References
-
Olufsen
M S
“Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Condition”
Annals of Biomedical Engineering
2000
28
11
1281
1299
10.1114/1.1326031
URL:
http://link.springer.com/article/10.1114/1.1326031 -
Sherwin
S J
“Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system”
International Journal for Numerical Methods In Fluids
2003
43
6–7
673
700
10.1002/fld.543
URL:
http://onlinelibrary.wiley.com/doi/10.1002/fld.543/abstract - Alastruey J “Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows” Journal of Biomechanics 2007 40 8 1794 1805 10.1016/j.jbiomech.2006.008
-
Kolachalama
V
“Predictive Haemodynamics in a One-Dimensional Carotid Artery Bifurcation. Part I Application to Stent Design”
IEEE Transactions on Biomedical Engineering
2007
54
5
802
812
10.1109/TBME.2006.889188
URL:
http://ieeexplore.ieee.org/document/4155000/ -
Cousins
W
Gremaud
P A
“Impedance boundary conditions for general transient hemodynamics”
International Journal for Numerical Methods in Biomedical Engineering
2014
30
11
1249
1313
10.1002/cnm.2658
URL:
http://onlinelibrary.wiley.com/doi/10.1002/cnm.2658/abstract - Diem A K “Prediction of Perivascular Drainage of Ab from the Brain Using Computational Modelling: Implications for Alzheimer’s Disease”. PhD thesis 2016 University of Southampton
- LeVeque R J Numerical Methods for Conservation Laws 1992 2nd Basel, Switzerland Birkhäuser Verlag 122 135 10.1007/978-3-0348-8629-1_12
-
Richtmyer
R D
“A Survey of Difference Methods for Non-Steady Fluid Dynamics”
NCAR Technical Notes
1963
63
2
10.5065/D67P8WCQ
URL:
http://opensky.ucar.edu/islandora/object/technotes:49 -
Smith
N P
Pullan
A J
Hunter
P J
“An Anatomically Based Model of Transient Coronary Blood Flow in the Heart”
SIAM Journal on Applied Mathematics
2002
62
3
990
1018
0036-1399 10.1137/S0036139999355199 URL:http://epubs.siam.org/doi/abs/10.1137/S0036139999355199 -
Azer
K
Peskin
C S
“A One-dimensional Model of Blood Flow in Arteries with Friction and Convection Based on the Womersley Velocity Profile”
Cardiovascular Engineering
2007
7
2
51
73
https://link.springer.com/article/10.1007/s10558-007-9031-y 10.1007/s10558-007-9031-y -
Itu
L M
Suciu
C
“Analysis of outflow boundary condition implementations for 1D blood flow models”
Proceedings of the 3rd International Conference on E-Health and Bioengineering
2011
4
24
27
URL:
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6150403 -
Mynard
J P
Nithiarasu
P
“A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method”
Communications in Numerical Methods in Engineering
2008
24
367
417
20407939 10.1002/cnm.1117 URL:http://onlinelibrary.wiley.com/doi/10.1002/cnm.1117/full -
Manini
S
“pyNS: An Open-Source Framework for 0D Haemodynamic Modelling”
Annals of Biomedical Engineering
2015
43
6
1461
1473
15739686 10.1007/s10439-014-1234-y URL:https://link.springer.com/article/10.1007/s10439-014-1234-y -
Devault
K
“Blood Flow in the Circle of Willis Modeling and Calibration”
Multiscale Modeling & Simulation
2008
7
2
888
909
10.1137/07070231X
URL:
http://epubs.siam.org/doi/abs/10.1137/07070231X -
Olufsen
M S
“Modeling of the Arterial System with Reference to an Anesthesia Simulator”. PhD Thesis
1998
Denmark
University of Roskilde
URL:
http://rudar.ruc.dk/handle/1800/744 - Chnafa C “Improved reduced-order modelling of cerebrovascular flow distribution by accounting for arterial bifurcation pressure drops” Journal of Biomechanicsiomechanics 2017 51 83 88 10.1016/j.jbiomech.2016.12.004
-
Bakker
E N T P
“Lymphatic Clearance of the Brain Perivascular, Paravascular and Significance for Neurodegenerative Diseases”
Cellular and Molecular Neurobiology
2016
36
2
181
194
10.1007/s10571-015-0273-8
URL:
https://link.springer.com/article/10.1007/s10571-015-0273-8