When the Heart Center at New York-Presbyterian Hospital is completed in the summer of 2009, it will bear the name of the Vivian and Seymour Milstein family, in recognition of the family’s $50 million gift, the hospital announced yesterday.

It is the largest single gift in the history of the hospital, and part of a $1 billion campaign to enhance clinical care, of which $805 million has been raised.

“The center will be built in a way that accommodates the very latest in heart disease treatments,” the president of the hospital, Dr. Herbert Pardes, said. The number of catheter labs will increase to 15 from 11, and the number of operating rooms to 32 from 24. In recent years, the hospital has experienced explosive growth in the number of minimally invasive catheter procedures it performs. In March, 326 were performed, whereas in all of 2003 there were 655 performed.

The six-story building designed by architect Ian Bader of Pei Cobb Freed & Partners, with an entrance on 167th Street, will feature a curving glass facade and hospital rooms with Hudson River views. The cost of the building and the new equipment is $250 million.

Mrs. Milstein’s late husband, Seymour Milstein, was chairman of the board of trustees of Columbia Presbyterian Medical Center. Their daughter, Constance, is a trustee of the hospital and their son, Philip, is a trustee of Columbia University. Both are principals in the family’s real estate holding company, Ogden CAP Properties.

President Clinton, whose quadruple bypass surgery was performed at the hospital, was on hand for the announcement and will serve as an honorary chairman of the center.