Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation (original) (raw)
Alastruey J, Parker KH, Peiro J, Byrd SM, Sherwin SJ (2007) Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. J Biomech 40:1794–1805 Article Google Scholar
Alastruey J, (2011) Numerical assessment of time-domain methods for estimation of local arterial pulse wave speed. J Biomech 44:885–891 Google Scholar
Attinger EO (1963) Pressure transmission in pulmonary arteries related to frequency and geometry. Circ Res 12(6):623–641 Article Google Scholar
Azer K, Peskin CS (2007) A one-dimensional model of blood flow in arteries with friction and convection based on the womersley velocity profile. Cardiovasc Eng 7(2):51–73 Article Google Scholar
Barnes PJ, Liu SF (1995) Regulation of pulmonary vascular tone. Pharmacol Rev 47:87–131 Google Scholar
Barst RJ, McGoon M, Torbicki A, Sitbon O, Krowka MJ, Olschewski H, Gaine S (2004) Diagnosis and differential assessment of pulmonary arterial hypertension. J Am Coll Cardiol 43:40S–47S Article Google Scholar
Bovendeerd PH, Borsje P, Arts T, van de Vosse FN (2006) Dependence of intramyocardial pressure and coronary flow on ventricular loading and contractility: a model study. Ann Biomed Eng 34:1833–1845 Article Google Scholar
Burton AC (1972) Physiology and biophysics of the circulation. Year Book Medical Publishers, Chicago, IL, pp 86–94 Google Scholar
Castelain V, Herve P, Lecarpentier Y, Duroux P, Simonneau G, Chemla D (2001) Pulmonary artery pulse pressure and wave reflection in chronic pulmonary thromboembolism and primary pulmonary hypertension. J Am Coll Cardiol 7:1085–1092 Article Google Scholar
Clipp RB, Steele BN (2009) Impedance boundary conditions for the pulmonary vasculature including the effects of geometry, compliance, and respiration. IEEE Trans Biomed Eng 56:862–870 Article Google Scholar
Clipp RB, Steele BN (2012) An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model. Math Biosci Eng 9:61–74 ArticleMATHMathSciNet Google Scholar
Cousins W, Gremaud PA (2012) Boundary conditions for hemodynamics: The structured tree revisited. J Comp Phys 231:6086–6096 Google Scholar
Cousins W, Gremaud PA, Tartakovsky DM (2013) A new physiological boundary condition for hemodynamics. SIAM J Appl Math 3(73):1203–1233 ArticleMathSciNet Google Scholar
Dartevelle P, Fadell E, Mussot S, Chapelier A, Hervel P, de Perrot M, Cerrinal J, Laduriel FL, Lehouerou D, Humbert M, Sitbon O, Simonneau G (2004) Chronic thromboembolic pulmonary hypertension. Eur Respir J 23:637–648 Article Google Scholar
Evans RL, Pelley JW, Quenemoen L (1960) Some simple geometric and mechanical characteristics of mammalian blood vessels. Am J Physiol 199:1150–1152 Google Scholar
Figueroa CA, Vignon-Clementel IE, Jansen KE, Hughes T, Taylor CA (2006) A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Comput Methods Appl Mech Eng 195:5685–5706 ArticleMATHMathSciNet Google Scholar
Fonseca GH, Souza R, Salemi VM, Jardim CV, Gualandro SF (2012) Pulmonary hypertension diagnosed by right heart catheterization in sickle cell disease. Eur Respir J 39(1):112–8 Article Google Scholar
Formaggia L, Lamponi D, Tuveri M, Veneziani A (2006) Numerical modelling of 1D networks coupled with a lumped parameters description of the heart. Comput Methods Biomech Biomed Eng 9:273–288 Article Google Scholar
Fung YC (1996) Biomechanics: circulation, 2nd edn. Springer, New York Google Scholar
Gao Y, Raj UJ (2005) Role of veins in regulation of pulmonary circulation. Am J Physiol Lung Cell Mol Physiol 288:L213–L226 Article Google Scholar
Greenfield JC, Douglas MG (1963) Relation between pressure and diameter in main pulmonary artery of man. J Appl Physiol 18:557–559 Google Scholar
Hachulla E, Gressin V, Guillevin L et al (2005) Early detection of pulmonary arterial hypertension in systemic sclerosis: a French nationwide prospective multicenter study. Arthritis Rheum 52:3792–3800 Article Google Scholar
Hall JE (2011) Guyton and Hall textbook of medical physiology, 12th edn. Saunders Elsevier, Philadelphia Google Scholar
Herve P, Musset D, Simonneau G, Wagner W Jr, Duroux P (1989) Almitrine decreases the distensibility of the large pulmonary arteries in man. Chest 96:572–577 Article Google Scholar
