A porous-medium approach for modeling heart mechanics. II. 1-D case

Shaul Sorek; Samuel Sideman

doi:10.1016/0025-5564(86)90160-4

A porous-medium approach for modeling heart mechanics. II. 1-D case

Research output: Contribution to journal › Article › peer-review

Abstract

A porous-medium approach is used for modeling mechanics of the left ventricle (LV) of the heart. As a first approximation, a one-dimensional configuration is adopted. Motion of the endocardium and epicardium is formulated explicitly as a periodic function of time, and the mass and momentum balance equations are solved analytically. Detailed blood pressure and velocity profiles in the LV cavity are obtained. Separate expressions are derived for the fluid pressure in the myocardium, the relative fluid-solid velocity, and the stress distribution in the solid portion of the wall.

Original language	English
Pages (from-to)	15-32
Number of pages	18
Journal	Mathematical Biosciences
Volume	81
Issue number	1
DOIs	https://doi.org/10.1016/0025-5564(86)90160-4
State	Published - 1 Jan 1986
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/0025-5564(86)90160-4

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title = "A porous-medium approach for modeling heart mechanics. II. 1-D case",

abstract = "A porous-medium approach is used for modeling mechanics of the left ventricle (LV) of the heart. As a first approximation, a one-dimensional configuration is adopted. Motion of the endocardium and epicardium is formulated explicitly as a periodic function of time, and the mass and momentum balance equations are solved analytically. Detailed blood pressure and velocity profiles in the LV cavity are obtained. Separate expressions are derived for the fluid pressure in the myocardium, the relative fluid-solid velocity, and the stress distribution in the solid portion of the wall.",

author = "Shaul Sorek and Samuel Sideman",

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N2 - A porous-medium approach is used for modeling mechanics of the left ventricle (LV) of the heart. As a first approximation, a one-dimensional configuration is adopted. Motion of the endocardium and epicardium is formulated explicitly as a periodic function of time, and the mass and momentum balance equations are solved analytically. Detailed blood pressure and velocity profiles in the LV cavity are obtained. Separate expressions are derived for the fluid pressure in the myocardium, the relative fluid-solid velocity, and the stress distribution in the solid portion of the wall.

AB - A porous-medium approach is used for modeling mechanics of the left ventricle (LV) of the heart. As a first approximation, a one-dimensional configuration is adopted. Motion of the endocardium and epicardium is formulated explicitly as a periodic function of time, and the mass and momentum balance equations are solved analytically. Detailed blood pressure and velocity profiles in the LV cavity are obtained. Separate expressions are derived for the fluid pressure in the myocardium, the relative fluid-solid velocity, and the stress distribution in the solid portion of the wall.

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A porous-medium approach for modeling heart mechanics. II. 1-D case

Abstract

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