### Abstract

The heart is modeled as a system of elastic and/or contractile fibers immersed in a viscous incompressible fluid. Simulated heart walls and valves are constructed by arranging the fibers according to an idealized version of the actual distribution of muscle fibers in the heart walls and collagen fibers in the valve leaflets. Then the combined motion of the fluid-fiber system is predicted through the numerical solution of its coupled equations of motion. Fluid equations are solved by a finite difference method on a fixed, regular computational lattice. Fiber points move freely through this lattice without being constrained to lie at the lattice intersections. Communication between fibers and fluid involves interpolation of the fluid velocity to the fiber points and the spreading of the fiber forces to the computational lattice of the fluid. Both of these operations make use of a smoothed approximation to the Dirac delta function. The entire method is suitable for implementation on vector, parallel, or parallel-vector hardware. Applications include the investigation of normal cardiac function, the simulation of disease processes affecting the mechanical function of the heart or its valves, and the computer-assisted design of prosthetic cardiac valves.

Original language | English (US) |
---|---|

Pages (from-to) | 451-459 |

Number of pages | 9 |

Journal | Critical Reviews in Biomedical Engineering |

Volume | 20 |

Issue number | 5-6 |

State | Published - 1992 |

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### ASJC Scopus subject areas

- Biomedical Engineering

### Cite this

*Critical Reviews in Biomedical Engineering*,

*20*(5-6), 451-459.

**Cardiac fluid dynamics.** / Peskin, Charles; McQueen, D. M.

Research output: Contribution to journal › Article

*Critical Reviews in Biomedical Engineering*, vol. 20, no. 5-6, pp. 451-459.

}

TY - JOUR

T1 - Cardiac fluid dynamics

AU - Peskin, Charles

AU - McQueen, D. M.

PY - 1992

Y1 - 1992

N2 - The heart is modeled as a system of elastic and/or contractile fibers immersed in a viscous incompressible fluid. Simulated heart walls and valves are constructed by arranging the fibers according to an idealized version of the actual distribution of muscle fibers in the heart walls and collagen fibers in the valve leaflets. Then the combined motion of the fluid-fiber system is predicted through the numerical solution of its coupled equations of motion. Fluid equations are solved by a finite difference method on a fixed, regular computational lattice. Fiber points move freely through this lattice without being constrained to lie at the lattice intersections. Communication between fibers and fluid involves interpolation of the fluid velocity to the fiber points and the spreading of the fiber forces to the computational lattice of the fluid. Both of these operations make use of a smoothed approximation to the Dirac delta function. The entire method is suitable for implementation on vector, parallel, or parallel-vector hardware. Applications include the investigation of normal cardiac function, the simulation of disease processes affecting the mechanical function of the heart or its valves, and the computer-assisted design of prosthetic cardiac valves.

AB - The heart is modeled as a system of elastic and/or contractile fibers immersed in a viscous incompressible fluid. Simulated heart walls and valves are constructed by arranging the fibers according to an idealized version of the actual distribution of muscle fibers in the heart walls and collagen fibers in the valve leaflets. Then the combined motion of the fluid-fiber system is predicted through the numerical solution of its coupled equations of motion. Fluid equations are solved by a finite difference method on a fixed, regular computational lattice. Fiber points move freely through this lattice without being constrained to lie at the lattice intersections. Communication between fibers and fluid involves interpolation of the fluid velocity to the fiber points and the spreading of the fiber forces to the computational lattice of the fluid. Both of these operations make use of a smoothed approximation to the Dirac delta function. The entire method is suitable for implementation on vector, parallel, or parallel-vector hardware. Applications include the investigation of normal cardiac function, the simulation of disease processes affecting the mechanical function of the heart or its valves, and the computer-assisted design of prosthetic cardiac valves.

UR - http://www.scopus.com/inward/record.url?scp=0027048596&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027048596&partnerID=8YFLogxK

M3 - Article

C2 - 1486785

AN - SCOPUS:0027048596

VL - 20

SP - 451

EP - 459

JO - Critical Reviews in Biomedical Engineering

JF - Critical Reviews in Biomedical Engineering

SN - 0278-940X

IS - 5-6

ER -