Skip navigation

Main Menu

Global Menu

Activities

Search

Seminars

Seminars

seminar view

Seminar View

Seminar
FIELD Math:Applied Mathematics
DATE July 19 (Fri), 2019
TIME 15:00-17:30
PLACE 1424
SPEAKER Wanho Lee
HOST Park, Jung-Tae
INSTITUTE 국가수리과학연구소
TITLE A Heart Simulation using the Immersed Boundary Method
ABSTRACT

In this talk, we present a mathematical and computational model of combining the heart and circulatory system to understand the hemodynamics of circulation under normal conditions and ventricular septal defect (VSD). The immersed boundary method has been introduced to describe the interaction between the moving two-dimensional heart and intracardiac blood flow. The whole-heart model is governed by the Navier-Stokes system; this system is combined with a multi-compartment model of circulation using pressure-flow relations and the linearity of the discretized Navier-Stokes system. We investigate the velocity field, flowmeters, and pressure-volume loop in both normal and VSD cases. Simulation results show qualitatively good agreements with others found in the literature. This model, combining the heart and circulation, is useful for understanding the complex, hemodynamic mechanisms involved in normal circulation and cardiac diseases.

REFERENCES
1. P.T. Adeler, “Hemodynamic simulation of the heart using a 2D model and MR data”, IMM-PHD-2001-86, ph.D. thesis, 2001.
2. Y. Kim, W. Lee, and E. Jung, “An immersed boundary heart model coupled with a multicompartment lumped model of the circulatory system”, SIAM J. Sci. Comput., Vol. 32, 2010, pp. 1809-1831.
3. C.S. Peskin, “Flow patterns around heart valves: A numerical method”, J. Comput. Phys., Vol. 10, 1972, pp. 252-271.
4. C.S. Peskin and C. Tu, “Hemodynamics in congenital heart disease”, Comput. Biol. Med., Vol. 16, 1986, pp. 331-359.
5. C.S. Peskin and D.M. McQueen, “Fluid dynamics of the heart and its valves. In case studies in mathematical modeling: Ecology, Physiology, and Cell Biology(H. G. Othmer, F. R. Adler, M. A. Lewis and J. C. Dallon, eds)”, Chapter 14, Prentice-Hall, Englewood Cliffs, New Jersey, 1996.

FILE 914181562638593067_1.pdf
  • list

Seminar List

 

Subject

keyword

date

~