Dennis Quaid's Kids Fighting For Their Lives

Dennis Quaid's newborn twins are in stable condition after being given an accidental drug overdose at Cedars-Sinai Medical Center in Los Angeles.

In a statement to Us Magazine, Quaid’s rep said: “Dennis and [his wife] Kimberly appreciate everyone’s thoughts and prayers and hope they can maintain their privacy at this difficult time.”

Thomas Boone and Zoe Grace - whom Quaid and his wife welcomed via a surrogate on November 8 — were given a 10,000 units of Heparin — an anti-coagulant used to flush out IV lines and prevent blood clots — this past Sunday and began to "bleed out," TMZ.com first reported Tuesday. (Babies typically get 10 units.)

The newborns, who are in the hospital's neo-natal intensive care unit, are being given the drug Protamine, which reverses the effects of Heparin.