Arterial pressure: MAP = CO × SVR

Mean arterial pressure emerges as MAP = CO × SVR from the cardiac pump boundary condition. The engine returns MAP ≈ 95.7 mmHg (SBP 112 / DBP 80, pulse pressure 32) inside the cited resting human band, and the Ohm pressure–flow relation holds across a wide CO×SVR grid. Grade [consistency]; absolute CO [L].

Treating the circulation as a resistive transport network, mean pressure is pump flow times downstream resistance: MAP − CVP = CO × SVR. From the pump BC the engine reports MAP ≈ 95.7 mmHg with SBP/DBP ≈ 112/80 mmHg.

Pressure is flow times resistance

The vasculature is the transport class: a pressure-driven flow network with no single master gene. Its steady operating point is the hydraulic Ohm law MAP − CVP = CO × SVR, driven entirely by the cardiac-output boundary condition.

MAP-CVP=CO\times SVR

Across a cardiac-output × resistance grid the relation holds to better than 1%, and the resting point lands at MAP ≈ 95.7 mmHg — within the cited 85–100 mmHg band. The pulse pressure 32 mmHg follows from stroke volume against arterial compliance (next section).

That the Ohm relation holds across the grid is a [consistency] check (the engine computes MAP from it); 95.7 mmHg is a [code output] of the input CO and SVR. [observation] Normal resting mean arterial pressure in adults is about 70–105 mmHg (Hall & Hall, Guyton and Hall Textbook of Medical Physiology, 14th ed., 2021).