An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model
When modeling the cardiovascular system, the use of boundary conditions that closely represent the interaction between the region of interest and the surrounding vessels and organs will result in more accurate predictions. An often overlooked feature of outlet boundary conditions is the dynamics as...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2011-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.61 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590211438084096 |
|---|---|
| author | Rachel Clipp Brooke Steele |
| author_facet | Rachel Clipp Brooke Steele |
| author_sort | Rachel Clipp |
| collection | DOAJ |
| description | When modeling the cardiovascular system, the use of boundary conditions that closely represent the interaction between the region of interest and the surrounding vessels and organs will result in more accurate predictions. An often overlooked feature of outlet boundary conditions is the dynamics associated with regulation of the distribution of pressure and flow. This study implements a dynamic impedance outlet boundary condition in a one-dimensional fluid dynamics model using the pulmonary vasculature and respiration (feedback mechanism) as an example of a dynamic system. The dynamic boundary condition was successfully implemented and the pressure and flow were predicted for an entire respiration cycle. The cardiac cycles at maximal expiration and inspiration were predicted with a root mean square error of $0.61$ and $0.59$ mm Hg, respectively. |
| format | Article |
| id | doaj-art-bdbe447facfe4e478797554b90953bd6 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-bdbe447facfe4e478797554b90953bd62025-01-24T02:05:22ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-11-0191617410.3934/mbe.2012.9.61An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics modelRachel Clipp0Brooke Steele1Department of Biomedical Engineering, North Carolina State University, Raleigh, NC 27695-7115Department of Biomedical Engineering, North Carolina State University, Raleigh, NC 27695-7115When modeling the cardiovascular system, the use of boundary conditions that closely represent the interaction between the region of interest and the surrounding vessels and organs will result in more accurate predictions. An often overlooked feature of outlet boundary conditions is the dynamics associated with regulation of the distribution of pressure and flow. This study implements a dynamic impedance outlet boundary condition in a one-dimensional fluid dynamics model using the pulmonary vasculature and respiration (feedback mechanism) as an example of a dynamic system. The dynamic boundary condition was successfully implemented and the pressure and flow were predicted for an entire respiration cycle. The cardiac cycles at maximal expiration and inspiration were predicted with a root mean square error of $0.61$ and $0.59$ mm Hg, respectively.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.61pulmonaryrespiration.computational modelingimpedancestructured treehemodynamics |
| spellingShingle | Rachel Clipp Brooke Steele An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model Mathematical Biosciences and Engineering pulmonary respiration. computational modeling impedance structured tree hemodynamics |
| title | An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model |
| title_full | An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model |
| title_fullStr | An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model |
| title_full_unstemmed | An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model |
| title_short | An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model |
| title_sort | evaluation of dynamic outlet boundary conditions in a 1d fluid dynamics model |
| topic | pulmonary respiration. computational modeling impedance structured tree hemodynamics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.61 |
| work_keys_str_mv | AT rachelclipp anevaluationofdynamicoutletboundaryconditionsina1dfluiddynamicsmodel AT brookesteele anevaluationofdynamicoutletboundaryconditionsina1dfluiddynamicsmodel AT rachelclipp evaluationofdynamicoutletboundaryconditionsina1dfluiddynamicsmodel AT brookesteele evaluationofdynamicoutletboundaryconditionsina1dfluiddynamicsmodel |