Lumped parameter model for hemodynamic simulation of congenital heart diseases
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The recent development of computer technology has made it possible to simulate the hemodynamics of congenital heart diseases on a desktop computer. However, multi-scale modeling of the cardiovascular system based on computed tomographic and magnetic resonance images still requires long simulation times. The lumped parameter model is potentially beneficial for real-time bedside simulation of congenital heart diseases. In this review, we introduce the basics of the lumped parameter model (time-varying elastance chamber model combined with modified Windkessel vasculature model) and illustrate its usage in hemodynamic simulation of congenital heart diseases using examples such as hypoplastic left heart syndrome and Fontan circulation. We also discuss the advantages of the lumped parameter model and the problems for clinical use.
KeywordsLumped parameter model Time-varying elastance Windkessel model Congenital heart diseases Hemodynamic simulation
A part of this paper was presented at an award presentation at the 94th Annual Meeting of the Physiological Society of Japan, 2017.
Compliance with ethical standards
This paper has been supported in part by a bounty of Hiroshi and Aya Irisawa Memorial Award for Excellent Papers on Research in Circulation in The Journal of Physiological Sciences.
Conflict of interest
The authors declare that they have no conflicts of interest.
This paper was written focused on computational simulations. Therefore, there was no ethical approval.
- 1.Baker CE, Corsini C, Cosentino D, Dubini G, Pennati G, Migliavacca F, Hsia TY, Modeling of Congenital Hearts Alliance (MOCHA) Investigators (2013) Effects of pulmonary artery banding and retrograde aortic arch obstruction on the hybrid palliation of hypoplastic left heart syndrome. J Thorac Cardiovasc Surg 146:1341–1348CrossRefGoogle Scholar
- 2.Riesenkampff E, Rietdorf U, Wolf I, Schnackenburg B, Ewert P, Huebler M, Alexi-Meskishvili V, Anderson RH, Engel N, Meinzer HP, Hetzer R, Berger F, Kuehne T (2009) The practical clinical value of three-dimensional models of complex congenitally malformed hearts. J Thorac Cardiovasc Surg 138:571–580CrossRefGoogle Scholar
- 3.Corsini C, Baker C, Kung E, Schievano S, Arbia G, Baretta A, Biglino G, Migliavacca F, Dubini G, Pennati G, Marsden A, Vignon-Clementel I, Taylor A, Hsia TY, Dorfman A, Modeling of Congenital Hearts Alliance (MOCHA) Investigators (2014) An integrated approach to patient-specific predictive modeling for single ventricle heart palliation. Comput Methods Biomech Biomed Engin 17:1572–1589CrossRefGoogle Scholar
- 9.Santamore WP, Burkhoff D (1991) Hemodynamic consequences of ventricular interaction as assessed by model analysis. Am J Physiol 260:H146–H157Google Scholar
- 10.Burkhoff D, Alexander J Jr, Schipke J (1988) Assessment of Windkessel as a model of aortic input impedance. Am J Physiol 255:H742–H753Google Scholar
- 16.Recordati G (1999) The contribution of the giraffe to hemodynamic knowledge: a unified physical principle for the circulation. Cardiologia 44:783–789Google Scholar
- 17.Mroczek T, Małota Z, Wójcik E, Nawrat Z, Skalski J (2011) Norwood with right ventricle-to-pulmonary artery conduit is more effective than Norwood with Blalock–Taussig shunt for hypoplastic left heart syndrome: mathematic modeling of hemodynamics. Eur J Cardiothorac Surg 40:1412–1417Google Scholar
- 19.Jacobs JP, Mayer JE Jr, Mavroudis C, O’Brien SM, Austin EH 3rd, Pasquali SK, Hill KD, Overman DM, St Louis JD, Karamlou T, Pizarro C, Hirsch-Romano JC, McDonald D, Han JM, Becker S, Tchervenkov CI, Lacour-Gayet F, Backer CL, Fraser CD, Tweddell JS, Elliott MJ, Walters H 3rd, Jonas RA, Prager RL, Shahian DM, Jacobs ML (2017) The Society of Thoracic Surgeons congenital heart surgery database: 2017 update on outcomes and quality. Ann Thorac Surg 103:699–709CrossRefGoogle Scholar
- 21.Shimizu S, Une D, Shishido T, Kamiya A, Kawada T, Sano S, Sugimachi M (2011) Norwood procedure with non-valved right ventricle to pulmonary artery shunt improves ventricular energetics despite the presence of diastolic regurgitation: a theoretical analysis. J Physiol Sci 61:457–465CrossRefGoogle Scholar
- 30.Koeken Y, Arts T, Delhaas T (2012) Simulation of the Fontan circulation during rest and exercise. Conf Proc IEEE Eng Med Biol Soc 2012:6673–6676Google Scholar
- 36.Laser KT, Horst JP, Barth P, Kelter-Klöpping A, Haas NA, Burchert W, Kececioglu D, Körperich H (2014) Knowledge-based reconstruction of right ventricular volumes using real-time three-dimensional echocardiographic as well as cardiac magnetic resonance images: comparison with a cardiac magnetic resonance standard. J Am Soc Echocardiogr 27:1087–1097CrossRefGoogle Scholar
- 37.Pochet T, Gerard P, Marnette JM, D’Orio V, Marcelle R, Fatemi M, Fossion A, Juchmes J (1992) Identification of three-element Windkessel model: comparison of time and frequency domain techniques. Arch Int Physiol Biochim Biophys 100:295–301Google Scholar
- 39.Toorop GP, Westerhof N, Elzinga G (1987) Beat-to-beat estimation of peripheral resistance and arterial compliance during pressure transients. Am J Physiol 252:H1275–H1283Google Scholar
- 42.Segers P, Rietzschel ER, De Buyzere ML, Stergiopulos N, Westerhof N, Van Bortel LM, Gillebert T, Verdonck PR (2008) Three- and four-element Windkessel models: assessment of their fitting performance in a large cohort of healthy middle-aged individuals. Proc Inst Mech Eng H 222:417–428CrossRefGoogle Scholar