Scientific approach of Kamma The concept of Kamma implies that information is stored in the mind (not the brain) and after the being is dead, this mind (or this data "storage") goes on and carries with it the current position of all accumulated Kamma from many previous life. 

This clearly creates some scientific questions such as: Where is the information stored if there is no physical "hardware"? How does this information flows? How a new being receives it and change its body accordingly (Imagine a Kamma-Vipaka of a disease for a new born or not having a member)? Etc...

Many people will answer that these doubts represent a fetter and will not help you in the practice, so just forget about it, however I know many Buddhists have great scientific background and could help here.

Is there any detailed description, maybe Abidhamma, of this process of Kamma/information flow? Has anyone ever tried to shed a light on this topic?
The concept of Kamma implies that information is stored in the mind


No, it does not! Information and storage are concepts. Not realities! The issue here is, we make the assumption that for causes to give an effect in the future, something needs to persist in the interim. When you commit a Kamma, the action is done and finished then and there. There's nothing stored. To give an analogy, take a stick and hold it at one end with your left hand and tap at the other end with your right. Your left hand will feel the vibration. But did any molecule travel from right to left? No! It's just that when the molecules at the place you tapped vibrate, the adjacent molecules start vibrating and then the ones next to them and so on. Then we make a concept out of it and call it a wave. But there's no wave in reality! The first molecule vibrated and stopped. It didn't go anywhere.  Similarly, Kamma is also a concept given to describe a certain causes and effect process. There's nothing going from this life to the next or this moment to the next.