Modelling cardiac mechanical properties in three dimensions

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 359, Issue 1783, 2001, Pages 1233-1250

  Costa, K D ^a   Holmes, J W ^a   McCulloch, A D ^a  

^a Fu Foundation School of Engineering and Applied Science   (United States)

Author keywords

Biaxial testing; Constitutive model; Mechanics; Myocardium

Indexed keywords

EID: 34248168644     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2001.0828     Document Type: Review

References (71)

1. Strain energy descriptions of biological swelling. II. Multiple fluid compartment models
2. An analysis of the mechanical disadvantage of myocardial infarction in the canine left ventricle
3. An analysis of myocardial infarction: The effect of regional changes in contractility
4. Influence of endocardial-epicardial crossover of muscle fibres on left ventricular wall mechanics
5. Relationship of functional recovery to scar contraction after myocardial infarction in the canine left ventricle
6. Biomechanical properties of reperfused transmural myocardial infarcts in rabbits during the first week after infarction: Implications for left ventricular rupture
7. Three-dimensional residual strain in midanterior canine left ventricle
8. Laminar fiber architecture and three-dimensional systolic mechanics in canine ventricular myocardium
9. Physically based strain invariant set for materials exhibiting transversely isotropic behavior
10. Passive biaxial mechanical properties of isolated canine myocardium
11. Mechanical regulation of myocardial growth during volume-overload hypertrophy in the rat
12. Biaxial mechanics of the passively overstretched left ventricle
13. Structural mechanisms of acute ventricular strain softening
14. Das gefüge des herzmuskels bei systole und diastole
15. Passive tension in cardiac muscle: Contribution of collagen, titin, microtubules, and intermediate filaments
16. Finite element modelling of ventricular mechanics
17. Passive material properties of intact ventricular myocardium determined from a cylindrical model
18. Mechanics of active contraction in cardiac muscle. Part II. Cylindrical models of the systolic left ventricle
19. Finite element stress analysis of left ventricular mechanics in the beating dog heart
20. Changes in passive mechanical stiffness of myocardial tissue with aneurysm formation
21. Transverse stiffness: A method for estimation of myocardial wall stress
22. Collagen fiber orientation in myocardial scar tissue
23. Scar remodeling and transmural deformation after infarction in the pig
24. Functional implications of myocardial scar structure
25. Determination of a constitutive relation for passive myocardium. I. A new functional form
26. Determination of a constitutive relation for passive myocardium. II. Parameter estimation
27. Biaxial mechanical behavior of excised ventricular epicardium
28. Porous medium finite element model of the beating left ventricle
29. Increase in crosslinking of type I and type III collagens associated with volume overload hypertrophy
30. Predicted effect of chronic apical aneurysms on the passive stiffness of the human left ventricle
31. Formulation of constitutive equations for residually stressed materials by use of a virtual configuration
32. Delayed effects of early infarct-limiting therapies on healing after myocardial infarction
33. The need to account for residual strains and composite nature of heart wall in mechanical analyses
34. Relationship between myofiber disarray and epicardial shortening in hypertrophic cardiomyopathy
35. Crossbridge dynamics in muscle contraction
36. Laminar structure of the heart: Ventricular myocyte arrangement and connective tissue architecture in the dog
37. Transverse shear along myocardial cleavage planes provides a mechanism for normal systolic wall thickening
38. The architecture of the heart: A data-based model
39. Segmental motion and deformation of transmurally infarcted myocardium in acute postinfarct period
40. A multiaxial constitutive law for mammalian left ventricular myocardium in steady-state barium contracture or tetanus
41. Microstructural model of perimysial collagen fibers for resting myocardial mechanics during ventricular filling
42. Structural basis of regional dysfunction in acutely ischemic myocardium
43. Computer simulation of excitation-contraction coupling in cardiac muscle: A study of the regulatory role of calcium binding to troponin C
44. Computational mechanics of the heart
45. Regional mechanical properties of passive myocardium
46. Residual strain in rat left ventricle
47. Transmural distribution of three-dimensional strain in the isolated arrested canine left ventricle
48. Measurement of strain and analysis of stress in resting rat left ventricular myocardium
49. Effect of myocyte necrosis on strength, strain, and stiffness of isolated myocardial strips
50. Relation of regional cross-fiber shortening to wall thickening in the intact heart: Three-dimensional strain analysis by NMR tagging
51. Mechanical analysis of the development of left ventricular aneurysms
52. Comparison of putative cooperative mechanisms in cardiac muscle: Length dependence and dynamic responses
53. Optimization of cardiac fiber orientation for homogeneous fiber strain during ejection
54. Effect of residual stress on transmural sarcomere length distribution in rat left ventricle
55. Stress-dependent finite growth law in soft elastic tissues
56. A method for planar biaxial mechanical testing that includes in-plane shear
57. Biaxial mechanical properties of passive right ventricular free wall myocardium
58. Geometrical factors influencing muscle force development. I. The effect of filament spacing upon axial forces
59. Geometrical factors influencing muscle force development. II. Radial forces
60. Cellular basis for volume related wall thickness changes in the rat left ventricle
61. Residual strain in ischemic ventricular myocardium
62. Sarcomere function and crossbridge cycling
63. Regional myocardial function and dimensions early and late after myocardial infarction in the unanesthetized dog
64. Effect of laminar orthotropic myofiber architecture on regional stress-and strain in the canine left ventricle
65. Three-dimensional stress and strain in passive rabbit left ventricle: A model study
66. Relation between transmural deformation and local myofiber direction in canine left ventricle
67. Myocardial mechanics and collagen structure in the osteogenesis imperfecta murine (oim)
68. Analysis of healing after myocardial infarction using polarized light microscopy
69. Quantification of the mechanical properties of noncontracting canine myocardium under simultaneous biaxial loading
70. Non-axial muscle stress and stiffness
71. The effects of cross-fiber deformation on axial fiber stress in myocardium