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Blood Flow Analysis Using Medical Imaging Data and Streamline Visualization

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Part of the book series: Mathematics for Industry ((MFI,volume 4))

Abstract

A numerical simulation of blood flow in the thoracic aorta is presented. Patient-specific aorta shapes are used in a centerline-fitted curvilinear coordinate system in which the Navier–Stokes equation is discretized using finite-difference approximation with immersed boundary method. Numerical results are visualized by drawing instantaneous streamlines to exhibit the flow structures. Dean vortices and the transition from them to a swirling flow are observed by comparing the original shapes and projected shapes that have no torsion.

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Acknowledgments

This work was supported by the JST-CREST Mathematics program.

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Correspondence to Hiroshi Suito .

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© 2014 Springer Japan

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Suito, H., Ueda, T. (2014). Blood Flow Analysis Using Medical Imaging Data and Streamline Visualization. In: Anjyo, K. (eds) Mathematical Progress in Expressive Image Synthesis I. Mathematics for Industry, vol 4. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55007-5_14

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  • DOI: https://doi.org/10.1007/978-4-431-55007-5_14

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-55006-8

  • Online ISBN: 978-4-431-55007-5

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