The law of Laplace. Its limitations as a relation for diastolic pressure, volume, or wall stress of the left ventricle.
1980; Lippincott Williams & Wilkins; Volume: 46; Issue: 3 Linguagem: Inglês
10.1161/01.res.46.3.321
ISSN1524-4571
Autores Tópico(s)Cardiovascular Function and Risk Factors
ResumoHomeCirculation ResearchVol. 46, No. 3The law of Laplace. Its limitations as a relation for diastolic pressure, volume, or wall stress of the left ventricle. Free AccessAbstractPDF/EPUBAboutView PDFSections ToolsAdd to favoritesDownload citationsTrack citationsPermissions ShareShare onFacebookTwitterLinked InMendeleyRedditDiggEmail Jump toFree AccessAbstractPDF/EPUBThe law of Laplace. Its limitations as a relation for diastolic pressure, volume, or wall stress of the left ventricle. T F Moriarty T F MoriartyT F Moriarty Originally published1 Mar 1980https://doi.org/10.1161/01.RES.46.3.321Circulation Research. 1980;46:321–331 Previous Back to top Next FiguresReferencesRelatedDetailsCited By Wang H, Bennett-Kennett R, Paulsen M, Hironaka C, Thakore A, Farry J, Eskandari A, Lucian H, Shin H, Wu M, Imbrie-Moore A, Steele A, Stapleton L, Zhu Y, Dauskardt R and Woo Y (2020) Multiaxial Lenticular Stress-Strain Relationship of Native Myocardium is Preserved by Infarct-Induced Natural Heart Regeneration in Neonatal Mice, Scientific Reports, 10.1038/s41598-020-63324-w, 10:1, Online publication date: 1-Dec-2020. Wang R and Christman K (2020) Injectable biopolymers in the treatment of heart failure and cardiac remodeling Emerging Technologies for Heart Diseases, 10.1016/B978-0-12-813706-2.00017-8, (333-355), . Kambe Y and Yamaoka T (2019) Biodegradation of injectable silk fibroin hydrogel prevents negative left ventricular remodeling after myocardial infarction, Biomaterials Science, 10.1039/C9BM00556K, 7:10, (4153-4165) Kuznetsova T and Cauwenberghs N (2019) Hemodynamic Mechanisms Hypertension and Heart Failure, 10.1007/978-3-319-93320-7_4, (59-70), . Gsell M, Augustin C, Prassl A, Karabelas E, Fernandes J, Kelm M, Goubergrits L, Kuehne T and Plank G (2018) Assessment of wall stresses and mechanical heart power in the left ventricle: Finite element modeling versus Laplace analysis, International Journal for Numerical Methods in Biomedical Engineering, 10.1002/cnm.3147, 34:12, Online publication date: 1-Dec-2018. Mohseni Z, Spaanderman M, Oben J, Calore M, Derksen E, Al-Nasiry S, de Windt L and Ghossein-Doha C (2018) Cardiac remodeling and pre-eclampsia: an overview of microRNA expression patterns, Ultrasound in Obstetrics & Gynecology, 10.1002/uog.17516, 52:3, (310-317), Online publication date: 1-Sep-2018. Wang X, Su L, Yang R, Zhang H and Liu D (2018) Myocardial strain/stress changes identified by echocardiography may reveal early sepsis-induced myocardial dysfunction, Journal of International Medical Research, 10.1177/0300060517737434, 46:4, (1439-1454), Online publication date: 1-Apr-2018. Córdova Aquino J and Medellín-Castillo H (2018) Analysis of the influence of modelling assumptions on the prediction of the elastic properties of cardiac fibres, Computer Methods in Biomechanics and Biomedical Engineering, 10.1080/10255842.2018.1502279, 21:10, (601-615), Online publication date: 27-Jul-2018. Muangkram Y, Noma A and Amano A (2017) A new myofilament contraction model with ATP consumption for ventricular cell model, The Journal of Physiological Sciences, 10.1007/s12576-017-0560-x, 68:5, (541-554), Online publication date: 