Bernoulli in the Operating Room: From the Perspective of a Cardiac Surgeon

Abstract

The Bernoullis were one of the most distinguished families in the history of science. It was Daniel Bernoulli who applied mathematical physics to medicine to further his understanding of physiological mechanisms that have an impact even in today's high-end medicine. His masterwork was the analysis of fluid dynamics, which resulted in Bernoulli's law. Most important for cardiac surgery, it describes how a centrifugal pump works within an extracorporeal circulation, lays the basis for measuring a gradient over a stenotic heart valve, and explains how to measure the transit time flow within a bypass graft.

Keywords

history - heart valve surgery - cardiopulmonary bypass

• References

• 1 Speiser D. Die Werke von Daniel Bernoulli. Band 1. Basel, Switzerland: Birkhäuser Verlag; 1996
• 2 Tent MBW. Leonard Euler and the Bernoullis: Mathematicians from Basel. MA, USA: AK Peters Ltd.; 2009
• 3 Nagel F, Verdun A. Geschickte Leute, die was praestiren können. Herzogenrath, Germany: Shaker Verlag; 2005
• 4 Bernoulli D. Dissertatio Inauguralis Physico-Medica De Respiratione. University of Basel; 1721
• 5 Harvey W. Exercitatio Anatomica de Motu Cordis et Sanguinis in Animalibus. Francofurti; 1628
• 6 Bernoulli D. Exercitationes Quaedam Mathematicae. Venetiis; 1724
• 7 Darrigol O. Worlds of Flow. Oxford: Oxford University Press; 2005
• 8 Bernoulli D. Hydrodynamica, sive De Viribus et Motibus Fluidorum Commentarii. Basiliensis; 1738
• 9 Bernoulli D. Recherches sur la Maniere la plus Avantageuse de Suppléer à l'action du Vent sur les Grand Vaisseaux. Paris: Prix; 1753: 3-99
• 10 Immer FF, Ackermann A, Gygax E , et al. Minimal extracorporeal circulation is a promising technique for coronary artery bypass grafting. Ann Thorac Surg 2007; 84 (5) 1515-1520 , discussion 1521
• 11 Pagani FD. Continuous-flow rotary left ventricular assist devices with “3rd generation” design. Semin Thorac Cardiovasc Surg 2008; 20 (3) 255-263
• 12 Jokinen JJ, Werkkala K, Vainikka T, Peräkylä T, Simpanen J, Ihlberg L. Clinical value of intra-operative transit-time flow measurement for coronary artery bypass grafting: a prospective angiography-controlled study. Eur J Cardiothorac Surg 2011; 39 (6) 918-923
• 13 Bonow: Braunwald's Heart Disease—A Textbook of Cardiovascular Medicine. 9th ed. Philadelphia, PA: W. B. Elsevier Saunders; 2011
• 14 Shapiro LM, Kenny A. Echokardiographie. Berne, Switzerland: Hans Huber Verlag; 2002
• 15 Kirklin/Barratt-Boyes Cardiac Surgery. 4th ed. Philadelphia, PA: W.B. Elsevier Saunders; 2013
• 16 Doenst T, Amorim PA, Al-Alam N, Lehmann S, Mukherjee C, Faerber G. Where is the common sense in aortic valve replacement? A review of hemodynamics and sizing of stented tissue valves. J Thorac Cardiovasc Surg 2011; 142 (5) 1180-1187
• 17 Yoganathan AP, He Z, Casey Jones S. Fluid mechanics of heart valves. Annu Rev Biomed Eng 2004; 6: 331-362
• 18 Williams K. Two Cultures. Essays in Honour of David Speiser. Basel, Switzerland: Birkhäuser Verlag; 2000