Qs/Qt = (CcO2 - CaO2) / (CcO2 - CvO2)
where
Qs/Qt = shunt fraction (shunt flow divided by total cardiac output)
CcO2 = pulmonary end-capillary O2 content, same as alveolar O2 content
CaO2 = arterial O2 content
CvO2 = mixed venous O2 content
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Sven M. Berggren. "The Oxygen Deficit of Arterial Blood Caused by Non-ventilating Parts of the Lung" 1942; Volume 11 of Acta Physiologica Scandinavica: 4; Supplementum 11.
Bigeleisen, Paul E. "Models of venous admixture." Advances in physiology education 25.3 (2001): 159-166.
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Niklason, Lisbet, Johannes Eckerström, and Björn Jonson. "The influence of venous admixture on alveolar dead space and carbon dioxide exchange in acute respiratory distress syndrome: computer modelling." Critical care 12.2 (2008): R53.
Cavaliere, Franco, et al. "Effects of acid-base abnormalities on blood capacity of transporting CO 2: adverse effect of metabolic acidosis." Intensive care medicine 28.5 (2002): 609-615.
Said, Sami I., and Chandra M. Banerjee. "Venous admixture to the pulmonary circulation in human subjects breathing 100 per cent oxygen." The Journal of clinical investigation 42.4 (1963): 507-515.
Sven M. Berggren. "The Oxygen Deficit of Arterial Blood Caused by Non-ventilating Parts of the Lung" 1942; Volume 11 of Acta Physiologica Scandinavica: 4; Supplementum 11.
Bigeleisen, Paul E. "Models of venous admixture." Advances in physiology education 25.3 (2001): 159-166.
Bigeleisen, Paul E. "Models of venous admixture." Advances in physiology education 25.3 (2001): 159-166.
Cruz, Julio C., and Patricia J. Metting. "Understanding the meaning of the shunt fraction calculation." Journal of clinical monitoring 3.2 (1987): 124-134.
Berggren SM. The oxygen deficit of arterial blood caused by nonventilating parts of the lung. Acta Physiol Scand 1942; 4:Suppl 11:1-92
Hughes, R. L. Clode M, Edwards RH, Goodwin TJ, and Jones NL. "Glossary on respiration and gas exchange" American Journal of Physiology: 34:4, 336-347.
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SIGGAARD‐ANDERSEN, Ole, and Ivar H. Gøthgen. "Oxygen and acid‐base parameters of arterial and mixed venous blood, relevant versus redundant."Acta Anaesthesiologica Scandinavica 39.s107 (1995): 21-27.
Aboab, Jerome, et al. "Relation between PaO2/FIO2 ratio and FIO2: a mathematical description." Applied Physiology in Intensive Care Medicine. Springer Berlin Heidelberg, 2006. 41-44.
Sven M. Berggren. "The Oxygen Deficit of Arterial Blood Caused by Non-ventilating Parts of the Lung" 1942; Volume 11 of Acta Physiologica Scandinavica: 4; Supplementum 11. -again, this does not seem to be available anywhere as a full text, which is upsetting because this seminal work is worth preserving.
Forsgren, P., S. Jakobson, and J. Modig. "True shunt in relation to venous admixture in an experimental porcine model of early ARDS." Acta anaesthesiologica Scandinavica 33.8 (1989): 621-628.
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Ming, Damien KY, et al. "The ‘anatomic shunt test’in clinical practice; contemporary description of test and in-service evaluation." Thorax 69.8 (2014): 773-775.
Hopkins, Susan R., and Peter D. Wagner. The Multiple Inert Gas Elimination Technique (MIGET). Springer US, 2017.
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Wagner, Peter D., et al. "Continuous distributions of ventilation-perfusion ratios in normal subjects breathing air and 100% O 2." The Journal of clinical investigation 54.1 (1974): 54-68.
Said, Sami I., and Chandra M. Banerjee. "Venous admixture to the pulmonary circulation in human subjects breathing 100 per cent oxygen." The Journal of clinical investigation 42.4 (1963): 507-515.