They mentioned about path integration but didn’t have any details about biological modeling.
e.g, if I go from A → B, and then B → C. And next time, how I am able to know the direction and distance that I can directly go from A to C?
I see the paper “Place cells, grid cells, and the brain’s spatial representation system” mentioned some models but still unclear about how exactly the phase precession model can be used for path integration on grid cell using speed and direction signals.
However, is your question specifically about how cells might read out the vector that the animal needs to travel in, in order to return to a particular location given a current location (i.e. path planning) using grid cells?
I’m not sure about a good paper on this read-out using grid cells - I’m sure they must exist, but you might find this talk by Barbara Webb that @weiglt shared a while ago interesting. She discusses how insects determine the homing path that they need to take to return to their nest - while not using grid cells, it’s still an interesting insight into how this kind of read-out might work mechanistically.
If you do find a good paper in your research, please feel free to share on here, as I would also be interested to take a look.