Subject related to brain activity (hemodynamic modeling):

At steady-state, numerous studies were in agreement with an early the power-law relation between flow and volume:

V = F^{alpha}

I read in many papers that : However, during transient phases, this steady-state relation (power-law) makes no sense, since when the volume is varying, the flow cannot be the same throughout. Indeed, the variation of the blood volume V inside a given vascular compartment can be expressed as the difference between entering and exiting flows.

I want some detailed explanations about the meaning of since when the volume is varying, the flow cannot be the same throughout

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