Mathematical Modeling
Vol. 8 (2024), Issue 2, pg(s) 82-84

MATHEMATICAL MODELLING OF MEDICAL-BIOLOGICAL PROCESSES AND SYSTEMS

Aortic Elasticity versus Aortic Valve Elasticity – Structural Aspects, Preliminary works

  • 1 Institute of Mechanics, Bulgarian Academy of Sciences

Abstract

This elaboration proposes results obtained during initial stages of numerical modeling of the function of aortic heart valve depending on its elastic module and the aortic elastic module.
The actuality of such an elaboration could be based on the advancing progress in the material sciences, as well as on the increasing opportunities given by the development of the medical diagnostic technics for observation of processes in the human organism and the development of computational technics.
The work and the interactions between the aortic valve and the aorta is here structurally modeled according to Finite Element Method by help of Ansys commercial product. Elastic material models are assumed for the materials of aorta and aortic valve. The geometry of the aortic valve and the aorta are designed as averaged ones according to suggested reference data. The boundary conditions are assumed according to reference data about left-ventricle blood pressure and the aortic blood pressure. These material models, geometry and boundary conditions could be reformulated according each separately given case. That will give possibilities of development of the subject of this work following as called patient-orientated model.
The displacements, the stress and strain distributions in both aorta and valve are established depending on both blood pressures aortic and left-ventricle depending on two aortic elastic modules 0.476 and 1MPa under elastic modules of the sinotubular junction 15.34MPa and sinus of Valsalva 20.24MPa. Pumping functions of the heart and the aorta are numerically observed depending on the two aortic elasticmodules. Some variations in the elastic modules of the sinotubular junction and sinuses of Valsalva are commented.
The proposed finite element model and the obtained results could open future possibilities to enlarge this work, for example, through variations in the four elastic modules, variations in the aortic geometry also including additional branches to the aorta or modeling of interactions between pulsating blood flow and arterial-valve structures, also not excluding real experimental formulation or design and synthesis of new biological materials.

Keywords

References

  1. T. Young, The Croonian Lecture. On the Functions of the Heart and Arteries. Phil. Trans. Roy Soc., 99, 4 (1809), London, 1-31.
  2. F. Oveissi, S. Naficy, A. Lee, D.S. Winlaw, F. Dehghani, Materials and manufacturing perspectives in engineering heart valves: a review. Materials Today Bio 5 (2020) 1 – 20.
  3. A. Evangelista, F. A. Flachskampf, R. Erbel, F. Antonini-Canterin, Ch. Vlachopoulos, G. Rocchi, R. Sicari, P. Nihoyannopoulos, J. Zamorano, Echocardiography in aortic diseases: EAE recommendations for clinical practice. European Journal of Echocardiography, 11 (2010), 645–658
  4. T. Cordova, M. A. Maldonado, J. Castro, M. E. Cano, S. Solorio, M. A. Hernandez, M. Sosa, J. J. Bernal, R. Huerta-Franco, G. O'Mahony, M. Vargas, Arterial tension throughout the cardiac cycle: Bioelectromagnetic Assessment. International Journal of Bioelectromagnetism, 11, No. 1, (2009) 54 – 58
  5. R. J. Brewer, J. David Deck, B. Capati, S. P. Nolan, The dynamic aortic root. Its role in aortic valve function, J. Of Thoracic and Cardiovascular Surgery, 72, No 3, (1976), 413-417.
  6. G. Marom, R. Halevi, R. Haj-Ali, M. Rosenfeld, H.-J. Schafers, E. Raanani, Numerical model of the aortic root and valve: Optimization of graft size and sinotubular junction to annulus ratio. J. of Thoracic and Cardiovascular Surgery, 146, No 5 (2013) 1227 – 1231
  7. G. Marom, H.-S. Kim, M. Rosenfeld, E. Raanani, R. Haj-Ali, Fully coupled fluid–structure interaction model of congenital bicuspid aortic valves: effect of asymmetry on hemodynamics. Med. Biol. Eng. Comput. 51 (2013) 839–848
  8. D. Ketelsen, E. K. Fishman, Cl. D. Claussen, J. Vogel-Claussen, Computed Tomography Evaluation of Cardiac Valves: A Review, Radiol. Clin. N Am 48, (2010), 783-797
  9. A. Hamdan, V. Guetta, E. Konen, O. Goitein, A. Segev, E. Raanani, D. Spiegelstein, I. Hay, E. Di Segni, M. Eldar, E. Schwammenthal, Deformation Dynamics and Mechanical Properties of the Aortic Annulus by 4-Dimensional Computed Tomography, Journal of American College of Cardiol. 59, No2, (2012), 119–27
  10. Q. Hou, G. Liu, N. Liu, H. Zhang, Z. Qu, H. Zhang, H. Li, Y. Pan, A. Qiao, Effect of Valve Height on the Opening and Closing Performance of the Aortic Valve Under Aortic Root Dilatation. Frontiers in Physiology, 12 (2021) 1 - 13
  11. L. Fan, J. S. Choy, C. Cai, S. D. Teague, J. Guccione, L. C. Lee, G. S. Kassab, Comparison of Left Ventricular Function Derived from Subject-Specific Inverse Finite Element Modeling Based on 3D ECHO and Magnetic Resonance Images. Bioengineering 11 (2024) 735.
  12. E. Goranova, N. Nikolov, Numerical Modeling of the Venous Valve Functioning. J. of Theoretical and Applied Mechanics, 51 (2021) 468-487.

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