The baby's health parameters on the monitor can be seen during nearly the whole film. It shows the blood pressure is 120/80 and the pulse rate is 72, which are good parameters only for an average adult person. A newborn's physiological parameters for blood pressure is approximately 75/50 and the baby's pulse should be way over 100, approximately 140. Especially in this case, where the baby is considered a premature infant.
At the beginning of the movie, just after Nolan Haye's wife death, Paul walker is asking the doctor, when the storm would pass ? And the Dr Edmond to respond : it's not a storm but an hurricane, 20mn later the same Dr is saying to Nolan Hayes: "Sure, stop the storm".
The Adrenaline shot Nolan Hayes takes in the arm would have worked almost instantaneously. That's what they're designed to do, much like an EPI pen. If v a doctor had a patient in cardiac arrest he or she would not be afforded the luxury of the 1:50 seconds wait that Nolan waited for his Adrenaline hit. Granted heart patients have the drug administered in a different way, but still, a shot of pure Adrenaline would be a fast acting sensation, particularly with an emaciated system, hypertension, and a faster pulse. Further, when forced to protect his baby, he uses the drug on an intruder and voilà. Instant results.