The business applies one of the key lessons of Brown's work with Viagra, which was developed originally to treat heart patients: That drugs intended to help one condition can sometimes be adapted to treat others.
The tech start-up has a knowledge bank that maps over one billion unique disease, patients and drug interactions.
The database includes information from scientific research papers, clinical trials, disease symptoms and drug targets.
The AI developed by the team automatically scans this information to find existing drugs that could help to treat specific diseases, reducing the time and cost of the traditional discovery process.
There are between 6000 and 8000 known rare diseases and around five new rare diseases are described in medical literature each week, according to non-profit organisation Rare Disease UK.
One in 17 people, or 7 per cent of the population, will be affected by a rare disease at some point in their lives, the campaign group claims.
Healx's technology has already been used in collaboration with FRAXA, the patient group for the Fragile-X Syndrome, an incurable genetic disorder which can cause seizures and hyperactivity. A drug was discovered in under 15 months, cutting the time spent on drug development by 80 per cent.
"In some cases you can look for a cure but you have to be realistic about what is possible," explained co-founder and chief executive officer Tim Guilliams.
"In most cases you are trying to manage the disease and improve [the patient's] quality of life."