homeostatically
Adverb
Meaning
in a homeostatic manner
Source: WordNetExamples
blood pressure is homeostatically regulated
On the other hand, it should be noted that not everything in the body is homeostatically controlled.
Thus the heart rate (for which there is no sensor in the body) is not homeostatically controlled, but is one of effector responses to errors in the arterial blood pressure.