Hollander EH, Wang JJ, Dobson GM, Parker KH, Tyberg JV (2001) Negative wave reflections in pulmonary arteries. Am J Physiol Heart Circ Physiol 281:H895–902 Google Scholar
Huang W, Yen RT, McLaurine M, Bledsoe G (1996) Morphometry of the human pulmonary vasculature. J Appl Physiol 81:2123–2133 Google Scholar
Huo Y, Kassab GS (2007) A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree. Am J Physiol Heart Circ Physiol 292:H2623–H2633 Article Google Scholar
Kato R, Lickfett L, Meininger G, Dickfeld T, Wu R, Juang G, Angkeow P, LaCorte J, Bluemke D, Berger R, Halperin HR, Calkins H (2003) Pulmonary vein anatomy in patients undergoing catheter ablation of atrial fibrillation. Lessons learned by use of magnetic resonance imaging. Circulation 107:2004–2010 Article Google Scholar
Kawahira Y, Kishimoto H, Kawata H, Ikawa S, Ueda H, Nakajima T, Kayatani F, Inamura N, Nakada T (1997) Diameters of the pulmonary arteries and veins as an indicator of bilateral and unilateral pulmonary blood flow in patients with congenital heart disease. J Card Surg 12:253–260 Article Google Scholar
Kim YH, Marom EM, Herndon JE, McAdams HP (2005) Pulmonary vein diameter, cross-sectional area, and shape: CT analysis. Radiology 235:43–50 Article Google Scholar
Krenz GS, Dawson CA (2003) Flow and pressure distributions in vascular networks consisting of distensible vessels. Am J Physiol 284:H2192–H2203 Google Scholar
Lankhaar JW, Westerhof N, Faes TJC, Marques KMJ, Marcus JT, Post-mus PE, Vonk-Noordegraaf A (2006) Quantification of right ventricular afterload in patients with and without pulmonary hypertension. Am J Physiol Heart Circ Physiol 291:H1731–H1737 Article Google Scholar
Levy BI, Ambrosio G, Pries AR, Struijker-Boudier HA (2001) Microcirculation in hypertension: a new target for treatment? Circulation 104(6):735–740 Article Google Scholar
Li CW, Cheng HD (1993) A nonlinear fluid model for pulmonary blood circulation. J Biomech 26:653–664 Article Google Scholar
Machado RF, Gladwin MT (2010) Pulmonary hypertension in hemolytic disorders: pulmonary vascular disease: the global perspective. Chest 137:30S–38S Article Google Scholar
Matthys KS, Alastruey J, Peiro J, Khir AW, Segers P, Verdonck PR, Parker KH, Sherwin SJ (2007) Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulations against in vitro measurements. J Biomech 40:3476–3486 Article Google Scholar
Milnor WR (1989) Hemodynamics, 2nd edn. Williams and Wilkins, Baltimore Google Scholar
Mukerjee D, George D, St Coleiro B et al (2003) Prevalence and outcome in systemic sclerosis associated pulmonary arterial hypertension: application of a registry approach. Ann Rheum Dis 62:1088–1093 Article Google Scholar
Müller LO, Toro EF (2014) A global multi-scale mathematical model for the human circulation with emphasis on the venous system. Int J Num Methods Bio Med Eng. doi:10.1002/cnm.2622
Nichols WW, O’Rourke MF (1998) MacDonald’s blood flow in arteries: theoretical, experimental and clinical principles, 4th edn. Edward Arnold, Philadelphia Google Scholar
Olufsen MS (1998) Modeling the arterial system with reference to an anesthesia simulator. PhD Thesis, Department of Mathematics, Roskilde University, Denmark
Olufsen MS (1999) Structured tree outflow condition for blood flow in larger systemic arteries. Am J Physiol Heart Circ Physiol 276:H257–H268 Google Scholar
Olufsen MS, Peskin CS, Kim WY, Pedersen EM, Nadim A (2000) Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann Biomed Eng 28:1281–1299 Article Google Scholar
Olufsen MS, Hill NA, Vaughan GDA, Sainsbury C, Johnson M (2012) Rarefaction and blood pressure in systemic and pulmonary arteries. J Fluid Mech 705:280–305 ArticleMATHMathSciNet Google Scholar
Patel DJ, Schilder DP, Mallos AJ (1960) Mechanical properties and dimensions of major pulmonary arteries. J Appl Physiol 15:92–106 Google Scholar
Patel DJ, De Freitas FM, Mallos AJ (1962) Mechanical function of the main pulmonary artery. J Appl Physiol 17:205–208 Google Scholar
Peacock AJ, Rubin LJ (2004) Pulmonary circulation: diseases and their treatment, 2nd edn. Hodder Arnold Publication, London Google Scholar
Peacock AJ, Murphy NF, McMurray JJV et al (2007) An epidemiological study of pulmonary arterial hypertension. Eur Respir J 30:104–109 Article Google Scholar
