메뉴 건너뛰기




Volumn 12, Issue 1, 2013, Pages

Mathematical model of the anatomy and fibre orientation field of the left ventricle of the heart

Author keywords

Left ventricle of the mammalian heart; Mathematical anatomy; Mathematical modelling of the cardiac form and structure

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; FIBERS; MAMMALS; MATHEMATICAL MODELS;

EID: 84879708396     PISSN: None     EISSN: 1475925X     Source Type: Journal    
DOI: 10.1186/1475-925X-12-54     Document Type: Article
Times cited : (56)

References (43)
  • 1
    • 79961044576 scopus 로고    scopus 로고
    • Electromechanical models of the ventricles
    • 10.1152/ajpheart.00324.2011, 3154669, 21572017
    • Trayanova N, Constantino J, Gurev V. Electromechanical models of the ventricles. Am J Physiol Heart Circ Physiol 2011, 301:H279-H286. 10.1152/ajpheart.00324.2011, 3154669, 21572017.
    • (2011) Am J Physiol Heart Circ Physiol , vol.301
    • Trayanova, N.1    Constantino, J.2    Gurev, V.3
  • 2
    • 0021217149 scopus 로고
    • A computer study of the left ventricular performance based on fiber structure, sarcomere dynamics, and transmural electrical propagation velocity
    • 10.1161/01.RES.55.3.358, 6467528
    • Beyar R, Sideman S. A computer study of the left ventricular performance based on fiber structure, sarcomere dynamics, and transmural electrical propagation velocity. Circ Res 1984, 55:358-375. 10.1161/01.RES.55.3.358, 6467528.
    • (1984) Circ Res , vol.55 , pp. 358-375
    • Beyar, R.1    Sideman, S.2
  • 3
    • 79251626458 scopus 로고    scopus 로고
    • Integrative systems models of cardiac excitation-contraction coupling
    • 10.1161/CIRCRESAHA.110.223578, 3074965, 21212390
    • Greenstein J, Winslow R. Integrative systems models of cardiac excitation-contraction coupling. Circ Res 2011, 108:70-84. 10.1161/CIRCRESAHA.110.223578, 3074965, 21212390.
    • (2011) Circ Res , vol.108 , pp. 70-84
    • Greenstein, J.1    Winslow, R.2
  • 4
    • 0032026584 scopus 로고    scopus 로고
    • Modelling the mechanical properties of cardiac muscle
    • 10.1016/S0079-6107(98)00013-3, 9785944
    • Hunter P, McCulloch A, Keurs HT. Modelling the mechanical properties of cardiac muscle. Prog Biophys Mol Biol 1998, 69:289-331. 10.1016/S0079-6107(98)00013-3, 9785944.
    • (1998) Prog Biophys Mol Biol , vol.69 , pp. 289-331
    • Hunter, P.1    McCulloch, A.2    Keurs, H.T.3
  • 6
    • 33748419943 scopus 로고    scopus 로고
    • Alternans and spiral breakup in a human ventricular tissue model
    • 10.1152/ajpheart.00109.2006, 16565318
    • Tusscher KT, Panfilov A. Alternans and spiral breakup in a human ventricular tissue model. Am J Physiol Heart Circ Physiol 2006, 291:H1088-H1100. 10.1152/ajpheart.00109.2006, 16565318.
    • (2006) Am J Physiol Heart Circ Physiol , vol.291
    • Tusscher, K.T.1    Panfilov, A.2
  • 7
    • 73049094376 scopus 로고    scopus 로고
    • A novel computational model of the human ventricular action potential and Ca transient
    • [Special Issue: Ion Channels], 10.1016/j.yjmcc.2009.09.019, 2813400, 19835882
    • Grandi E, Pasqualini F, Bers D. A novel computational model of the human ventricular action potential and Ca transient. J Mol Cell Cardiol 2010, 48:112-121. [Special Issue: Ion Channels], 10.1016/j.yjmcc.2009.09.019, 2813400, 19835882.
    • (2010) J Mol Cell Cardiol , vol.48 , pp. 112-121
    • Grandi, E.1    Pasqualini, F.2    Bers, D.3
  • 8
    • 79958158591 scopus 로고    scopus 로고
    • Simulation of the undiseased human cardiac ventricular action potential: model formulation and experimental validation
    • 10.1371/journal.pcbi.1002061, 3102752, 21637795
    • O'Hara T, Virag L, Varro A, Rudy Y. Simulation of the undiseased human cardiac ventricular action potential: model formulation and experimental validation. PLoS Comput Biol 2011, 7(5):e1002061. 10.1371/journal.pcbi.1002061, 3102752, 21637795.
