When I think about the two uses, to gives me a sense of direction that with lacks. So correspond to suggests that the thing doing the corresponding is doing it without any active participation or intent on the part of what it is corresponding to.
So Number 2 corresponds to an active cell. suggests the active cell was not created or intended with Number 2 in mind and all of the correspondence is on the part of Number 2.
Number 2 corresponds with an active cell. says that Number 2 and an active cell correspond, but not that there is a particular direction.
When using correspond to mean "communicate in writing". That implies it's bidirectional. If you write a letter to someone and they never write back, I would not consider that corresponding. So I would normally only use correspond with when talking about communication.