title: Lagrangian analysis of hemodynamics data from FSI simulation.
abstract: We present the computation of lagrangian-based flow characterization measures for time-dependent, deformable-wall, finite-element blood flow simulations. Applicability of the algorithm is demonstrated in a fluid-structure interaction simulation of blood flow through a total cavopulmonary connection (Fontan procedure), and results are compared with a rigid-vessel simulation. Specifically, we report on several important lagrangian-based measures including flow distributions, finite-time Lyapunov exponent fields, particle residence time, and exposure time calculations. Overall, strong similarity in lagrangian measures of the flow between deformable and rigid-vessel models was observed.
authors.affiliation: Illinois Institute of Technology, Chicago, IL, USA.
authors.forename: Vincent
authors.initials: V
authors.lastname: Duvernois
authors.forename: Alison L
authors.initials: AL
authors.lastname: Marsden
authors.forename: Shawn C
authors.initials: SC
authors.lastname: Shadden
mesh_terms: D000465:Algorithms; D001783:Blood Flow Velocity / Q000502:physiology*; D002675:Child, Preschool; D003198:Computer Simulation; D018729:Fontan Procedure; D006439:Hemodynamics / Q000502:physiology*; D006801:Humans; D008297:Male; D008955:Models, Cardiovascular; D014682:Vena Cava, Inferior / Q000033:anatomy & histology / Q000502:physiology
references.citation: J Thorac Cardiovasc Surg. 2009 Feb;137(2):394-403.e2
references.pmid: 19185159
references.citation: Ann Biomed Eng. 2011 Aug;39(8):2186-202
references.pmid: 21509633
references.citation: Ann Biomed Eng. 2010 Dec;38(12):3688-705
references.pmid: 20589532
references.citation: IEEE Eng Med Biol Mag. 1999 Nov-Dec;18(6):33-9
references.pmid: 10576070
references.citation: J Biomech Eng. 2004 Dec;126(6):709-13
references.pmid: 15796329
references.citation: Ann Biomed Eng. 2007 Feb;35(2):250-63
references.pmid: 17171509
references.citation: Chaos. 2010 Mar;20(1):017512
references.pmid: 20370302
references.citation: Ann Thorac Surg. 2004 Aug;78(2):697-9
references.pmid: 15276554
references.citation: J Biomech. 2011 Apr 7;44(6):1123-31
references.pmid: 21310418
references.citation: J Thorac Cardiovasc Surg. 1988 Nov;96(5):682-95
references.pmid: 3184963
references.citation: Biomech Model Mechanobiol. 2012 Jan;11(1-2):1-18
references.pmid: 21308393
references.citation: Pediatr Cardiol. 2007 Nov-Dec;28(6):477-81
references.pmid: 17763891
references.citation: Circulation. 2001 Feb 27;103(8):E39-40
references.pmid: 11222486
references.citation: Ann Biomed Eng. 2011 Feb;39(2):864-83
references.pmid: 21103933
references.citation: J Biomech. 1995 Jul;28(7):845-56
references.pmid: 7657682
references.citation: J Appl Physiol (1985). 1963 May 01;18(3):557-559
references.pmid: 31095349
references.citation: IEEE Trans Med Imaging. 2005 Apr;24(4):457-67
references.pmid: 15822804
references.citation: Comput Methods Programs Biomed. 2006 Mar;81(3):220-7
references.pmid: 16455152
references.citation: IEEE Trans Med Imaging. 2003 Jul;22(7):875-81
references.pmid: 12906241
references.citation: J Biomech. 2006;39(6):1010-20
references.pmid: 16549092
references.citation: Congenit Heart Dis. 2010 Mar-Apr;5(2):104-17
references.pmid: 20412482
references.citation: J Thorac Cardiovasc Surg. 1996 Mar;111(3):502-13
references.pmid: 8601964
references.citation: Chaos. 2010 Mar;20(1):017509
references.pmid: 20370299
references.citation: Philos Trans A Math Phys Eng Sci. 2011 Nov 13;369(1954):4316-30
references.pmid: 21969678
references.citation: Int J Numer Method Biomed Eng. 2012 May;28(5):513-27
references.pmid: 25099455
references.citation: Int J Numer Method Biomed Eng. 2012 Sep;28(9):937-59
references.pmid: 22941924
references.citation: Circulation. 2000 Nov 7;102(19 Suppl 3):III148-53
references.pmid: 11082378
references.citation: J Biomech. 2008 Jul 19;41(10):2246-52
references.pmid: 18508062
references.citation: Phys Rev Lett. 2007 Apr 6;98(14):144502
references.pmid: 17501277
references.citation: Proc IEEE Inst Electr Electron Eng. 2008 Aug 1;96(8):1266
references.pmid: 20107615
references.citation: J Biomech Eng. 1996 May;118(2):158-64
references.pmid: 8738779
references.citation: Cardiovasc Eng. 2010 Jun;10(2):84-90
references.pmid: 20514553
references.citation: Ann Biomed Eng. 2010 Mar;38(3):1188-203
references.pmid: 20087775
references.citation: Biomech Model Mechanobiol. 2011 Jun;10(3):339-55
references.pmid: 20652615
references.citation: Thorax. 1971 May;26(3):240-8
references.pmid: 5089489
references.citation: Ann Biomed Eng. 2008 Jul;36(7):1152-62
references.pmid: 18437573
references.citation: J Vasc Surg. 2009 Apr;49(4):1029-36
references.pmid: 19341890
references.citation: Ann Biomed Eng. 2007 Apr;35(4):546-59
references.pmid: 17294117
references.citation: IEEE Trans Med Imaging. 2003 May;22(5):674-84
references.pmid: 12846436
references.citation: Ann Biomed Eng. 2009 Nov;37(11):2153-69
references.pmid: 19609676
references.citation: Int J Numer Method Biomed Eng. 2011 Jul;27(7):1000-1016
references.pmid: 21765984