Mechanical analysis of the development of left ventricular aneurysms
Autor: | Radhakrishnan, Ghista, D.N., Jayaraman |
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Jazyk: | angličtina |
Rok vydání: | 1980 |
Předmět: |
Heart Ventricles
NEWTON-RAPHSON METHOD Biophysics Geometry heart Spherical shell Ventricular geometry biomechanics Heart Ventricle nonbiological model Aneurysm medicine Humans Orthopedics and Sports Medicine cardiovascular diseases Heart Aneurysm Physics Wall segment heart ventricle aneurysm Rehabilitation Models Cardiovascular medicine.disease heart left ventricle BIOMECHANICS - Mathematical Models BIOMEDICAL ENGINEERING Biomechanical Phenomena Nonlinear system medicine.anatomical_structure Ventricle cardiovascular system Development (differential geometry) mathematical model Mathematics Human |
Zdroj: | IndraStra Global. |
ISSN: | 2381-3652 |
DOI: | 10.1016/0021-9290(80)90047-0 |
Popis: | The left ventricle is modelled as a spherical shell with an infarcted wall segment. The mechanics of the circumstances causing this infarcted segment to develop into an aneurysm is presented. Both the wall stresses and deformations are worked out for aneurysms developing from infarcts of different sizes and percentages of wall damage. The governing equations consist of incompressibility relations, force-equilibrium relations and stress-strain relations. Newton Raphson technique is used to solve these nonlinear simultaneous algebraic equations, for the values of the myocardial stresses in the infarcted segment and the bulge values, in terms of the ventricular geometry and the damage extent (expressed in terms of the damage angle and percentage of wall damage). The results indicate that in general it is innermost layer which is severely stressed and that in the rupture of the ventricle the critical factor involved is the percentage of infarct thickness rather than the angle of damage. |
Databáze: | OpenAIRE |
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