Qp/Qs Calculator

Compute the pulmonary-to-systemic blood flow ratio (Qp/Qs) from oxygen saturation values to quantify the size and direction of a cardiac shunt.

Quick Facts

Formula
Qp/Qs = (SaO2 - SmvO2) / (SpvO2 - SpaO2)
Saturation-based Fick shortcut; oxygen consumption and hemoglobin terms cancel out.
Mixed venous estimate
SmvO2 = (3 x SVC + IVC) / 4
Weighted average used when a true pulmonary-artery mixed sample isn't available.
Common reference band
Qp/Qs above 1.5
Often cited as the point where a left-to-right shunt becomes hemodynamically significant.

Your Results

Calculated
Qp/Qs ratio
-
Pulmonary flow / systemic flow
Mixed venous O2 saturation
-
(3 x SVC + IVC) / 4
Relative shunt flow
-
(Qp/Qs - 1) x 100%
Shunt classification
-
Standard clinical thresholds

Ready

Enter the oxygen saturation values, then calculate the Qp/Qs ratio.

About the Qp/Qs ratio

Qp/Qs is the ratio of pulmonary blood flow (Qp, the volume of blood passing through the lungs) to systemic blood flow (Qs, the volume passing through the rest of the body). In a structurally normal heart these two flows are equal, so Qp/Qs is about 1.0. When a shunt lets blood cross between the pulmonary and systemic circulations - through an atrial septal defect, ventricular septal defect, patent ductus arteriosus, or similar lesion - the two flows diverge, and the ratio quantifies how much.

The saturation-based formula

Measuring Qp and Qs directly requires oxygen consumption and hemoglobin, which are hard to obtain reliably at the bedside. Because those terms appear in both the Qp and Qs equations of the Fick principle, they cancel out algebraically, leaving a shortcut that uses only oxygen saturations measured during cardiac catheterization:

  • Qp/Qs = (SaO2 - SmvO2) / (SpvO2 - SpaO2)
  • SaO2: systemic arterial oxygen saturation.
  • SmvO2: mixed venous oxygen saturation, commonly estimated as (3 x SVC saturation + IVC saturation) / 4 because superior and inferior vena cava blood does not mix evenly in the right atrium.
  • SpvO2: pulmonary vein oxygen saturation (often assumed near 95-98% when not directly sampled).
  • SpaO2: pulmonary artery oxygen saturation.

Interpreting the ratio

A Qp/Qs near 1.0 means no significant net shunt. A ratio above 1.0 indicates a left-to-right shunt: extra blood is recirculating through the lungs before returning to the systemic circulation. As a general reference, 1.0-1.5 is often described as a small, hemodynamically insignificant shunt, 1.5-2.0 as moderate, and above 2.0 as large - large left-to-right shunts are more likely to be considered for surgical or catheter closure. A ratio below 1.0 indicates a right-to-left shunt, where some deoxygenated systemic venous blood bypasses the lungs entirely; this pattern is always clinically significant and can cause cyanosis.

When to consult a professional

This tool performs the standard saturation-based Qp/Qs arithmetic for education and reference. It does not diagnose a shunt lesion or determine treatment. Any decision about catheterization, medication, or surgical closure should be made by a cardiologist using the full clinical picture, imaging, and hemodynamic data.

Frequently Asked Questions

What does the Qp/Qs ratio measure?
Qp/Qs compares pulmonary blood flow (Qp) to systemic blood flow (Qs). In a normal heart with no shunt the two flows are equal, so Qp/Qs is about 1.0. A ratio above 1.0 means extra blood is recirculating through the lungs, indicating a left-to-right shunt (as in an atrial septal defect, ventricular septal defect, or patent ductus arteriosus). A ratio below 1.0 means some systemic venous blood is bypassing the lungs, indicating a right-to-left shunt.
How is Qp/Qs calculated from oxygen saturations?
The standard saturation-based formula is Qp/Qs = (SaO2 - SmvO2) / (SpvO2 - SpaO2), where SaO2 is systemic arterial saturation, SmvO2 is mixed venous saturation, SpvO2 is pulmonary vein saturation, and SpaO2 is pulmonary artery saturation. This shortcut comes from the Fick principle: because oxygen consumption and hemoglobin appear in both the Qp and Qs equations, those terms cancel, leaving only the four saturation values.
Why use SVC and IVC saturations to estimate mixed venous oxygen?
Blood from the superior vena cava (SVC) and inferior vena cava (IVC) does not mix evenly in the right atrium, so a single venous sample can misrepresent true mixed venous saturation. A common estimate weights the two: mixed venous O2 = (3 x SVC saturation + IVC saturation) / 4. This weighting favors SVC blood, which mixes more thoroughly with right atrial flow, and is a widely used substitute when a true pulmonary artery mixed sample is not available.
What Qp/Qs value indicates a significant shunt?
As a general guide, values from about 1.0 to 1.5 are often considered a small, hemodynamically insignificant left-to-right shunt, 1.5 to 2.0 a moderate shunt, and above 2.0 a large shunt that is more likely to warrant closure. A ratio below 1.0 signals a right-to-left shunt, which is always clinically significant. These are general reference bands, not a diagnosis - shunt lesions are managed by a cardiologist using the full clinical picture.