    • (2011) PLoS Comput Biol , vol.7 , Issue.5
    • O'Hara, T.1    Virag, L.2    Varro, A.3    Rudy, Y.4
  • 9
    • 41049107078 scopus 로고    scopus 로고
    • Mathematical modeling of mechanically modulated rhythm disturbances in homogeneous and heterogeneous myocardium with attenuated activity of Na+ - K+ pump
    • 10.1007/s11538-007-9285-y, 18259823
    • Sulman T, Katsnelson L, Solovyova O, Markhasin V. Mathematical modeling of mechanically modulated rhythm disturbances in homogeneous and heterogeneous myocardium with attenuated activity of Na+ - K+ pump. Bull Math Biol 2008, 70(3):910-949. 10.1007/s11538-007-9285-y, 18259823.
    • (2008) Bull Math Biol , vol.70 , Issue.3 , pp. 910-949
    • Sulman, T.1    Katsnelson, L.2    Solovyova, O.3    Markhasin, V.4
  • 10
    • 33646131626 scopus 로고    scopus 로고
    • A quantitative analysis of cardiac myocyte relaxation: a simulation study
    • 10.1529/biophysj.105.069534, 1367320, 16339881
    • Niederer S, Hunter P, Smith N. A quantitative analysis of cardiac myocyte relaxation: a simulation study. Biophys J 2006, 90(5):1697-1722. 10.1529/biophysj.105.069534, 1367320, 16339881.
    • (2006) Biophys J , vol.90 , Issue.5 , pp. 1697-1722
    • Niederer, S.1    Hunter, P.2    Smith, N.3
  • 12
    • 2442438820 scopus 로고    scopus 로고
    • Approaches to modeling crossbridges and calcium-dependent activation in cardiac muscle
    • Rice J, de Tombe P. Approaches to modeling crossbridges and calcium-dependent activation in cardiac muscle. Prog Biophys Mol Biol 2004, 85(2-3):179-195.
    • (2004) Prog Biophys Mol Biol , vol.85 , Issue.2-3 , pp. 179-195
    • Rice, J.1    de Tombe, P.2
  • 16
    • 0029151575 scopus 로고
    • Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog
    • LeGrice I, Smaill B, Chai L, Edgar S, Gavin J, Hunter P. Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. Am J Physiol 1995, 269(2):H571-H582.
    • (1995) Am J Physiol , vol.269 , Issue.2
    • LeGrice, I.1    Smaill, B.2    Chai, L.3    Edgar, S.4    Gavin, J.5    Hunter, P.6
  • 18
    • 33645984566 scopus 로고    scopus 로고
    • The helical ventricular myocardial band of Torrent-Guasp: potential implications in congenital heart defects
    • Corno A, Kocica M, Torrent-Guasp F. The helical ventricular myocardial band of Torrent-Guasp: potential implications in congenital heart defects. Eur J Cardiothorac Surg 2006, 29(Supplement 1):S61-S68.
    • (2006) Eur J Cardiothorac Surg , vol.29 , Issue.SUPPL. 1
    • Corno, A.1    Kocica, M.2    Torrent-Guasp, F.3
  • 19
    • 13244264878 scopus 로고    scopus 로고
    • Architecture must document functional evidence to explain the living rhythm
    • Buckberg GD. Architecture must document functional evidence to explain the living rhythm. Eur J Cardio-Thorac Surg 2005, 27(2):202-209.
    • (2005) Eur J Cardio-Thorac Surg , vol.27 , Issue.2 , pp. 202-209
    • Buckberg, G.D.1
  • 21
    • 0002701585 scopus 로고
    • Bethesda, Maryland: Am Physiol Soc. Chap. Gross morphology and fiber geometry of the heart, 61-112
    • Streeter D. Handbook of Physiology. Sec. 2. Vol. I. The Heart. 1979:, Bethesda, Maryland: Am Physiol Soc. Chap. Gross morphology and fiber geometry of the heart, 61-112.
    • (1979) Handbook of Physiology. Sec. 2. Vol. I. The Heart.
    • Streeter, D.1
  • 22
    • 0025730285 scopus 로고
    • Mathematical model of the geometry and fibrous structure of the heart
    • Nielsen P, LeGrice I, Smaill B, Hunter P. Mathematical model of the geometry and fibrous structure of the heart. Am J Physiol 1991, 260:H1365-H1378.
    • (1991) Am J Physiol , vol.260
    • Nielsen, P.1    LeGrice, I.2    Smaill, B.3    Hunter, P.4
  • 23