1-Sep-2018. Collum S, Amione-Guerra J, Cruz-Solbes A, DiFrancesco A, Hernandez A, Hanmandlu A, Youker K, Guha A and Karmouty-Quintana H (2017) Pulmonary Hypertension Associated with Idiopathic Pulmonary Fibrosis: Current and Future Perspectives, Canadian Respiratory Journal, 10.1155/2017/1430350, 2017, (1-12), . Utaki H, Taniguchi K, Konishi H, Himeno Y and Amano A (2016) A Method for Determining Scale Parameters in a Hemodynamic model incorporating Cardiac Cellular Contraction model, Advanced Biomedical Engineering, 10.14326/abe.5.32, 5:0, (32-42), . Badagliacca R, Poscia R, Pezzuto B, Papa S, Pesce F, Manzi G, Giannetta E, Raineri C, Schina M, Sciomer S, Parola D, Francone M, Carbone I, Fedele F and Vizza C (2016) Right ventricular concentric hypertrophy and clinical worsening in idiopathic pulmonary arterial hypertension, The Journal of Heart and Lung Transplantation, 10.1016/j.healun.2016.04.006, 35:11, (1321-1329), Online publication date: 1-Nov-2016. Taniguchi K, Utaki H, Yamamoto D, Himeno Y and Amano A (2016) Influence of Activation Time on Hemodynamic Parameters: a Simulation Study, Advanced Biomedical Engineering, 10.14326/abe.5.94, 5:0, (94-104), . Ghista D, Sandler H and Mirsky I (2016) Left Ventricular Wall Stress Compendium to Analyze Heart Function Cardiology Science and Technology, 10.1201/b18553-3, (3-46), Online publication date: 4-May-2016. Uematsu M (2015) Speckle Tracking Echocardiography – Quo Vadis? –, Circulation Journal, 10.1253/circj.CJ-15-0049, 79:4, (735-741), . Li J, Zhu K, Yang S, Wang Y, Guo C, Yin K, Wang C and Lai H (2015) Fibrin patch-based insulin-like growth factor-1 gene-modified stem cell transplantation repairs ischemic myocardium, Experimental Biology and Medicine, 10.1177/1535370214556946, 240:5, (585-592), Online publication date: 1-May-2015. Xiong Q, Zhang P, Guo J, Swingen C, Jang A and Zhang J (2015) Myocardial ATP hydrolysis rates in vivo: a porcine model of pressure overload-induced hypertrophy, American Journal of Physiology-Heart and Circulatory Physiology, 10.1152/ajpheart.00072.2015, 309:3, (H450-H458), Online publication date: 1-Aug-2015. Hilgemann D (2014) Cardiac Electrophysiology Delivered a "Grand Slam" by Angiotensin II: The Third Explanation of Transmural Cardiac Electrical Activity Gradients, Biophysical Journal, 10.1016/j.bpj.2014.04.043, 106:11, (2288-2290), Online publication date: 1-Jun-2014. Zhong L, Ghista D and Tan R (2012) Left ventricular wall stress compendium, Computer Methods in Biomechanics and Biomedical Engineering, 10.1080/10255842.2011.569885, 15:10, (1015-1041), Online publication date: 1-Oct-2012. Zhang Z, Tendulkar A, Sun K, Saloner D, Wallace A, Ge L, Guccione J and Ratcliffe M (2011) Comparison of the Young-Laplace Law and Finite Element Based Calculation of Ventricular Wall Stress: Implications for Postinfarct and Surgical Ventricular Remodeling, The Annals of Thoracic Surgery, 10.1016/j.athoracsur.2010.06.132, 91:1, (150-156), Online publication date: 1-Jan-2011. Kalifa J and Yamazaki M (2011) Repolarization Alternans in Dilated Pulsing Atria, Journal of the American College of Cardiology, 10.1016/j.jacc.2011.08.021, 58:20, (2116-2117), Online publication date: 1-Nov-2011. Wenk J, Zhang Z, Cheng G, Sun K, Walker J, SalonerSaloner D, Ratcliffe M and Guccione J (2010) In Vivo Myocardial Material Properties and Stress Distributions in Normal and Failing Human Hearts Patient-Specific Modeling of the Cardiovascular System, 