rights decided on June 30 that the hospital could discontinue life support to Charlie and he could not be transferred.
Dr Hirano said he has clinical data which was not available in April and he still believes the therapy is "worth trying".
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The government-appointed "guardian" who's supposed to "look after Charlie's interest" didn't want his parents to be allowed in the meeting, Mahoney said. Little Charlie Gard's parents deserve the right to bring him to the USA to try to find treatment for him - that shouldn't even have to be discussed!
Now, new reports indicate Francis wants an independent third-party to measure Charlie's head to determine if there has been any brain development.
The parents hope it will help Charlie, who suffers from a rare genetic condition, to live longer.
The emotional case went to the UK High Court this week after the hospital requested a new hearing to consider "new evidence relating to potential treatment for his condition". The guardian was "arguing in open court in the second highest court in Great Britain that Charlie's parents should not be at [these meetings] Monday and Tuesday".
Charlie's parents, and the rest of the world, await it with bated breath. It is absurd that the science of this case is being infected by the inability to measure a child's skull.
The doctor estimated a 10% chance of improvement in muscle strength and a "small but significant" improvement in brain function. She said it has been "absolute living hell" to wait and wonder when the hospital might end his life support. "We are not bad parents, we are there for him all the time, we are completely devoted to him and he's not in pain and suffering, and I promise everyone I would not sit there and watch my son in pain and suffering, I couldn't do it".