An efficient full space-time discretization method for subject-specific hemodynamic simulations of cerebral arterial blood flow with distensible wall mechanics
A computationally inexpensive mathematical solution approach using orthogonal collocations for space discretization with temporal Fourier series is proposed to compute subject-specific blood flow in distensible vessels of large cerebral arterial networks. Several models of wall biomechanics were con...
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| Published in | Journal of biomechanics Vol. 87; pp. 37 - 47 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
Elsevier Ltd
18.04.2019
Elsevier Limited |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0021-9290 1873-2380 1873-2380 |
| DOI | 10.1016/j.jbiomech.2019.02.014 |
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| Abstract | A computationally inexpensive mathematical solution approach using orthogonal collocations for space discretization with temporal Fourier series is proposed to compute subject-specific blood flow in distensible vessels of large cerebral arterial networks. Several models of wall biomechanics were considered to assess their impact on hemodynamic predictions. Simulations were validated against in vivo blood flow measurements in six human subjects. The average root-mean-square relative differences were found to be less than 4.3% for all subjects with a linear elastic wall model. This discrepancy decreased further in a viscoelastic Kelvin-Voigt biomechanical wall. The results provide support for the use of collocation-Fourier series approach to predict clinically relevant blood flow distribution and collateral blood supply in large portions of the cerebral circulation at reasonable computational costs. It thus opens the possibility of performing computationally inexpensive subject-specific simulations that are robust and fast enough to predict clinical results in real time on the same day. |
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| AbstractList | A computationally inexpensive mathematical solution approach using orthogonal collocations for space discretization with temporal Fourier series is proposed to compute subject-specific blood flow in distensible vessels of large cerebral arterial networks. Several models of wall biomechanics were considered to assess their impact on hemodynamic predictions. Simulations were validated against in vivo blood flow measurements in six human subjects. The average root-mean-square relative differences were found to be less than 4.3% for all subjects with a linear elastic wall model. This discrepancy decreased further in a viscoelastic Kelvin-Voigt biomechanical wall. The results provide support for the use of collocation-Fourier series approach to predict clinically relevant blood flow distribution and collateral blood supply in large portions of the cerebral circulation at reasonable computational costs. It thus opens the possibility of performing computationally inexpensive subject-specific simulations that are robust and fast enough to predict clinical results in real time on the same day. A computationally inexpensive mathematical solution approach using orthogonal collocations for space discretization with temporal Fourier series is proposed to compute subject-specific blood flow in distensible vessels of large cerebral arterial networks. Several models of wall biomechanics were considered to assess their impact on hemodynamic predictions. Simulations were validated against in vivo blood flow measurements in six human subjects. The average root-mean-square relative differences were found to be less than 4.3% for all subjects with a linear elastic wall model. This discrepancy decreased further in a viscoelastic Kelvin-Voigt biomechanical wall. The results provide support for the use of collocation-Fourier series approach to predict clinically relevant blood flow distribution and collateral blood supply in large portions of the cerebral circulation at reasonable computational costs. It thus opens the possibility of performing computationally inexpensive subject-specific simulations that are robust and fast enough to predict clinical results in real time on the same day.A computationally inexpensive mathematical solution approach using orthogonal collocations for space discretization with temporal Fourier series is proposed to compute subject-specific blood flow in distensible vessels of large cerebral arterial networks. Several models of wall biomechanics were considered to assess their impact on hemodynamic predictions. Simulations were validated against in vivo blood flow measurements in six human subjects. The average root-mean-square relative differences were found to be less than 4.3% for all subjects with a linear elastic wall model. This discrepancy decreased further in a viscoelastic Kelvin-Voigt biomechanical wall. The results provide support for the use of collocation-Fourier series approach to predict clinically relevant blood flow distribution and collateral blood supply in large portions of the cerebral circulation at reasonable computational costs. It thus opens the possibility of performing computationally inexpensive subject-specific simulations that are robust and fast enough to predict clinical results in real time on the same day. |
| Author | Linninger, Andreas A. Du, Xinjian Charbel, Fady T. Park, Chang Sub Alaraj, Ali |
| AuthorAffiliation | 2 Department of Neurosurgery, University of Illinois at Chicago 1 Department of Bioengineering, University of Illinois at Chicago |
| AuthorAffiliation_xml | – name: 2 Department of Neurosurgery, University of Illinois at Chicago – name: 1 Department of Bioengineering, University of Illinois at Chicago |
| Author_xml | – sequence: 1 givenname: Chang Sub surname: Park fullname: Park, Chang Sub organization: Department of Bioengineering, University of Illinois at Chicago, USA – sequence: 2 givenname: Ali surname: Alaraj fullname: Alaraj, Ali organization: Department of Neurosurgery, University of Illinois at Chicago, USA – sequence: 3 givenname: Xinjian surname: Du fullname: Du, Xinjian organization: Department of Neurosurgery, University of Illinois at Chicago, USA – sequence: 4 givenname: Fady T. surname: Charbel fullname: Charbel, Fady T. organization: Department of Neurosurgery, University of Illinois at Chicago, USA – sequence: 5 givenname: Andreas A. surname: Linninger fullname: Linninger, Andreas A. email: linninge@uic.edu organization: Department of Bioengineering, University of Illinois at Chicago, USA |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/30876734$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1109_ACCESS_2020_3007737 crossref_primary_10_3390_bioengineering11010072 crossref_primary_10_1111_micc_12687 crossref_primary_10_1177_0271678X231214840 crossref_primary_10_1002_cnm_70020 crossref_primary_10_1016_j_cjph_2023_03_012 crossref_primary_10_1109_TMI_2022_3161653 crossref_primary_10_1016_j_jmbbm_2023_106265 |
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| Keywords | One-dimensional blood flow Quantitative magnetic resonance angiography Cerebral arterial tree Pulsatile flow Fluid-structure interaction |
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| SubjectTerms | Arteries - physiology Biomechanics Blood circulation Blood flow Blood Flow Velocity Blood vessels Cerebral arterial tree Cerebral blood flow Cerebrovascular Circulation - physiology Computer applications Computer Simulation Conflicts of interest Discretization Flow distribution Fluid-structure interaction Fourier series Hemodynamics Hemodynamics - physiology Humans Mathematical models Models, Cardiovascular One-dimensional blood flow Pulsatile flow Quantitative magnetic resonance angiography Robustness (mathematics) Simulation Spacetime Veins & arteries Viscoelasticity |
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| Title | An efficient full space-time discretization method for subject-specific hemodynamic simulations of cerebral arterial blood flow with distensible wall mechanics |
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