10.1007/978-1-4419-6691-9_8, (131-144), . GHISTA D, LIU L, CHUA L, ZHONG L, TAN R and TAN Y (2011) MECHANISM OF LEFT VENTRICULAR PRESSURE INCREASE DURING ISOVOLUMIC CONTRACTION, AND DETERMINATION OF ITS EQUIVALENT MYOCARDIAL FIBERS ORIENTATION, Journal of Mechanics in Medicine and Biology, 10.1142/S0219519409002924, 09:02, (177-198), Online publication date: 1-Jun-2009. Lee E, Kim D, Azeloglu E and Costa K (2008) Engineered Cardiac Organoid Chambers: Toward a Functional Biological Model Ventricle, Tissue Engineering Part A, 10.1089/tea.2007.0351, 14:2, (215-225), Online publication date: 1-Feb-2008. Ratcliffe M, Wallace A and Guccione J (2008) Ventricular Mechanics Sabiston and Spencer's Surgery of the Chest, 10.1016/B978-1-4160-5225-8.00050-7, (739-755), . Oostrom J, Kentgens S, Beneken J and Gravenstein J (2006) An Integrated Coronary Circulation Teaching Model, Journal of Clinical Monitoring and Computing, 10.1007/s10877-006-9025-0, 20:4, (235-242), Online publication date: 1-Aug-2006. Humphrey J (2002) The Normal, Mature Heart Cardiovascular Solid Mechanics, 10.1007/978-0-387-21576-1_10, (601-724), . Seymour R and Blaylock A (2000) The Principle of Laplace and Scaling of Ventricular Wall Stress and Blood Pressure in Mammals and Birds, Physiological and Biochemical Zoology, 10.1086/317741, 73:4, (389-405), Online publication date: 1-Jul-2000. Miyaji K, Sugiura S, Inaba H, Takamoto S and Omata S (2000) Myocardial tactile stiffness during acute reduction of coronary blood flow, The Annals of Thoracic Surgery, 10.1016/S0003-4975(99)01095-4, 69:1, (151-155), Online publication date: 1-Jan-2000. Shoucri R (2000) Active and passive stresses in the myocardium, American Journal of Physiology-Heart and Circulatory Physiology, 10.1152/ajpheart.2000.279.5.H2519, 279:5, (H2519-H2528), Online publication date: 1-Nov-2000. Rohde L, Aikawa M, Cheng G, Sukhova G, Solomon S, Libby P, Pfeffer J, Pfeffer M and Lee R (1999) Echocardiography-derived left ventricular end-systolic regional wall stress and matrix remodeling after experimental myocardial infarction, Journal of the American College of Cardiology, 10.1016/S0735-1097(98)00602-0, 33:3, (835-842), Online publication date: 1-Mar-1999. Miyaji K, Sugiura S, Omata S, Kaneko Y, Ohtsuka T and Takamoto S (1998) Myocardial Tactile Stiffness: A Variable of Regional Myocardial Function, Journal of the American College of Cardiology, 10.1016/S0735-1097(98)00063-1, 31:5, (1165-1173), Online publication date: 1-Apr-1998. Lin D and Yin F (1998) A Multiaxial Constitutive Law for Mammalian Left Ventricular Myocardium in Steady-State Barium Contracture or Tetanus, Journal of Biomechanical Engineering, 10.1115/1.2798021, 120:4, (504-517), Online publication date: 1-Aug-1998. Colan S (1997) MECHANICS OF LEFT VENTRICULAR SYSTOLIC AND DIASTOLIC FUNCTION IN PHYSIOLOGIC HYPERTROPHY OF THE ATHLETE'S HEART, Cardiology Clinics, 10.1016/S0733-8651(05)70345-3, 15:3, (355-372), Online publication date: 1-Aug-1997. Gupta K, Ratcliffe M, Fallert M, Edmunds L and Bogen D (1994) Changes in passive mechanical stiffness of myocardial tissue with aneurysm formation., Circulation, 89:5, (2315-2326), Online publication date: 1-May-1994. Chang Wen Chen , Huang T and Arrott M (1994) Modeling, analysis, and visualization of left ventricle shape and motion by hierarchical decomposition, IEEE Transactions on Pattern Analysis and Machine Intelligence, 10.1109/34.277589, 16:4, (342-356), Online publication date: 