The circulating levels of vasopressin (AVP) in response to changes in osmolality are influenced by volume status. In euvolemic individuals, plasma AVP becomes detectable at around 285 mOsm/kg, and there is a linear relationship between osmolality and circulating AVP. However, in hypovolemia, the osmotic threshold is slightly lower with a steeper response curve, while hypervolemia reduces the sensitivity of AVP levels to osmolality.