Geodesic
Numerical simulation of hemodynamics in arterial tree.
Matematičeskoe modelirovanie, Tome 18 (2006) no. 8, pp. 25-36 
E. V. Astrakhantseva; V. Yu. Gidaspov; U. G. Pirumov; D. L. Reviznikov. Numerical simulation of hemodynamics in arterial tree.. Matematičeskoe modelirovanie, Tome 18 (2006) no. 8, pp. 25-36. http://geodesic.mathdoc.fr/item/MM_2006_18_8_a3/
@article{MM_2006_18_8_a3,
     author = {E. V. Astrakhantseva and V. Yu. Gidaspov and U. G. Pirumov and D. L. Reviznikov},
     title = {Numerical simulation of hemodynamics in arterial tree.},
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     pages = {25--36},
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     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_8_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A mathematical model of the cardiovascular system consisting of 55 large arteries is considered. For numerical simulation of the blood flow TVD-schemes of second order accuracy both in time and space are used. Solution of hemodynamics problem is obtained for undisturbed conditions as well as for regimes of pressured blood vessels. The detailed time and space flow structure is studied. On the basis of numerical results some effects observed in the process of blood pressure measurement are analyzed.

[1] Rathish Kumar B. V., Quarteroni A., Formaggia L., Lamponi D., “On parallel computation of blood flow in human arterial network based on 1-D modelling”, Computing, 71 (2003), 321–351 | DOI | MR | Zbl

[2] Astrakhantseva E. V., Gidaspov V. Yu., Reviznikov D. L., “Matematicheskoe modelirovanie gemodinamiki krupnykh krovenosnykh sosudov”, Matem. modelirovanie, 17:8 (2005), 61–80 | Zbl

[3] Pontrelli G., “A Multiscale Approach for Modelling Wave Propagation in an Arterial Segment”, Computer Methods in Biomechanics and Biomedical Engineering, 7:2 (2004), 79–89 | DOI

[4] Formaggia L., Nobile F., Quarteroni A., Veneziani A., “Multiscale modelling of the circulatory system: a preliminary analysis”, Computing and Visualization in Science, 1999, no. 2, 75–83 | DOI | Zbl

[5] Abakumov M. V., Esikova N. B., Mukhin S. I., Sosnin N. V., Tishkin V. F., Favorskii A. P., Raznostnaya skhema resheniya zadach gemodinamiki na grafe, preprint, Dialog-MGU, M., 1998

[6] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fazmatlit, M., 2001 | MR

[7] Avanzolini G., Barbini P., Cappello A., Cevenini G., “CADCS simulation of the closed-loop cardiovascular system”, International Journal of Biomedical Computations, 1988, no. 22, 39–49 | DOI

[8] Begun P. I., Shukeilo Yu. A., Biomekhanika, Sankt-Peterburg, 2000

[9] Drzewiecki G., Field S., Moubarak I., Li J. K.-J., “Vessel growth and collapsible pressure-area relationship”, American Journal of Physiology - Heart and Circulatory Phiysiology, 273 (1997), 2030–2043

[10] Makkartin B. Zh., “Primenenie eksponentsialnykh splainov v vychislitelnoi gidrodinamike”, Aerokosmicheskaya tekhnika, 2:4 (1984), 13–20

[11] Rogoza A. N., “Metody neinvazivnogo izmereniya arterialnogo davleniya”, Atmosfera. Kardiologiya, 2001, no. 1, 20–24

[12] Drzewieci G. M., Melbin J. Noordergraaf, “The Korotkoff sounds”, Annals of Biomedical Engineering, 17 (1989), 325–359 | DOI