The Michael J. Fox Foundation for Parkinson’s Research announced a $50-million matching grant from Sergey Brin, the co-founder of Google, and his wife, Anne Wojcicki, to speed development of drugs to treat and cure the degenerative condition.

Mr. Brin, who carries a genetic mutation linked to heightened Parkinson’s risk, and Ms. Wojcicki will match new and increased gifts to the foundation through the end of next year. If the challenge is met, it will bring their total giving to the charity since 2004 to more than $130-million.