Every year, about one in three people on the nation's heart transplant list don't get a heart because too few are available.

Now, doctors are finding ways to use hearts that previously would have been rejected to help more people live longer.

Morris Shulman considers himself a lucky man. He had a heart transplant at 73 --- an age most doctors would consider too old to qualify for a new heart. But Morris received what's called an alternate heart, one that's slightly damaged or comes from an older or diseased donor.

Such a heart would be rejected for the regular transplant list, but Shulman says his alternate heart allowed him to watch his grandchildren grow up.

"I think that's the best part of the whole thing," he said. "I'd like to see my grandchildren get married, if I'm around that long --- which is another 15 years, maybe. But I figure I'm going to go to 100. I'm going to try anyway."

However, patients who receive lower-quality hearts have a lower success rate, especially in the first few months following surgery. For Shulman, it was touch and go.

"People gave me up for lost," he said, "including some of the doctors, because I had pneumonia and it was very serious. And I knew I would survive. And my wife knew I would survive. She knew because I was a strong guy."