    • 0000075005 scopus 로고
    • On the arrangement of the muscular fibers of the ventricular portion of the heart of the mammal
    • Pettigrew J. On the arrangement of the muscular fibers of the ventricular portion of the heart of the mammal. Proc Roy Soc, London 1860, 10:433-440.
    • (1860) Proc Roy Soc, London , vol.10 , pp. 433-440
    • Pettigrew, J.1
  • 24
    • 26844581525 scopus 로고    scopus 로고
    • Ex Vivo 3D diffusion tensor imaging and quantification of cardiac laminar structure
    • 10.1002/mrm.20622, 2396270, 16149057
    • Helm P, Tseng H, Younes L, McVeigh E, Winslow R. Ex Vivo 3D diffusion tensor imaging and quantification of cardiac laminar structure. Magn Reson Med 2005, 54:850-859. 10.1002/mrm.20622, 2396270, 16149057.
    • (2005) Magn Reson Med , vol.54 , pp. 850-859
    • Helm, P.1    Tseng, H.2    Younes, L.3    McVeigh, E.4    Winslow, R.5
  • 26
    • 23744447246 scopus 로고    scopus 로고
    • Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor MR imaging
    • 10.1196/annals.1341.026, 16093505
    • Helm P, Beg M, Miller M, Winslow R. Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor MR imaging. Ann N Y Acad Sci 2005, 1047:296-307. 10.1196/annals.1341.026, 16093505.
    • (2005) Ann N Y Acad Sci , vol.1047 , pp. 296-307
    • Helm, P.1    Beg, M.2    Miller, M.3    Winslow, R.4
  • 30
    • 78650915938 scopus 로고    scopus 로고
    • Three-dimensional cardiac tissue image registration for analysis of in vivo electrical mapping
    • 10.1007/s10439-010-0163-7, 20853026
    • Trew M, Caldwell B, Sands G, LeGrice I, Smaill B. Three-dimensional cardiac tissue image registration for analysis of in vivo electrical mapping. Ann Biomed Eng 2011, 39:235-248. 10.1007/s10439-010-0163-7, 20853026.
    • (2011) Ann Biomed Eng , vol.39 , pp. 235-248
    • Trew, M.1    Caldwell, B.2    Sands, G.3    LeGrice, I.4    Smaill, B.5
  • 31
    • 0033855624 scopus 로고    scopus 로고
    • Three-dimensional cartography of the pattern of the myofibres in the second trimester fetal human heart
    • Jouk P, Usson Y, Michalowicz G, Grossi L. Three-dimensional cartography of the pattern of the myofibres in the second trimester fetal human heart. Anat Embryol (Berl) 2000, 202(2):103-118.
    • (2000) Anat Embryol (Berl) , vol.202 , Issue.2 , pp. 103-118
    • Jouk, P.1    Usson, Y.2    Michalowicz, G.3    Grossi, L.4
  • 32
    • 84879731322 scopus 로고    scopus 로고
    • Modelling In Vivo Cardiac Mechanics using MRI and FEM
    • Auckland Bioengineering Institute, The University of Auckland, New Zealand; 2012
    • Vicky YW. Modelling In Vivo Cardiac Mechanics using MRI and FEM. PhD thesis, Auckland Bioengineering Institute, The University of Auckland, New Zealand; 2012.
    • PhD thesis,
    • Vicky, Y.W.1
  • 33
    • 79957927442 scopus 로고    scopus 로고
    • Models of cardiac electromechanics based on individual hearts imaging data: Image-based electromechanical models of the heart
    • 10.1007/s10237-010-0235-5, 3166526, 20589408
    • Gurev V, Lee T, Constantino J, Arevalo H, Trayanova N. Models of cardiac electromechanics based on individual hearts imaging data: Image-based electromechanical models of the heart. Biomech Model Mechanobiol 2011, 10:295-306. 10.1007/s10237-010-0235-5, 3166526, 20589408.
    • (2011) Biomech Model Mechanobiol , vol.10 , pp. 295-306
    • Gurev, V.1    Lee, T.2    Constantino, J.3    Arevalo, H.4    Trayanova, N.5
  • 35
    • 34250761813 scopus 로고    scopus 로고
    • Modeling of electrophysiology and tension development in the human heart
    • Universitat Karlsruhe; 2005
    • Seemann G. Modeling of electrophysiology and tension development in the human heart. PhD thesis, Universitat Karlsruhe; 2005.
    • PhD thesis,
    • Seemann, G.1
  • 36
    • 74949089885 scopus 로고    scopus 로고
