It's commonly said, and it's a useful abstraction (it's not really wrong!) that these are current-controlled devices. Actually, what determines the state of a BJT is not the current through its base but the charge stored in its base. It's just that this charge quickly dissipates due to low-impedance paths to the collector and emitter. It's this charge that alters the potential energy to allow charge carriers through the base region, not current
the reason it's so useful to think in terms of current controlled devices is simply that as this charge dissipates quickly, it must be constantly replenished, so what the equilibrium charge in the base region is depends on how quickly that charge is being restored--the magnitude of the current