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A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease.

Abstract

We have previously described a new approach to planning treatments for cardiovascular disease, Simulation-Based Medical Planning, whereby a physician utilizes computational tools to construct and evaluate a combined anatomic/physiologic model to predict the outcome of alternative treatment plans for an individual patient. Current systems for Simulation-Based Medical Planning utilize finite element methods to solve the time-dependent, three-dimensional equations governing blood flow and provide detailed data on blood flow distribution, pressure gradients and locations of flow recirculation, low wall shear stress and high particle residence. However, these methods are computationally expensive and often require hours of time on parallel computers. This level of computation is necessary for obtaining detailed information about blood flow, but likely is unnecessary for obtaining information about mean flow rates and pressure losses. We describe, herein, a space-time finite element method for solving the one-dimensional equations of blood flow. This method is applied to compute flow rate and pressure in a single segment model, a bifurcation, an idealized model of the abdominal aorta, in three alternate treatment plans for a case of aorto-iliac occlusive disease and in a vascular bypass graft. All of these solutions were obtained in less than 5 min of computation time on a personal computer.

Authors+Show Affiliations

Department of Petroleum Engineering, Durand 213, Stanford University, Stanford, CA 94305-3030, USA.No affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info available

Pub Type(s)

Comparative Study
Journal Article
Research Support, Non-U.S. Gov't

Language

eng

PubMed ID

12186712

Citation

Wan, Jing, et al. "A One-dimensional Finite Element Method for Simulation-based Medical Planning for Cardiovascular Disease." Computer Methods in Biomechanics and Biomedical Engineering, vol. 5, no. 3, 2002, pp. 195-206.
Wan J, Steele B, Spicer SA, et al. A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease. Comput Methods Biomech Biomed Engin. 2002;5(3):195-206.
Wan, J., Steele, B., Spicer, S. A., Strohband, S., Feijóo, G. R., Hughes, T. J., & Taylor, C. A. (2002). A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease. Computer Methods in Biomechanics and Biomedical Engineering, 5(3), pp. 195-206.
Wan J, et al. A One-dimensional Finite Element Method for Simulation-based Medical Planning for Cardiovascular Disease. Comput Methods Biomech Biomed Engin. 2002;5(3):195-206. PubMed PMID: 12186712.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease. AU - Wan,Jing, AU - Steele,Brooke, AU - Spicer,Sean A, AU - Strohband,Sven, AU - Feijóo,Gonzalo R, AU - Hughes,Thomas J R, AU - Taylor,Charles A, PY - 2002/8/21/pubmed PY - 2003/1/23/medline PY - 2002/8/21/entrez SP - 195 EP - 206 JF - Computer methods in biomechanics and biomedical engineering JO - Comput Methods Biomech Biomed Engin VL - 5 IS - 3 N2 - We have previously described a new approach to planning treatments for cardiovascular disease, Simulation-Based Medical Planning, whereby a physician utilizes computational tools to construct and evaluate a combined anatomic/physiologic model to predict the outcome of alternative treatment plans for an individual patient. Current systems for Simulation-Based Medical Planning utilize finite element methods to solve the time-dependent, three-dimensional equations governing blood flow and provide detailed data on blood flow distribution, pressure gradients and locations of flow recirculation, low wall shear stress and high particle residence. However, these methods are computationally expensive and often require hours of time on parallel computers. This level of computation is necessary for obtaining detailed information about blood flow, but likely is unnecessary for obtaining information about mean flow rates and pressure losses. We describe, herein, a space-time finite element method for solving the one-dimensional equations of blood flow. This method is applied to compute flow rate and pressure in a single segment model, a bifurcation, an idealized model of the abdominal aorta, in three alternate treatment plans for a case of aorto-iliac occlusive disease and in a vascular bypass graft. All of these solutions were obtained in less than 5 min of computation time on a personal computer. SN - 1025-5842 UR - https://www.unboundmedicine.com/medline/citation/12186712/A_one_dimensional_finite_element_method_for_simulation_based_medical_planning_for_cardiovascular_disease_ L2 - http://www.tandfonline.com/doi/full/10.1080/10255840290010670 DB - PRIME DP - Unbound Medicine ER -