Ms Bryson was diagnosed with the condition five years ago and has been almost totally wheelchair-bound.
She read an article about stem cell treatment for her condition, unavailable in the UK, which was being carried out by a US company, Advanced Cell Therapeutics, in Rotterdam.
The process, which she underwent last Friday, only took a few hours.
She said: "Within 10 minutes after the treatment I went to the bathroom on my wheelchair, I went to stand up and I thought I was jumping off my chair.
"It felt absolutely fantastic, brilliant.
"I thought at first 'this is in my mind', but I spoke to the nurse who told me it happens, they've seen it happen plenty of times.
"That's the moment where it just filled me with hope for the future."
She added that to date the treatment, using newborn babies' umbilical cords, had not hurt anyone.
She said: "It should be available to patients through their own choice, it's pretty upsetting that it won't be in this country for probably another 20 years."