Hypergravity and gravity changes encountered in, e.g., airplanes, rollercoasters, and spaceflight can result in headaches or loss of consciousness due to decreased cerebral blood flow. This paper describes the effect of hypergravity and gravity changes on the pressure in the aorta and the distension of its wall. The model presented consists of a pressure part caused by gravity and a part representing pressure waves propagating through the vessel. The total pressure is described by a one-dimensional formulation in the frequency domain. To accommodate for geometrical and material variations, the vessel is modeled as a series of sections in which multiple reflections can occur. Results are presented for constant and varying gravity in straight and tapered flexible vessels.

References

1.
Tran
,
C. C.
,
Florence
,
G.
,
Tinet
,
E.
,
Lagarde
,
D.
,
Bouy
,
J.
,
Van Beers
,
P.
,
Serra
,
A.
,
Avrillier
,
S.
,
Ollivier
,
J.
,
2003
, “
Cerebral Hemodynamics and Brain Oxygen Changes Related to Gravity-Induced Loss of Consciousness in Rhesus Monkeys
,”
Neurosci. Lett
,
338
(
1
), pp.
67
71
.10.1016/S0304-3940(02)01340-X
2.
Serrador
,
J. M.
,
Schlegel
,
T. T.
,
Black
,
F. O.
, and
Wood
,
S. J.
,
2005
, “
Celebral Hypoperfusion Precedes Nausea During Centrifugation
,”
Aviat., Space Environ. Med.
,
76
(
2
), pp.
91
96
.
3.
Hiatt
,
E. P.
, and
Meechan
,
J. P.
, and
Galambos
,
A. J.
,
1969
, Reports on Human Acceleration, Publication 901, NAS-NRC, Washington, DC.
4.
Burton
,
R. R.
,
Leverett
, Jr
.,
Michaelsow
,
E. D.
,
1974
, “
Man at High Sustained +Gz Acceleration: A Review
,”
Aerosp. Med.
46
, pp.
1251
1253
.
5.
Herault
,
S.
,
Tobal
,
N.
,
Normand
,
H.
,
Roumy
,
J.
,
Denise
,
P.
, and
Arbeille
,
P.
,
2002
, “
Effect of Human Head Flexion on the Control of Peripheral Blood Flow in Microgravity and in 1 g
,”
Eur. J. Appl. Physiol.
,
87
(
3
), pp.
296
303
.10.1007/s00421-002-0619-z
6.
Linnarsson
,
D.
,
Sundberg
,
C. J.
,
Tedner
,
B.
,
Haruna
,
Y.
,
Karemaker
,
J. M.
,
Antonutto
,
G.
, and
Di Prampero
,
P. E.
,
1996
, “
Blood Pressure and Heart Rate Responses to Sudden Changes of Gravity During Exercise
,”
Am. J. Physiol.
,
270
(
6 Pt 2
), pp.
H2132
H2142
.
7.
Pump
,
B.
,
Videbaek
,
R.
,
Gabrielsen
,
A.
, and
Norsk
,
P.
,
1999
, “
Arterial Pressure in Humans During Weightlessness Induced by Parabolic Flights
,”
J. Appl. Physiol.
,
87
(
3
), pp.
928
932
.
8.
Caiozzo
,
V. J.
,
Rose-Gottron
,
C.
,
Baldwin
,
K. M.
,
Cooper
,
D.
,
Adams
,
G.
,
Hicks
,
J.
,
Kreitenberg
,
A.
,
2004
, “
Hemodynamic and Metabolic Responses to Hypergravity on a Human-Powered Centrifuge
,”
Aviat. Space Environ. Med.
,
75
(
2
), pp.
101
108
.
9.
Watenpaugh
,
D. E.
,
Breit
,
G. A.
,
Buckley
,
T. M.
,
Ballard
,
R. E.
,
Murthy
,
G.
, and
Hargens
,
A. R.
,
2004
, “
Human Cutaneous Vascular Responses to Whole-Body Tilting, Gz Centrifugation, and LBNP
,”
J. Appl. Physiol.
,
96
(
6
), pp.
2153
2160
.10.1152/japplphysiol.00198.2003
10.
Cirovic
,
S.
,
Walsh
,
C.
, and
Fraser
,
W. D.
,
2001
, “
A Mechanical Model of Cerebral Circulation During Sustained Acceleration
,”
Aviat. Space Environ. Med.
,
72
(
8
), pp.
704
712
.
11.
Giannopapa
,
C. G.
,
2004
, “
Fluid Structure Interaction in Flexible Vessels
,” Ph.D. thesis, King's college London.
12.
Russomano
,
T.
,
Rizzatti
,
M. R.
,
Coelho
,
R. P.
,
Scolari
,
D.
,
De Souza
,
D.
, and
PraVeleda
,
P.
