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Biomechanics and Medicine in Swimming XI

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<strong>Biomechanics</strong><strong>and</strong>medic<strong>in</strong>e<strong>in</strong>swimm<strong>in</strong>gXi<br />

Estimation Method for Energy Expenditure by<br />

Acceleration of Human Head dur<strong>in</strong>g Water Walk<strong>in</strong>g<br />

Kaneda, K. 1 , ohgi, Y. 2 , tanaka, c. 3<br />

1 Research Fellow of the Japan Society for the Promotion of Science, Japan<br />

2 Keio University, Japan<br />

3 J. F. Oberl<strong>in</strong> University, Japan<br />

This study aimed at estimat<strong>in</strong>g energy expenditure (EE) by accelerations<br />

of human head dur<strong>in</strong>g water walk<strong>in</strong>g (WW). Fifty Japanese males (n =<br />

29, age: 27 to 73) <strong>and</strong> females (n = 21, age: 33 to 70) participated <strong>in</strong> this<br />

study. They conducted WW at three walk<strong>in</strong>g speeds of 25 m/m<strong>in</strong>, 30 m/<br />

m<strong>in</strong> <strong>and</strong> 35 m/m<strong>in</strong>. Dur<strong>in</strong>g the WW, an accelerometer was attached to<br />

the occipital region of the subjects <strong>and</strong> recorded three-dimensional accelerations<br />

at 100 Hz. We developed estimation equation for EE (kcal/<br />

m<strong>in</strong>/kg) <strong>in</strong>clud<strong>in</strong>g three components of the rest<strong>in</strong>g metabolic rate, <strong>in</strong>ternal<br />

energy expenditure for mov<strong>in</strong>g his/her body <strong>and</strong> energy expenditure<br />

aga<strong>in</strong>st for water drag force. The correlation coefficients were high <strong>in</strong><br />

both males (r = 0.79) <strong>and</strong> females (r = 0.77). theoretical estimation equations<br />

for EE dur<strong>in</strong>g WW was developed.<br />

Key words: energy expenditure, estimation, Accelerometer, Water<br />

Walk<strong>in</strong>g<br />

IntroductIon<br />

There are many studies <strong>and</strong> devices estimat<strong>in</strong>g energy expenditure (EE)<br />

dur<strong>in</strong>g l<strong>and</strong> walk<strong>in</strong>g, jogg<strong>in</strong>g or daily life activities (Kumahara et al.,<br />

2004; Scott et al., 2006; Tanaka et al., 2007). Due to its availability, those<br />

studies mostly used accelerometers attached to human body (e.g. waist,<br />

wrist <strong>and</strong> ankle). They reported good estimation expla<strong>in</strong>ed by high correlation<br />

coefficient (Scott et al., 2006). However, those studies <strong>and</strong> devices<br />

cannot apply to water exercise because water has specific characteristics<br />

compared to air, most prom<strong>in</strong>ently water resistance <strong>and</strong> buoyancy.<br />

Dur<strong>in</strong>g exercis<strong>in</strong>g <strong>in</strong> water, the gravitational stress at the lower extremity<br />

jo<strong>in</strong>t is reduced <strong>and</strong> greater exert force required for mov<strong>in</strong>g (Miyoshi et<br />

al., 2005). The metabolic responses dur<strong>in</strong>g water exercise were different<br />

from exercise on l<strong>and</strong> (Masumoto et al., 2008). Until now, we <strong>in</strong>vestigated<br />

metabolic responses dur<strong>in</strong>g water walk<strong>in</strong>g (WW) for a wide range<br />

of Japanese males <strong>and</strong> females, <strong>and</strong> cleared that the metabolic responses<br />

dur<strong>in</strong>g the WW were <strong>in</strong>fluenced by mostly the walk<strong>in</strong>g speed other than<br />

the human body size <strong>and</strong> sex (Kaneda et al., 2009a). Therefore, it is important<br />

to develop specific estimation equation for EE dur<strong>in</strong>g WW for<br />

health promotion water exercise. The hypothesis was that the energy<br />

expenditure dur<strong>in</strong>g walk<strong>in</strong>g <strong>in</strong> water was estimated by three components<br />

of the rest<strong>in</strong>g metabolic rate, <strong>in</strong>ternal energy expenditure for mov<strong>in</strong>g<br />

his/her body <strong>and</strong> energy expenditure aga<strong>in</strong>st for water drag force. We<br />

tried to develop estimation equations for EE by accelerations of human ¾<br />

head dur<strong>in</strong>g WW, <strong>and</strong> this study <strong>in</strong>troduces these methodologies. The<br />

future goal is to develop an underwater activity monitor by us<strong>in</strong>g an<br />

accelerometer.<br />

Methods<br />

Fifty Japanese males (n = 29, age: 27 to 73) <strong>and</strong> females (n = 21, age:<br />

