Question: I am not a native speaker therefore I would be grateful if someone could explain me what is the diferrence between "minute by minute" and "minute after minute". Thank you.

Answer: 
You could use similar or analogous.
[Alike](http://www.oxforddictionaries.com/us/definition/american_english/alike)

> 
> (Of two or more subjects) similar to each other
> 
> 
> 

*The brothers were very much alike*