Study of Physiological Parameters of the Cardiovascular System by One Dimensional and Numerical Simulation

Molaei, Mehdi; Saeidi, Mohammad Saeid; Firoozabadi, Bahar

doi:10.22041/ijbme.2012.13164

Document Type : Full Research Paper

Authors

¹ M.Sc Student, Faculty Department of Mechanical Engineering, Sharif University

² professor,Department of Mechanical Engineering, Sharif University

10.22041/ijbme.2012.13164

Abstract

Study of Physiological Parameters of the Cardiovascular System by One Dimensional and Numerical Simulation. Owning to important role of the cardiovascular system in the human body and increase of cardiovascular diseases from day to day, in this study, we try to simulate a system of arteries by using one dimensional numerical modeling. For the first time in the one dimensional simulation, we use the finite volume method for discretization of Navier-Stocks equations coupled with the state equation. In order to develop the outflow boundary condition, we use a kind of lumped model called arteriole structure tree. Results of this study are verified by results of other one dimensional modeling such as the characteristic method and are showed that finite volume method is able to demonstrate characteristic of blood flow in arteries. Normal pressure and flow profiles in main systemic arteries are determined, and it is founded that the pressure profile becomes steeper with distance from the heart, which is in agreement with physiological patterns. Furthermore, we can show that when elasticity of arteries is increased in arterioscleroses disease, systolic pressure increases, yet diastolic pressure decreases. Finally, according to available results, it is clear that the finite volume method is useful to simulate numerically and one dimensionally the cardiovascular system.

Keywords

Main Subjects

References

[1] Ozawa, E.T. (1996). A Numerical Model of the Cardiovascular System for Clinical Assessment of Hemodynamic State. Ph.D. thesis, Massachusetts Institute of Technology.

[2] Olufsen, S. M., Charles, S.P., Kim, W., Erik M. P., Nadim, A., Larsen, J. (2000). Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions. Annals of Biomedical Engineering, Vol. 28, pp. 1281–1299.

[3] Olufsen, S.M. (1998). Modeling the Arterial System with Reference to an Anesthesia Simulator. Ph.D thesis, UNIVERSITAS ROSKILDENSIS.

[4] Formaggia, L. and Venziani, A. (2004). Geometrical Multiscale Models for the Cardiovascular System. ABMart.cls (pp.1{48) Warsaw.

[5] Formaggia, L., Lamponi, D. and Quartermoni, A. (2003). One-dimensional models for blood flow in arteries. Journal of Engineering Mathematics 47: 251–276.

[6] Formaggia, L., Gerbeau, J.F., Nobile, F., Quarteroni, A. (2001). On the coupling of 3D and 1D Navier- Stokes equation for flow problems in compliant vessels. Comput. Method Appl. Mech. Eng. 191 561- 582

[7] Koen, S. Matthys, Alastruey, J., Peiro, J., Ashraf W.K., Segers, P., Pascal, R.V., Kim H.P., Sherwin, S.J. (2007). Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements. Journal of Biomechanics 40 3476–3486

[8] Sherwin, S.J., Frank, V., Peiro, J. and Parker, K. (2003). One-dimensional modeling of a vascular network in space-time Variables. Journal of Engineering Mathematics 47: 217–250.

[9] Azer, K. and Charles S.P. (2007). A One-dimensional Model of Blood Flow in Arteries with Friction and Convection Based on the Womersley Velocity Profile. Cardiovascular Eng 7:51–73. DOI 10.1007/s10558-007-9031-y.

[10] Myers, L.J. and Capper, W.L. (2004). Exponential taper in arteries: an exact solution of its effect on blood flow velocity waveforms and impedance. Medical Engineering & Physics 26 147–155.

[11] Bessems, D., Christina G. Giannopapa, Marcel C.M. Rutten and Frans N. van de Vosse. (2008). Experimental validation of a time-domain-based wave propagation model of blood flow in viscoelastic vessels. Journal of Biomechanics 41 284–291.

[12] Liang, Shu, T., Ryutaro, H. and Hao, L.. (2009). Multi-scale modeling of the human cardiovascular system with applications to aortic valvular and arterial stenoses. Med Biol Eng Comput 47:743–755.

[13] Caro, C., Pedley, T., Schroter, R. and Seed, W. (1978). The Mechanics of the Circulation. Oxford University Press, Oxford, U.K.

[14] Rockwell, R., Anliker, M., and Eisner, J. (1974). Model studies of the pressure and flow pulses in a viscoelastic arterial conduit. Franklin Inst. 297: 405- 427.

[15] Tardy, Y., Meiseter, J., Perret, R., Brunner, H., and Arditi, M. (1991). Non-invasive estimate of the mechanical properties of peripheral arteries from ultrasonic and photoplethysmographic measurements. Clin. Phys. Physiol. Meas. 12: 39-54.

[16] Ottessen, T.J., Olufsen S.M., Hesper, K.L. (2004). Applied Mathematical in Human Physiology. SIAM, ISBN 0-89871-539 3.

[17] Stergiopulos, N., Young, D. and Rogge, T. (1992). Computer simulation of arterial flow with applications to arterial and aortic stenosis. Journal of Biomech. 25: 1477–1488.

[18] Azer, K. (2006). A One-dimensional Model of Blood Flow in Arteries with Friction and Convection Based on the Womersley Velocity Profile. Karim Azer and Charles S. Peskin. (2007). Ph.D. thesis, New York University

[19] Waite. (2006). Biofluid Mechanics in Cardiovascular Systems. 1st Edn., McGraw-Hills, New York, pp: 201. ISBN-10: 0071447881.

Iranian Journal of Biomedical Engineering

Study of Physiological Parameters of the Cardiovascular System by One Dimensional and Numerical Simulation

References

References

Volume 5, Issue 4 - Serial Number 4
June 2011
Pages 279-288

Study of Physiological Parameters of the Cardiovascular System by One Dimensional and Numerical Simulation

References

References

Volume 5, Issue 4 - Serial Number 4June 2011Pages 279-288

Volume 5, Issue 4 - Serial Number 4
June 2011
Pages 279-288