Peskin E (1961) Transient and steady-state analysis of electric networks. Van Nostrand Company, Princeton, NJ, pp 304–378 Google Scholar
Pollanen MS (1992) Dimensional optimization at different levels at the arterial hierarchy. J Theor Biol 159:267–270 Article Google Scholar
Pries AR, Secomb TW, Gaehtgens P (1995) Design principles of vascular beds. Circ Res 77:1017–1023 Article Google Scholar
Reeves JT, Linehan JH, Stenmark KR (2005) Distensibility of the normal human lung circulation during exercise. Am J Physiol Lung Cell Mol Physiol 288:L419–L425 Article Google Scholar
Reymond P, Merenda F, Perren F, Rüfenacht D, Stergiopulos N (2009) Validation of a one-dimensional model of the systemic arterial tree. Am J Physiol Heart Circ Physiol 297:H208–H222 Article Google Scholar
Sherwin SJ, Franke V, Perio J, Parker K (2003) One-dimensional modelling of a vascular network in space-time variables. J Eng Math 47:217–250 ArticleMATH Google Scholar
Simonneau G, Galle N, Rubin LJ, Langleben D, Seeger W, Domenighetti G, Gibbs S, Lebrec D, Speich R, Beghetti M, Rich S, Fishman A (2004) Clinical classification of pulmonary hypertension. J Am Coll Cardiol 43:5–12 Article Google Scholar
Singhal S, Henderson R, Horsfield K, Harding K, Cumming G (1973) Morphometry of the human pulmonary arterial tree. Circ Res 33:190–197 Article Google Scholar
Sitbon O, Lascoux-Combe C, Delfraissy JF et al (2008) Prevalence of HIV-related pulmonary arterial hypertension in the current antiretroviral therapy era. Am J Respir Crit Care Med 177:108–111 Article Google Scholar
Steele BN, Olufsen MS, Taylor CA (2007) Fractal network model for simulating abdominal and lower extremity blood flow during resting and exercise conditions. Comput Methods Biomech Biomed Eng 10:39–51 Article Google Scholar
Suwa N, Niwa T, Fukasawa H, Sasaki Y (1963) Estimation of intravascular blood pressure gradients by mathematical analysis of arterial casts. Tohoku J Exp Med 79:168–198 Article Google Scholar
Taylor CA, Draney MT, Ku JP, Parker D, Steele BN et al (1999) Predictive medicine: computational techniques in therapeutic decision-making. Comput Aided Surg 4:231–247 Article Google Scholar
Thurlbeck WM, Churg AM (1995) Pathology of the lungs, 2nd edn. Thieme Medical Publishers, New York Google Scholar
Tuder RM, Yun JH, Bhunia A, Fijalkowska I (2007) Hypoxia and chronic lung disease. J Mol Med 85:1317–1324 Article Google Scholar
Uylings HBM (1977) Optimization of diameters and bifurcation angles in lung and vascular tree structures. Bull Math Biol 39:509–520 ArticleMATH Google Scholar
Valdez-Jasso D, Haider MA, Campbell AL, Bia D, Zocalo Y, Armentano RL, Olufsen MS (2009) Modeling viscoelastic wall properties of ovine arteries. In: Proceedings of ASME 2009, summer bioengineering conference SBC2009-205640
Vaughan GDA (2010) Pulse propagation in the pulmonary and systemic arteries. PhD Thesis, Faculty of Information and Mathematical Sciences, University of Glasgow, UK
Vignon-Clementel IE, Figueroa CA, Jansen KE, Taylor CA (2006) Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng 195:3776–3796 ArticleMATHMathSciNet Google Scholar
van de Vosse FN, Stergiopulos N (2011) Pulse wave propagation in the arterial tree. Annu Rev Fluid Mech 43:467–499 Article Google Scholar
Weibel ER (2009) What makes a good lung? The morphometric basis of lung function. Swiss Med Wkly 139:375–386 Google Scholar
Xiao N, Humphrey JD, Figueroa CA (2013) Multi-scale computational model of three-dimensional hemodynamics within a deformable full-body arterial network. J Comput Phys 244:22–40 ArticleMathSciNet Google Scholar
Yen RT, Rong Z, Zhang B (1990) Elasticity of pulmonary blood vessels in human lungs. In: Farrell Epstein MA, Ligas JR (eds) Respiratory biomechanics: engineering analysis of structure and function. Springer, New York, pp 109–116
Yen RT, Sobin SS (1988) Elasticity of arterioles and venules in postmortem human lungs. J Appl Physiol 64(2):611–619 Google Scholar
Zhuang FY, Fung YC, Yen RT (1983) Analysis of blood flow in cats lung with detailed anatomical and elasticity data. J Appl Physiol 55(4):1341–1348 Google Scholar
Zhuang FY, Fung YC, Yen RT (1983) Analysis of blood flow in cats lung with detailed anatomical and elasticity data. J Appl Physiol 55(4):1341–1348 Google Scholar