Calculation of left ventricular wall stress. 1990

D M Regen
Department of Molecular Physiology and Biophysics, Vanderbilt University Medical School, Nashville, TN 37232-0615.

Chamber-stress equations relate wall stresses to pressure and wall dimensions. Such equations play a central role in the analysis and understanding of heart-chamber function. Over the past three decades, several stress equations giving radically different results have been derived, used, and/or espoused. They can be classified into two categories, according to the definition of stress underlying the equation. The stresses in one class of equations are total forces per unit normal area, excluding ambient pressure but including pressure in the wall exerted by more external elements of the wall. The stresses in the other class of equations are fiber-pulling forces per unit normal area, that is, total forces per unit normal area excluding all pressure. The validity of stress equations can be tested at least three ways: 1) Do they predict that the pressure inside a small chamber nested in a larger chamber would be the sum of transmural pressures of the two chambers? 2) Do they satisfy the expectation from Laplace's law that a sphere with a given circular stress and thickness/radius ratio would exert twice the pressure of a cylinder with the same circular stress and thickness/radius ratio? 3) Do they predict that the ratio of principle stresses depends on chamber shape but not on wall/cavity ratio, with the circular/longitudinal stress ratio of a cylinder being 2 and that of a prolate spheroid being between 1 and 2? Stress equations of the first class fail all of these tests by large margins, whereas those of the second class pass all of these tests exactly.(ABSTRACT TRUNCATED AT 250 WORDS)

UI MeSH Term Description Entries
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D011312 Pressure A type of stress exerted uniformly in all directions. Its measure is the force exerted per unit area. (McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Pressures
D006334 Heart Function Tests Examinations used to diagnose and treat heart conditions. Cardiac Function Tests,Cardiac Function Test,Function Test, Cardiac,Function Test, Heart,Function Tests, Cardiac,Function Tests, Heart,Heart Function Test,Test, Cardiac Function,Test, Heart Function,Tests, Cardiac Function,Tests, Heart Function
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D013314 Stress, Mechanical A purely physical condition which exists within any material because of strain or deformation by external forces or by non-uniform thermal expansion; expressed quantitatively in units of force per unit area. Mechanical Stress,Mechanical Stresses,Stresses, Mechanical
D016276 Ventricular Function The hemodynamic and electrophysiological action of the HEART VENTRICLES. Function, Ventricular,Functions, Ventricular,Ventricular Functions

Related Publications

Copied contents to your clipboard!