### Abstract

A reconstruction method is proposed here to quantify the distribution of blood flow velocity fields inside the left ventricle from color Doppler echocardiography measurement. From 3D incompressible Navier- Stokes equation, a 2D incompressible Navier-Stokes equation with a mass source term is derived to utilize the measurable color flow ultrasound data in a plane along with the moving boundary condition. The proposed model reflects out-of-plane blood flows on the imaging plane through the mass source term. For demonstrating a feasibility of the proposed method, we have performed numerical simulations of the forward problem and numerical analysis of the reconstruction method. First, we construct a 3D moving LV region having a specific stroke volume. To obtain synthetic intra-ventricular flows, we performed a numerical simulation of the forward problem of Navier-Stokes equation inside the 3D moving LV, computed 3D intra-ventricular velocity fields as a solution of the forward problem, projected the 3D velocity fields on the imaging plane and took the inner product of the 2D velocity fields on the imaging plane and scanline directional velocity fields for synthetic scanline directional projected velocity at each position. The proposed method utilized the 2D synthetic projected velocity data for reconstructing LV blood flow. By computing the difference between synthetic flow and reconstructed flow fields, we obtained the averaged point-wise errors of 0.06 m/s and 0.02 m/s for u- and v-components, respectively.

Original language | English |
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Title of host publication | Medical Imaging 2015 |

Subtitle of host publication | Biomedical Applications in Molecular, Structural, and Functional Imaging |

Editors | Barjor Gimi, Robert C. Molthen |

Publisher | SPIE |

ISBN (Electronic) | 9781628415070 |

DOIs | |

Publication status | Published - 2015 |

Event | Medical Imaging 2015: Biomedical Applications in Molecular, Structural, and Functional Imaging - Orlando, United States Duration: 2015 Feb 24 → 2015 Feb 26 |

### Publication series

Name | Progress in Biomedical Optics and Imaging - Proceedings of SPIE |
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Volume | 9417 |

ISSN (Print) | 1605-7422 |

### Other

Other | Medical Imaging 2015: Biomedical Applications in Molecular, Structural, and Functional Imaging |
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Country | United States |

City | Orlando |

Period | 15/2/24 → 15/2/26 |

### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Biomaterials
- Atomic and Molecular Physics, and Optics
- Radiology Nuclear Medicine and imaging

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## Cite this

*Medical Imaging 2015: Biomedical Applications in Molecular, Structural, and Functional Imaging*[941728] (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 9417). SPIE. https://doi.org/10.1117/12.2081308