I cannot do any pullups - not tried lately. But I can hike 30 miles in a day which I did last August to celebrate my 67th birthday. My heart rate was reaching in the 180's climbing hills as verified by my portable gps. Doc says my heart rate max should be in 110-120 range LOL. So I would consult your doc on what your max heart rate should be reaching doing these pullups or any kind of exercise.
Markus could offer some insight or guidelines on max heart rate. Anybody else or cardiologists have info on pushing the limits with exercise?