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Reduced-order modeling of blood flow for noninvasive functional evaluation of coronary artery disease
- Source :
- Biomechanics and Modeling in Mechanobiology. 18:1867-1881
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- We present a novel computational approach, based on a parametrized reduced-order model, for accelerating the calculation of pressure drop along blood vessels. Vessel lumina are defined by a geometric parametrization using the discrete empirical interpolation method on control points located on the surface of the vessel. Hemodynamics are then computed using a reduced-order representation of the parametrized three-dimensional unsteady Navier-Stokes and continuity equations. The reduced-order model is based on an offline-online splitting of the solution process, and on the projection of a finite volume full-order model on a low-dimensionality subspace generated by proper orthogonal decomposition of pressure and velocity fields. The algebraic operators of the hemodynamic equations are assembled efficiently during the online phase using the discrete empirical interpolation method. Our results show that with this approach calculations can be sped up by a factor of about 25 compared to the conventional full-order model, while maintaining prediction errors within the uncertainty limits of invasive clinical measurement of pressure drop. This is of importance for a clinically viable implementation of noninvasive, medical imaging-based computation of fractional flow reserve.
- Subjects :
- Time Factors
Finite volumes method
Discrete empirical interpolation method
Computer science
Computation
Physics::Medical Physics
0206 medical engineering
2210 Mechanical Engineering
610 Medicine & health
02 engineering and technology
Computational fluid dynamics
Coronary artery disease
FFR
Projection (linear algebra)
10052 Institute of Physiology
Reduced-order modeling
Pressure
Humans
Applied mathematics
Navier–Stokes
Proper orthogonal decomposition
Reduced basis method
Pressure drop
Finite volume method
10042 Clinic for Diagnostic and Interventional Radiology
business.industry
Mechanical Engineering
Hemodynamics
020601 biomedical engineering
10020 Clinic for Cardiac Surgery
Fractional Flow Reserve, Myocardial
Databases as Topic
Cardiovascular Diseases
10076 Center for Integrative Human Physiology
Modeling and Simulation
1305 Biotechnology
business
Parametrization
Blood Flow Velocity
Subspace topology
2611 Modeling and Simulation
Biotechnology
Interpolation
Subjects
Details
- ISSN :
- 16177940 and 16177959
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Biomechanics and Modeling in Mechanobiology
- Accession number :
- edsair.doi.dedup.....731d568897032c62f424bb81a81cc582