    • Development of an anatomically detailed MRI-derived rabbit ventricular model and assessment of its impact on simulations of electrophysiological function
    • 10.1152/ajpheart.00606.2009, 2822578, 19933417
    • Bishop MJ, Plank G, Burton RAB, Schneider JE, Gavaghan DJ, Grau V, Kohl P. Development of an anatomically detailed MRI-derived rabbit ventricular model and assessment of its impact on simulations of electrophysiological function. Am J Physiol Heart Circ Physiol 2010, 298(2):H699-H718. 10.1152/ajpheart.00606.2009, 2822578, 19933417.
    • (2010) Am J Physiol Heart Circ Physiol , vol.298 , Issue.2
    • Bishop, M.J.1    Plank, G.2    Burton, R.A.B.3    Schneider, J.E.4    Gavaghan, D.J.5    Grau, V.6    Kohl, P.7
  • 37
    • 84867232974 scopus 로고    scopus 로고
    • A novel rule-based algorithm for assigning myocardial fiber orientation to computational heart models
    • 10.1007/s10439-012-0593-5, 3518842, 22648575
    • Bayer J, Blake R, Plank G, Trayanova N. A novel rule-based algorithm for assigning myocardial fiber orientation to computational heart models. Ann Biomed Eng 2012, 40(10):2243-2254. 10.1007/s10439-012-0593-5, 3518842, 22648575.
    • (2012) Ann Biomed Eng , vol.40 , Issue.10 , pp. 2243-2254
    • Bayer, J.1    Blake, R.2    Plank, G.3    Trayanova, N.4
  • 38
    • 0003557410 scopus 로고    scopus 로고
    • A realistic model of the human ventricular myocardium: application to the study of ectopic activation
    • Halifax, Nova Scotia, Canada: Dalhousie University; 1996
    • Hren R. A realistic model of the human ventricular myocardium: application to the study of ectopic activation. PhD thesis, Halifax, Nova Scotia, Canada: Dalhousie University; 1996.
    • PhD thesis,
    • Hren, R.1
  • 39
    • 84990576533 scopus 로고
    • Fiber architecture of the left ventricular wall: An asymptotic analysis
    • Peskin C. Fiber architecture of the left ventricular wall: An asymptotic analysis. Commun Pure Appl Math 1989, 42:79-113.
    • (1989) Commun Pure Appl Math , vol.42 , pp. 79-113
    • Peskin, C.1
  • 40
    • 0020414775 scopus 로고
    • Mechanics of the left ventricle
    • 10.1016/S0006-3495(82)84518-9, 1328945, 7139027
    • Chadwick R. Mechanics of the left ventricle. Biophys J 1982, 39:279-288. 10.1016/S0006-3495(82)84518-9, 1328945, 7139027.
    • (1982) Biophys J , vol.39 , pp. 279-288
    • Chadwick, R.1
  • 41
    • 0026942149 scopus 로고
    • Dependence of local left ventricular wall mechanics on myocardial fiber orientation: a model study
    • Bovendeerd P, Arts T, Huyghe J, Campen DV, Reneman R. Dependence of local left ventricular wall mechanics on myocardial fiber orientation: a model study. J Biomechanics 1992, 25(10):1129-1140.
    • (1992) J Biomechanics , vol.25 , Issue.10 , pp. 1129-1140
    • Bovendeerd, P.1    Arts, T.2    Huyghe, J.3    Campen, D.V.4    Reneman, R.5
  • 42
    • 0020187965 scopus 로고
    • Epicardial deformation and left ventricular wall mechanics during ejection in the dog
    • Arts T, Veenstra P, Reneman R. Epicardial deformation and left ventricular wall mechanics during ejection in the dog. Am J Physiol Heart Circ Physiol 1982, 243(12):H379-H390.
    • (1982) Am J Physiol Heart Circ Physiol , vol.243 , Issue.12
    • Arts, T.1    Veenstra, P.2    Reneman, R.3
  • 43
    • 0036710926 scopus 로고    scopus 로고
    • Critical role of inhomogeneities in pacing termination of cardiac reentry
    • Sinha S, Stein KM, Christini DJ. Critical role of inhomogeneities in pacing termination of cardiac reentry. Chaos: An Interdiscip J Nonlinear Sci 2002, 12(3):893-902.
    • (2002) Chaos: An Interdiscip J Nonlinear Sci , vol.12 , Issue.3 , pp. 893-902
    • Sinha, S.1    Stein, K.M.2    Christini, D.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.