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A cylindrical model of contraction of left ventricle of the heart

A cylindrical model of contraction of left ventricle of the heart. Syomin F.A., Tsaturyan A.K. Institute of Mechanics, Lomonosov Moscow State University. C ardiac tissue as elastic continuum. Assumed deformations of the ventricle. D λ H⋅ R/r. λ H. H. ρ r In. r In.

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A cylindrical model of contraction of left ventricle of the heart

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  1. A cylindrical model of contraction of left ventricle of the heart Syomin F.A., Tsaturyan A.K. Institute of Mechanics, Lomonosov Moscow State University

  2. Cardiac tissue as elastic continuum

  3. Assumed deformations of the ventricle DλH⋅ R/r λH H ρrIn rIn

  4. Fiber orientation within the ventricle wall α(r)

  5. Stress equilibrium equations • T33 • T33 p0

  6. Boundary conditions

  7. Windkessel model for hemodynamic processes Ri, Li LV Pa, C Qin P0 Pv Rper

  8. Computational modeling V, mL P0, mm Hg Pa, mm Hg

  9. λ ρ D*z

  10. L, μm rIn rIn + 0.5*(rOut- rIn) L, μm rOut

  11. Radial distribution of sarcomere lengths L, μm L, μm r, cm t, s r, cm t, s 1.706 2.39 1.61 2.51

  12. Hypertrophic cardiomyopathy V, mL 2x 2x F P0, mm Hg Pa, mm Hg

  13. λ ρ D*z

  14. Dilated cardiomyopathy V, mL 1.2x 2x 1.5x vmax V0 P0, mm Hg Pa, mm Hg

  15. λ ρ D*z

  16. Summary A kinetic model of cardiac muscle was used to simulate contraction of the left ventricle using a cylindrical approximation of its shape. • Computational results are in good agreement with the time course of hemodynamic and geometrical parameters during a heart beat. • The model shows the importance of the change in fiber orientation within the ventricle wall. The ventricle twist leads to more uniform distribution of sarcomere length. • The model confirms that the changes in ventricle geometry found in hearts with hypertrophic and dilated cardiomyopathies result in the maintenance of the stroke volume in spite of decreased contractile force or shortening velocity, respectively.

  17. Syomin FyodorInstitute of Mechanics, Lomonosov Moscow State Universitysan@aviel.ru

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