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The lawsuit, filed Monday in Los Angeles, seeks class-action status and financial compensation. The amount has not been specified.
According to the lawsuit, 206 patients received eight times the normal dose of radiation because of an equipment error that went undetected for more than a year.
About 40 percent of those patients lost some hair. Rees says he also had red and flaky skin.
Cedars-Sinai says it contacted all the affected patients, but Rees claims he was not contacted.
GE has previously stated that the CT scanner was not defective.
The hospital has not commented on the lawsuit.
The Associated Press contributed to this story.