1.   ...the left anterior descending artery.

2.   His doctors said that one artery, called the diagonal branch of the left anterior descending artery, was narrowed by fatty plaque material.

3.   His doctors said that one artery, called the diagonal branch of the left anterior descending artery, was narrowed by fatty plaque.

4.   Soon, the doctors detected that the diagonal artery, a branch of the bigger left anterior descending artery, was almost completely blocked.

5.   The anterior descending artery was totally blocked.