1-Apr-1994. Novak V, Yin F and Humphrey J (1994) Regional mechanical properties of passive myocardium, Journal of Biomechanics, 10.1016/0021-9290(94)90016-7, 27:4, (403-412), Online publication date: 1-Apr-1994. Pirolo J, Bresina S, Creswell L, Myers K, Szabó B, Vannier M and Pasque M (1993) Mathematical three-dimensional solid modeling of biventricular geometry, Annals of Biomedical Engineering, 10.1007/BF02368177, 21:3, (199-219), Online publication date: 1-May-1993. Colan S (2008) Noninvasive assessment of myocardial mechanics—a review of analysis of stress-shortening and stress-velocity, Cardiology in the Young, 10.1017/S1047951100000512, 2:1, (1-13), Online publication date: 1-Jan-1992. Colan S (1992) Mechanics of Left Ventricular Systolic and Diastolic Function in Physiologic Hypertrophy of the Athlete Heart, Cardiology Clinics, 10.1016/S0733-8651(18)30240-6, 10:2, (227-240), Online publication date: 1-May-1992. Humphrey J, Barazotto R and Hunter W (1992) Finite extension and torsion of papillary muscles: A theoretical framework, Journal of Biomechanics, 10.1016/0021-9290(92)90094-H, 25:5, (541-547), Online publication date: 1-May-1992. Colan S, Parness I, Spevak P and Sanders S (1992) Developmental modulation of myocardial mechanics: Age- and growth-related alterations in afterload and contractility, Journal of the American College of Cardiology, 10.1016/S0735-1097(10)80282-7, 19:3, (619-629), Online publication date: 1-Mar-1992. Creswell L, Wyers S, Pirolo J, Perman W, Vannier M and Pasque M (1992) Mathematical modeling of the heart using magnetic resonance imaging, IEEE Transactions on Medical Imaging, 10.1109/42.192695, 11:4, (581-589), Online publication date: 1-Jan-1992. Humphrey J, Strumpf R, Halperin H and Yin F (1991) Toward a Stress Analysis in the Heart Theory of Heart, 10.1007/978-1-4612-3118-9_3, (59-75), . Grimm A, Grimm B, Lin H, Parshall R and Tichy A (1991) Left ventricular shape-luminal pressure relationship An open-chest study, Basic Research in Cardiology, 10.1007/BF02191534, 86:4, (378-392), Online publication date: 1-Jul-1991. Guccione J and McCulloch A (1991) Finite Element Modeling of Ventricular Mechanics Theory of Heart, 10.1007/978-1-4612-3118-9_6, (121-144), . Pirolo J, Creswell L, Bresina S, Perman W, Szabo B, Myers K, Vannier M and Pasque M (1991) Regional myocardial stress distribution from magnetic resonance image-based mathematical models, The Annals of Thoracic Surgery, 10.1016/0003-4975(91)91352-V, 52:2, (276-284), Online publication date: 1-Aug-1991. Humphrey J and Yin F (1989) Constitutive relations and finite deformations of passive cardiac tissue II: stress analysis in the left ventricle., Circulation Research, 65:3, (805-817), Online publication date: 1-Sep-1989. Chandran K, Wagle V, Fisher D, Collins S, Rumberger J, McPherson D and Skorton D (1989) Finite Element Modeling of Left Ventricle, Journal of Engineering Mechanics, 10.1061/(ASCE)0733-9399(1989)115:8(1821), 115:8, (1821-1827), Online publication date: 1-Aug-1989. Humphrey J and Yin F (1989) Biomechanical experiments on excised myocardium: Theoretical considerations, Journal of Biomechanics, 10.1016/0021-9290(89)90052-3, 22:4, (377-383), Online publication date: 1-Jan-1989. Jacob R and Gülch R (1988) Functional significance of ventricular dilatation, Basic Research in Cardiology, 10.1007/BF01906676, 83:5, (461-475), Online publication date: 1-Sep-1988. PASQUE M (1988) Fontan Hemodynamics, Journal of Cardiac