The AN124 - when I flew on it in the mid 90s the engines were spooled up to 80% and had to remain there for 4 minutes to heat soak the engines, before full power could be applied.
If this was not adhered to the result could have been fan blades on the taxi way. Might have been embarassing
It was interesting to gauge ATC reaction when the aircraft had to sit on the runway for this lenght of time
Not sure if the engines have been improved since then.
On the DC10 the cold weather procedure is to accelerate the engines to 57%N1 for 30 seconds every 60 minutes if excessve icing conditions exist and the rolling method of takeoff is the preferred. Because it may result in a slightly better takeoff performance