33 to 70) participated <strong>in</strong> this study. The mean characteristics of the subjects<br />

are shown <strong>in</strong> Table 1. They provided a written <strong>in</strong>formed consent<br />

to participate <strong>in</strong> this study, <strong>and</strong> their health status was exam<strong>in</strong>ed from<br />

screen<strong>in</strong>g of medical history <strong>and</strong> measured blood pressure before each<br />

subject’s experiment. This study was approved by the Ethics Committee<br />

of Shonan-Fujisawa Campus at Keio University.<br />

The subjects conducted WW at three walk<strong>in</strong>g speeds of 25 m/m<strong>in</strong>,<br />

30 m/m<strong>in</strong> <strong>and</strong> 35 m/m<strong>in</strong> (some subjects executed from 20 m/m<strong>in</strong> ¾ <strong>and</strong><br />

¾<br />

366<br />

40 m/m<strong>in</strong> depend<strong>in</strong>g on their physical condition), <strong>and</strong> exercised over 5<br />

m<strong>in</strong>utes at each walk<strong>in</strong>g speed. In order to ma<strong>in</strong>ta<strong>in</strong> the walk<strong>in</strong>g speed<br />

steady, a pace-maker walked with the subject on the pool-side. The each<br />

wak<strong>in</strong>g trial was separated by more than 5 m<strong>in</strong>utes rest period to recover<br />

the subject’s condition. The experiment was carried out at the <strong>in</strong>door<br />

swimm<strong>in</strong>g pool (17.2 m length, 5 m width <strong>and</strong> 1.1 m depth) (Figure 1).<br />

Dur<strong>in</strong>g the each exercise bout, an accelerometer was attached onto<br />

the occipital region of the subject <strong>and</strong> recorded three-dimensional accelerations<br />

at 100Hz. The metabolic responses (VO 2 , l/m<strong>in</strong>/kg <strong>and</strong> VCO 2,<br />

l/m<strong>in</strong>/kg) were measured by the Douglas bag method us<strong>in</strong>g a portable<br />

gas analyzer (AR-1 O2-ro, Arcosystem Inc., Japan) <strong>and</strong> a dry gas meter<br />

(DCDA-2C-M, Sh<strong>in</strong>agawa Corp., Japan). Furthermore <strong>in</strong>terval times<br />

between mid 15 m by stopwatch were also measured at the each bout.<br />

All analyzed data were selected from last 2 round trips of the each walk<strong>in</strong>g<br />

trial. The energy expenditure (EE, kcal/m<strong>in</strong>/kg) was calculated by<br />

follow<strong>in</strong>g equation (Weir, 1949) for develop<strong>in</strong>g estimation equation<br />

from acceleration data:<br />

EE (kcal/m<strong>in</strong>/kg) = 3.9 × VO 2 (l/m<strong>in</strong>/kg) + 1.1 ×VCO 2 (l/m<strong>in</strong>/kg) (1)<br />

Table 1. Characteristics of the subjects, mean±SD.<br />

Age (yr) Height (cm) Weight (kg) BMI<br />

Male (n = 29) 55.0 ± 14.9 170.9 ± 6.1 69.2 ± 9.0 23.7 ± 3.0<br />

Female (n = 21) 57.4 ± 10.7 156.8 ± 4.6 54.2 ± 5.6 22.1 ± 2.6<br />

Fig. 1. Pool condition <strong>in</strong> this study.<br />

results<br />

A total of 160 samples (males: 97 samples, females: 63 samples) were<br />

obta<strong>in</strong>ed <strong>and</strong> used for analysis. We considered three components <strong>in</strong> the<br />

estimation equation for the EE (kcal/m<strong>in</strong>/kg): rest<strong>in</strong>g metabolic rate<br />

(RMR, kcal/m<strong>in</strong>/kg), <strong>in</strong>ternal energy expenditure for mov<strong>in</strong>g his/her<br />

body (jo<strong>in</strong>t energy expenditure: EE j ) <strong>and</strong> energy expenditure for water<br />

drag force (EE wd ):<br />

EE(kcal /m<strong>in</strong>/kg) = α 0 + α 1 RMR + α 2 EE j + α 3 EE wd (2)<br />

The RMR was calculated by sex, age <strong>and</strong> weight based on the basal<br />

metabolic rate (BMR) equations <strong>in</strong> the Dietary Reference Intakes for<br />

Japanese (M<strong>in</strong>istry of Health, Labour <strong>and</strong> Welfare, Japan, 2010) <strong>and</strong><br />

multiplied 1.2 for the RMR by Numagiri et al. (1970):<br />

RMR(<br />

kcal / m<strong>in</strong>/ kg ) = BMR(<br />

kcal / m<strong>in</strong>/ kg ) × 1.<br />

2<br />

The EEj was assumed to the square root of the sum of squared of both<br />

the sagittal ( Ay') <strong>and</strong> vertical ( A z ′ ) accelerations. For elim<strong>in</strong>at<strong>in</strong>g gravity<br />

effect, the acceleration data was corrected by head <strong>in</strong>cl<strong>in</strong>ation angle<br />

(Figure 2):<br />

A ¾ z ′ = Az − gcosϑ ¾<br />

(4)<br />

Ay'= Ay − gs<strong>in</strong>ϑ (5)<br />

(3)

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