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Kirst's brother, Whitey, a guitarist for Iggy Pop, told the website that he was "devastated" by the news.
"From what I understand, he just went to the store to get a pack of cigarettes," he said of the father of two.
Herrera says someone spotted Kirst on the side of Date Palm Road at about 11:45 p.m. and called police, thinking the man was intoxicated.
The Nymphs were big in the late 1980s and early 1990s, but disbanded after one album.
The brothers helped form The Trolls, Pop's backup band on albums "Beat 'Em Up" and "Skull Ring."