Medicine:
Engineering: Innovation: A Method for
Measuring the Flexibility of Blood Vessels
Using a Blood
Pressure Meter
by Keiji Taniguchi^{1}, Hiroshi Yamamoto^{2}^{ }, Ningfeng Zeng^{3}, and Kengo Kashihara^{4} ^{1} Honorary Professor of Fukui
University, Fukui, 918-8186, Japan, and Xifan University of Technology, Xifan ,
China ^{2} CEO , Sakaimed.Co.,
Shinjiku,Tokyo,162-0801,Japan ^{3}
Japanese Society of Anti-aging Medicine , Kobe City, 651-2122, Japan ^{4}Kashihara
Neurological Clinic, Fukui, Japan, A simple method for measuring the flexibility
of blood vessels in a human body
is proposed. This method
can measure the flexibility of blood vessels simply and economically. The
correlation coefficient between our
method and the baPWV method is more than -0.9. Index Terms — Flexibility of blood vessels Introduction: In a blood pressure
measurement, a blood vessel stopped the flow of blood by the cuff must be
equivalently vibrated just like a spring motion by a pumping action of the
heart. In this case, the transient temperature variation of
an arterial systolic maximum value caused by a heat stimulation may be able to use as
an index which expresses a flexibility of
the blood vessel. In this paper, the recent result updated for reference
[1] is shown. The baPWV method (See Fig.4), which is used as a conventional method, is used for the calibration of our method. Our
experimental result shows that this proposed method has an excellent correlation with the baPWV method [2]. Consequently, our method can be used for
measuring the flexibility of blood vessels simply and economically. 2.Method: A. Relationship between Blood Pressure and Body
Temperature The relationships among the arterial systolic
maximum value _{}of blood
pressure, the body temperature_{} of the measured
subject person, and the density_{} of material flowing in the blood vessel (for example, uric
acid crystals) can be expressed by the following equation: _{
}_{ } (1) Let us consider the case of small changes _{} and _{}. The small change _{}of the blood pressure can be expressed by the linear approximation as follows: _{} (2) In the above
equation, if the diameter of the blood vessel is increased by the temperature
variation (_{}), _{} takes the negative value. From Eqs. (1)
and (2) , the following equation
can be obtained:_{ }, where
if _{}, then _{} (3) B. Body
Temperature Variation The small variation _{} of the body
temperature can be given by_{}as the function of time _{}, where_{}(minutes),
_{}is
the initial value of time _{}, and this value is counted as _{}. A rectangular-wave form expressed as a function of time
is used as the heat stimulation source. As an example, when a microwave oven of 600(watts)_{}70(seconds) was used as the heat
stimulation source, about
50Ž-water of 260(cc) for drinking can be obtained. C. Analysis
(A) First of all, variables and
functions in Equations (1)
and (2)
are substituted as follows: , _{}, _{}, _{},_{}, Consequently, the following equation can be
obtained: _{} , (4) Where _{}expresses the initial
value of blood pressure counted as _{}, _{} is the sampling period, and this value is
decided from the experimental considerations. For example, in this case_{} is 2 (minutes), let us consider an example shown in table 1. From this table, the following descriptions are
obtained: _{}_{}(mmHg), _{}, and _{}(mmHg). These data were measured by
using a blood pressure meter specified as: OMRON HEM-7230. (B) Let us show the computation process using the samples measured
previously. From Equation (3), the values of _{} are _{}(mmHg). Using the values of_{} shown above, the following parameter is calculated: _{}, _{}. (5) _{}. Where, _{}. The baPWV average value, which
corresponds to _{} is 2339
(cm/sec). This result is shown using an arrow in Fig.1. In this figure, the
measured subject persons 1, 5 and 6
are authors and 2, 3 and 4 are volunteers.
Table 1
Relationship among _{}
D. Evaluation Results As a criterion of the evaluation of our method, the baPWV
values are used. The relationship between _{} and baPWV is
shown in Fig.1. Theoretically, the
relationship between baPWV and R can be explained by Bernoullfs theorem added
loss coefficient term. That is, the values of baPWV and R are measured as the velocity
and the pressure in the blood vessel, respectively. The
correlation coefficient between the baPWV method and our method is more than -0.9. From
this result, our method has excellent
correlation with the baPWV method. This relation is shown by solid line in
Fig.1. The equation of this line
can be approximated as follows: _{} (6). E. Day-Time Series Variations The relationship between R and daytime series
variations between April 2, 2015 and April 15, 2015 is shown in Fig.2. Figs 2 (a) and (b) express the values of R for day time
series variations, and a relation between baPWV and R, respectively. F. R and Age Relations A sky-blue line shown in Fig.3 expresses the relationship between _{} and Age. This figure is made using Reference [3],
Fig.4, and Eq.(6). In
this figure, each zone expressed by the blue, pink, and yellow is the stiff
blood vessel zone, slightly hard blood vessel zone, and flexible blood vessel
zone, respectively. 3.
Conclusion: This
method can be used to measure the flexibility of blood vessel in a human body simply and economically. The proposed method has excellent correlation with baPWV method. The advantage of our method is that it can
measure easily by using a blood pressure meter and a timer as measuring
equipment. In an ageing society, this simple method will be able to play
an important role for preventing metabolic
syndrome in elder people. 4. Appendix Fig.4 shows an example of the relationship between
baPWV and age. References: [1] Keiji Taniguchi,
Hiroshi Yamamoto, and Ningfeng Zeng: Certificate of Patent,
No.5518554, April 11, 2014 [2] Nikkei
continuing medical education-1, p.1, Jan. 2006 [3] http://chuo.kcho.jp/0riginal/clinicallabo/lab-news-backnumber7.html [ BWW Society Home Page ] © 2015 The Bibliotheque: World Wide Society |