Surgery, 10.1111/j.1540-8191.1988.tb00216.x, 3:1, (45-52), Online publication date: 1-Mar-1988. Halperin H, Chew P, Weisfeldt M, Sagawa K, Humphrey J and Yin F (1987) Transverse stiffness: a method for estimation of myocardial wall stress., Circulation Research, 61:5, (695-703), Online publication date: 1-Nov-1987. Dechesne C, Leger J and Leger J (1987) Distribution of α- and β-myosin heavy chains in the ventricular fibers of the postnatal developing rat, Developmental Biology, 10.1016/0012-1606(87)90439-8, 123:1, (169-178), Online publication date: 1-Sep-1987. Yin F, Strumpf R, Chew P and Zeger S (1987) Quantification of the mechanical properties of noncontracting canine myocardium under simultaneous biaxial loading, Journal of Biomechanics, 10.1016/0021-9290(87)90279-X, 20:6, (577-589), Online publication date: 1-Jan-1987. PASQUE M and WECHSLER A (1986) Reassessing Right Ventricular Function and Ventricular Interaction: The Role of Global Myocardial Contractile Mechanics, Journal of Cardiac Surgery, 10.1111/j.1540-8191.1986.tb00727.x, 1:4, (393-402), Online publication date: 1-Dec-1986. Chew P, Zeger S and Yin F (1986) Determination of Material Properties of Biological Tissues: Pericardium Frontiers in Biomechanics, 10.1007/978-1-4612-4866-8_7, (86-97), . Regen D (1984) Myocardial stress equations: Fiberstresses of the prolate spheroid, Journal of Theoretical Biology, 10.1016/S0022-5193(84)80003-X, 109:2, (191-215), Online publication date: 1-Jul-1984. Pisarenko G, Krivenyuk V, Moibenko A, Sivachenko T and Belous A (1983) Internal stresses and myocardial contractility, Mechanics of Composite Materials, 10.1007/BF00611790, 18:4, (478-481), . Rau W (1983) Zur Formursache des Magengeschw�rsOn the formal cause of gastric ulcer, Langenbecks Archiv f�r Chirurgie, 10.1007/BF01255582, 360:1, (43-57), Online publication date: 1-Mar-1983. Regen D and Maurer C (1983) The dependence of chamber dynamics on chamber dimensions, Journal of Theoretical Biology, 10.1016/0022-5193(83)90227-8, 105:4, (679-705), Online publication date: 1-Dec-1983. Abé H and Nakamura T (1982) Finite deformation model for the mechanical behavior of left ventricular wall muscles, Mathematical Modelling, 10.1016/0270-0255(82)90019-7, 3:2, (143-152), . Yin F (1981) Ventricular wall stress., Circulation Research, 49:4, (829-842), Online publication date: 1-Oct-1981.Olsen C, Rankin J, Arentzen C, Ring W, McHale P and Anderson R (1981) The deformational characteristics of the left ventricle in the conscious dog., Circulation Research, 49:4, (843-855), Online publication date: 1-Oct-1981. Kiil F (2009) The mechanism of renal autoregulation, Scandinavian Journal of Clinical and Laboratory Investigation, 10.3109/00365518109090493, 41:6, (521-525), Online publication date: 1-Jan-1981. Grossman W (1980) Cardiac hypertrophy: Useful adaptation or pathologic process?, The American Journal of Medicine, 10.1016/0002-9343(80)90471-4, 69:4, (576-584), Online publication date: 1-Oct-1980. Gao L, Cui W, Zhang P, Jang A, Zhu W, Zhang J and Tang Y (2016) 31P NMR 2D Mapping of Creatine Kinase Forward Flux Rate in Hearts with Postinfarction Left Ventricular Remodeling in Response to Cell Therapy, PLOS ONE, 10.1371/journal.pone.0162149, 11:9, (e0162149) March 1, 1980Vol 46, Issue 3Article InformationMetrics Copyright © 1980 by American Heart Associationhttps://doi.org/10.1161/01.RES.46.3.321 Originally publishedMarch 1, 1980 PDF download Advertisement
Referência(s)