"I had hoped the rest day would allow some time to recover from my crashes. I was hopeful that I could get through yesterday and I tried to be there for the team, the way they have been there for me this whole time," he added.
"But it proved to be too much."
Back pain forced the 25-year-old to stop by the roadside on Wednesday, the 187.5 km 11th stage from Besancon to Oyonaxx, but he got back on his bike to cross the line well behind the peloton despite initially looking poised to retire.
His team issued a statement praising the American, whose nickname is "Pit Bull", saying: "We are proud of his ride yesterday, of his tenacity and his courage. He was determined to finish the stage, no matter how far back he was. That's the heart of a champion."
Team doctor Kevin Sprouse said Talansky was suffering the cumulative effects of multiple crashes during the first part of the Tour, an upper respiratory infection and lower back pain that made it hard for him to pedal.
Italy's Vincenzo Nibali of Astana leads the 21-stage race by two minutes and 23 seconds from Team Sky's Richie Porte of Australia.
Defending champion Chris Froome, two-time winner Alberto Contador and sprint specialist Mark Cavendish have already been forced out of the race due to injury after all suffered heavy crashes in a treacherous first half of the Tour.
(Reporting By Tony Goodson; Editing by John O'Brien)
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