,
2007
, “
Effects of Simulated Hypergravity on Biomedical Experiments
,”
IEEE Eng. Med. Biol. Mag.
, pp.
66
71
.10.1109/MEMB.2007.364932
13.
Falle
,
S. A. E. G.
,
Brook
,
B. S.
, and
Pedley
,
T. J.
,
1999
, “
Numerical Solutions for Unsteady Gravity-Driven Flows in Collapsible Tubes: Evolution and Roll-Wave Instability of a Steady State
,”
J. Fluid Mech.
,
396
, pp.
223
256
.10.1017/S0022112099006084
14.
Kim
,
C. S.
,
Kiris
,
C.
,
Kwak
,
D.
, and
David
,
T.
,
2006
, “
Numerical Simulation of Local Blood Flow in the Carotid and Cerebral Arteries Under Altered Gravity
,”
J. Biomech. Eng.
,
128
(
2
), pp.
194
202
.10.1115/1.2165691
15.
Srivastava
,
L. M.
,
Edemeka
,
U. E.
, and
Srivastava
,
V. P.
,
1994
, “
Effects of External Body Accelerations on Blood Flow
,”
Jpn. J. Appl. Phys.
, Part 1,
33
, pp.
3648
3655
.10.1143/JJAP.33.3648
16.
Sud
,
V. K.
, and
Sekhon
,
G. S.
,
1985
, “
Arterial Flow Under Periodic Body Acceleration
,”
Bull. Math. Biol.
,
47
, pp.
35
52
.
17.
Halliwell
,
A. R.
,
1963
, “
Velocity of a Waterhammer Wave in an Elastic Pipe
,”
ASCE J. Hydr. Div.
,
89
, pp.
1
21
.
18.
Rieutord
,
E.
,
1982
, “
Transient Response of Fluid Viscoelastic Lines
,”
ASME J. Fluids Eng.
,
104
, pp.
335
341
.10.1115/1.3241845
19.
Rubinov
,
S. I.
, and
Keller
,
J. B.
,
1978
, “
Wave Propagation in Viscoelastic Tube Containing a Viscous Fluid
,”
J. Fluid Mech.
,
88
, pp.
181
203
.10.1017/S0022112078002049
20.
Tijsseling
,
A. S.
,
1996
, “
Fluid-Structure Interaction in Liquid-Filled Pipe Systems: A Review
,”
J. Fluids Struct.
,
10
, pp.
109
146
.10.1006/jfls.1996.0009
21.
Cox
,
R. H.
,
1969
, “
Comparison of Linearized Wave Propagation Models for Arterial Blood Flow Analysis
,”
J. Biomech.
,
2
, pp.
251
265
.10.1016/0021-9290(69)90082-7
22.
Sherwin
,
S. J.
,
Franke
,
V.
,
Peiró
,
J.
, and
Parker
,
K. H.
,
2003
, “
Onedimensional Modelling of a Vascular Network in Space-Time Variables
,”
J. Eng. Math.
,
47
, pp.
217
250
.10.1023/B:ENGI.0000007979.32871.e2
23.
Formaggia
,
L.
,
Gerbeau
,
J. F.
,
Nobile
,
F.
, and
Quarteroni
,
A.
,
2001
, “
On the Coupling of 3D and 1D Navier-Stokes Equations for Flow Problems in Compliant Vessels
,”
Comput. Methods Appl. Mech. Eng.
,
191
, pp.
561
582
.10.1016/S0045-7825(01)00302-4
24.
Bathe
,
K. J.
, and
Zhang
,
H.
,
2004
, “
Finite Element Developments for General Fluid Flows With Structural Interactions
,”
Int. J. Numer. Methods Eng.
,
60
, pp.
213
232
.10.1002/nme.959
25.
Giannopapa
,
C. G.
,
Kroot
,
J. M. B.
,
Tijsseling
,
A. S.
,
Rutten
,
M. C. M.
, and
Van de Vosse
,
F. N.
,
2010
, “
Wave Propagation in Thin-Walled Aortic Analogues
,”
J. Fluids Eng.
,
132
, pp.
1
6
.10.1115/1.4000792
26.
Womersley
,
J. R.
,
1957
, “
An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries
,” Technical Report No. WADC-TR-56-614, Wright Air Development Center, Dayton, OH.
27.
Parker
,
K. H.
,
2009
, “
A Brief History of Arterial Wave Mechanics
,”
Med. Biol. Eng. Comput.
,
47
(
2
), pp.
111
118
.10.1007/s11517-009-0440-5
28.
Westerhof
,
N.
,
Bosman
,
F.
,
Vries
,
C. J. D.
, and
Noordergraaf
,
A.
,
1969
, “
Analogue Studies of the Human Systematic Arterial Tree
,”
J. Biomech.
,
2
, pp.
121
143
.10.1016/0021-9290(69)90024-4
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