In this paper, a simulation model based on the partially pressurized collapsible tube model for reproducing noninvasive blood pressure measurement is presented. The model consists of a collapsible tube, which models the pressurized part of the artery, rigid pipes connected to the collapsible tube, which model proximal and distal region far from the pressurized part, and the Windkessel model, which represents the capacitance and the resistance of the distal part of the circulation. The blood flow is simplified to a one-dimensional system. Collapse and expansion of the tube is represented by the change in the cross-sectional area of the tube considering the force balance acting on the tube membrane in the direction normal to the tube axis. They are solved using the Runge-Kutta method. This simple model can easily reproduce the oscillation of inner fluid and corresponding tube collapse typical for the Korotkoff sounds generated by the cuff pressure. The numerical result is compared with the experiment and shows good agreement.

1.
Conrad
,
W. A.
, 1968, “
Pressure-Flow Relationship in Collapsible Tubes
,”
IEEE Trans. Biomed. Eng.
0018-9294,
BME-16
, pp.
284
295
.
2.
Tavel
,
M. E.
,
Faris
,
J.
,
Nasser
,
W. K.
,
Feigenbaum
,
H.
, and
Fisch
,
C.
, 1969, “
Korotkoff Sounds: Observations on Pressure-Pulse Changes Underlying Their Formation
,”
Circulation
0009-7322,
39
, pp.
465
474
.
3.
Shimizu
,
M.
, 1992, “
Blood Flow in a Brachial Artery Compressed Externally by a Pneumatic Cuff
,”
ASME J. Biomech. Eng.
0148-0731,
114
, pp.
78
83
.
4.
Hayashi
,
S.
,
Hayase
,
T.
, and
Kawamura
,
H.
, 1998, “
Numerical Analysis for Stability and Self-Excited Oscillation in Collapsible Tube Flow
,”
ASME J. Biomech. Eng.
0148-0731,
120
, pp.
468
475
.
5.
Nikuradse
,
J.
, 1932, “
Gesetzmässigkeit der tuburenten Strömung in glatten Rohren
,”
Forsch. Abr. Ing. -Wes.
,
356
.
6.
Shimizu
,
M.
, and
Tatsumae
,
S.
, 1992, “
Model of Arterial Volume Change under the Cuff During Blood Pressure Measurement
,”
Jpn. J. Med. Elec. Biol. Eng.
,
30
(
4
), pp.
267
275
(in Japanese).
7.
Cancelli
,
C.
, and
Pedley
,
T. J.
, 1985, “
A Separated-Flow Model for Collapsible-Tube Oscillations
,”
J. Fluid Mech.
0022-1120,
157
, pp.
375
404
.
8.
Hayashi
,
S.
,
Hayase
,
T.
,
Miura
,
Y.
, and
Iimura
,
I.
, 1999, “
Dynamic Characteristics of Collapsible Tube Flow
,”
JSME Int. J., Ser. C
1340-8062,
42
, pp.
680
696
.
9.
Ticker
,
E. G.
, and
Sacks
,
A. H.
, 1967, “
A Theory for the Static Elastic Behavior of Blood Vessels
,”
Biorheology
0006-355X,
4
, pp.
151
168
.
10.
Japan Society of Mechanical Engineering (JSME) eds., 1997,
Biomechanical Engineering: A First Course
,
Maruzen
,
Tokyo
, pp.
83
88
(in Japanese).
11.
Schlichting
,
H.
, 1968,
Boundary-Layer Theory
, 6th ed.,
McGraw Hill
,
New York
, pp.
9
19
.
You do not currently have access to this content.