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

Shaul Sorek, Samuel Sideman

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)15-32
Number of pages18
JournalMathematical Biosciences
Issue number1
StatePublished - 1 Jan 1986
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology (all)
  • Immunology and Microbiology (all)
  • Agricultural and Biological Sciences (all)
  • Applied Mathematics


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