Heart & Lungs
How much blood does the heart pump, and how much oxygen does it bring to the body? From the heart rate, the volume of the left ventricle and the blood pressure, get the cardiac output, ejection fraction, mean arterial pressure and vascular resistance. Add the haemoglobin and oxygen saturation for the oxygen delivery and, with a venous saturation, the oxygen the body uses (Fick).
How Does the Heart Deliver Oxygen?
With every beat the left ventricle fills to its end-diastolic volume and then squeezes out part of it, the stroke volume. The share it squeezes out is the ejection fraction, the number cardiologists use most to judge how well the heart pumps. Stroke volume times heart rate is the cardiac output: about 5 litres per minute at rest, so all your blood goes round once a minute, and up to 20–35 L/min in a trained athlete during exercise.
The pressure in the arteries swings between the systolic and diastolic value. Because the heart spends about two thirds of each beat relaxing, the mean arterial pressure lies one third of the way up from the diastolic pressure. Like Ohm’s law for electricity, pressure drop = flow × resistance, so the pressure drop from arteries to veins divided by the cardiac output is the systemic vascular resistance, set mainly by how wide the small arteries are.
Each gram of haemoglobin carries up to 1.34 mL of oxygen; only a little dissolves in the plasma. The oxygen content of the blood times the cardiac output is the oxygen delivery. At rest the body takes out only about a quarter of it, so the blood that returns to the heart is still about 75% saturated: a reserve for exercise or illness. The Fick principle turns this around: the oxygen used equals the flow times the difference between arterial and venous content.
Pressure–Volume Loop of the Left Ventricle
SVCompared With a Healthy Adult at Rest
typical ranges; labs and guidelines differ slightly| Quantity | Your values | Typical at rest |
|---|
Worked Techniques
Subtract the volume left after a beat from the volume before it, then multiply by the beats per minute. Divide by 1000 to go from mL to litres.
The factor 80 converts mmHg·min/L (Wood units) to dyn·s/cm⁵, the unit used in intensive care.
Multiply by 10 because the content is per decilitre and the output in litres. The venous content uses the venous saturation and a PvO₂ of 40 mmHg for the small dissolved part.
Sources & Verification
- J. E. Hall and M. E. Hall, Guyton and Hall Textbook of Medical Physiology, 14th ed., Elsevier, 2021 — the chapters on the heart as a pump, cardiac output and the transport of oxygen in the blood.
- P. L. Marino, Marino’s The ICU Book, 4th ed., Wolters Kluwer, 2014 — oxygen content, delivery, uptake and extraction; haemodynamic normal values.
- R. D. Mosteller, “Simplified calculation of body-surface area”, N. Engl. J. Med. 317 (1987) 1098 — BSA = √(height × weight / 3600).
- B. Bozkurt et al., “Universal definition and classification of heart failure”, J. Card. Fail. 27 (2021) 387–413 — EF ≤ 40% reduced, 41–49% mildly reduced, ≥ 50% preserved.