Berns, of Foxborough, died Friday after complications from progeria. The Progeria Research Foundation announced his death.
Berns was diagnosed with progeria at 22 months. His parents founded the nonprofit foundation after encountering a lack of information and research on the fatal condition, whose victims live an average of 13 years.
New England Patriots owner Robert Kraft mourned Berns' death, saying he had invited him to be the team's honorary captain for Saturday night's playoff game and was looking forward to spending time with him.
Berns was the subject of an HBO documentary last year called "Life According to Sam."