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Nancy Shute

The number of babies born too early dropped to 11.4 percent of all births in 2013, the best number in 17 years.

But that's still more than 450,000 children being born too early. Those babies face in increased risk of death, and those who survive are more likely to have problems including intellectual disability, vision or hearing loss, cerebral palsy and breathing trouble.

When a man shows up in her office with a broken wrist, Dr. Tamara Rozental will often suggest that he get his bone density checked for osteoporosis. She often gets a blank stare back.

"I may order the bone density scan and tell them they should get it, but many of my patients don't do it," Rozental, an orthopedic surgeon at Beth Israel Deaconess Medical Center, says.