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Biomechanics and Medicine in Swimming XI

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average VO2 measured dur<strong>in</strong>g rest<strong>in</strong>g 30s before the start of<br />

g the first 20s of data after the onset of exercise. The basel<strong>in</strong>e<br />

average VO2 measured dur<strong>in</strong>g rest<strong>in</strong>g 30s before the start of<br />

⎡ ⎤ ⎡ ⎤<br />

= VO − l − l ⎥<br />

(1)<br />

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

−<br />

⎛ t−TD1<br />

⎞<br />

−<br />

⎛ t−TD2<br />

⎞<br />

⎜ ⎟<br />

⎜ ⎟<br />

⎝ τ1<br />

⎠<br />

⎝ τ 2 ⎠<br />

2b<br />

+ A1<br />

⎢1<br />

⎥ + A2<br />

⎢1<br />

⎛ t−TD<br />

⎛ −<br />

⎡ − 1 ⎞ ⎤ ⎡ −<br />

t TD2<br />

⎞<br />

⎜ ⎟<br />

⎜ ⎟ ⎤<br />

+ ⎣ ⎝ τ1<br />

⎠ − + ⎦ −⎣<br />

⎝ τ 2 ⎠<br />

2b<br />

A1<br />

1 A2<br />

1<br />

) = VO ⎢ l ⎥ ⎢ l ⎥ ⎦ (1)<br />

The physiologically ⎣<br />

relevant ⎦ <strong>in</strong>crease ⎣ <strong>in</strong> VO2 is the ⎦ amplitude of phase I<br />

(A1’), or primary component, which was calculated from:<br />

h relevant was calculated <strong>in</strong>crease <strong>in</strong> from: VO2 is the amplitude of phase I (A1’), or<br />

ch was calculated<br />

⎛<br />

from: ( )<br />

⎜<br />

⎛ −<br />

TD2−TD1<br />

⎟<br />

⎞<br />

'<br />

⎞<br />

⎝<br />

τ 1⎠<br />

(2)<br />

= ⎜ −<br />

⎟<br />

1 A⎛1<br />

1 ( )<br />

⎜<br />

⎛ −<br />

TD2−TD1<br />

⎟<br />

⎞<br />

'<br />

⎞<br />

⎝<br />

τ 1⎠<br />

A ⎜<br />

⎜⎝<br />

⎟<br />

1 = A1<br />

1−<br />

l ⎠<br />

(2)<br />

⎝<br />

⎠<br />

Because the asymptotic value (A2) may represent a higher value than<br />

otic value<br />

that<br />

(A2)<br />

actually<br />

may<br />

reached<br />

represent<br />

at the end<br />

a higher<br />

of the exercise,<br />

value than<br />

the value<br />

that<br />

of<br />

actually<br />

the VO2<br />

exercise, slow the exponential value of term the at VO2 the end slow of exercise exponential was def<strong>in</strong>ed term as at (A2’): the end<br />

s (A2’):<br />

⎛ ( )<br />

⎜<br />

⎛ −<br />

ED−TD2<br />

⎟<br />

⎞<br />

' ⎛ ( )<br />

⎜<br />

⎛ −<br />

ED−TD2<br />

⎟<br />

⎞ ⎞ (3)<br />

'<br />

⎝ ⎞ τ 2 ⎠<br />

= ⎜ ⎝<br />

τ 2 ⎠<br />

A −<br />

⎟<br />

2 = A2<br />

⎜ 1−<br />

⎟<br />

2 A2<br />

1 l (3)<br />

⎝⎝<br />

⎠ ⎠<br />

duration. where ED is the exercise duration.<br />

relevant <strong>in</strong>crease <strong>in</strong> VO2 is the amplitude of phase I (A1’), or<br />

A l (2)<br />

tic value (A2) may represent a higher value than that actually<br />

exercise, the value of the VO2 slow exponential term at the end<br />

duration.<br />

A l (3)<br />

Statistical analysis: The values were expressed as mean ± SD. The normal-<br />

values were expressed as mean ± SD. The normality of data<br />

values were expressed as mean ± SD. The normality of data<br />

-Wilk test.<br />

ity of<br />

The<br />

data was<br />

statistical<br />

checked by<br />

difference<br />

Shapiro-Wilk<br />

between<br />

test. The<br />

two<br />

statistical<br />

means<br />

difference<br />

was<br />

-Wilk test. between The two statistical means was checked difference by a paired between Student’s t-test two (2-tailed). means was<br />

dent’s t-test (2-tailed). Bi-exponential analyses were performed<br />

ent’s t-test Bi-exponential<br />

duals method. (2-tailed). analyses<br />

The level of Bi-exponential were performed by<br />

significance was analyses the least squared<br />

set at p were residuals<br />

≤ 0.05. performed<br />

method. The level of significance was set at p ≤ 0.05. All statistical analy- All<br />

performed uals method. by utiliz<strong>in</strong>g The level software of significance SPSS 17.0. was set at p ≤ 0.05. All<br />

ses were performed by utiliz<strong>in</strong>g software SPSS 17.0.<br />

erformed by utiliz<strong>in</strong>g software SPSS 17.0.<br />

RESULTS<br />

Variables presented <strong>in</strong> Table 1 describe the physiological <strong>and</strong> perfor-<br />

able 1 describe the physiological <strong>and</strong> performance parameters<br />

delimit<strong>in</strong>g exercise doma<strong>in</strong>s. The RCP was observed to<br />

po<strong>in</strong>t between VT <strong>and</strong> VO2max, but substantial variability was<br />

ble 1.<br />

cremental test. n = 9.<br />

to BW Relative to Velocity<br />

1<br />

) VO2max (%) (m·s -1 able 1 describe the physiological <strong>and</strong> performance parameters<br />

delimit<strong>in</strong>g exercise doma<strong>in</strong>s. The RCP was observed to<br />

po<strong>in</strong>t between VT <strong>and</strong> VO2max, but substantial variability was<br />

able 1.<br />

ncremental test. n = 9.<br />

to BW Relative to Velocity<br />

-1<br />

) VO2max (%) (m·s<br />

Delta<br />

) (%∆)<br />

100 1.40 (±0.03) 100<br />

70.5 (±8.0) 1.21 (±0.06) 0<br />

-1 mance parameters related to the <strong>in</strong>dices delimit<strong>in</strong>g exercise doma<strong>in</strong>s.<br />

The RCP was observed to correspond with the midpo<strong>in</strong>t between VT<br />

<strong>and</strong> VO2max , but substantial variability was observed, as shown on Table<br />

1.<br />

Table 1: Parameters for <strong>in</strong>cremental test. n = 9.<br />

VO Delta<br />

2 relative to BW<br />

(ml ) (%∆)<br />

100 1.40 (±0.03) 100<br />

70.5 (±8.0) 1.21 (±0.06) 0<br />

86.0 (±4.9) 1.32 (±0.05) 51.0 (±16.5)<br />

. m<strong>in</strong>-1 .kg-1 Relative to Velocity<br />

) VO2max (%) (m·s-1 Delta<br />

) (%Δ)<br />

VO2max 58.0 (±5.1) 100 1.40 (±0.03) 100<br />

VT 41.1 (±7.3) 70.5 (±8.0) 1.21 (±0.06) 0<br />

RCP 49.9 (±5.5) 86.0 (±4.9) 1.32 (±0.05) 51.0 (±16.5)<br />

The trivial difference between predeterm<strong>in</strong>ed <strong>and</strong> performed trials above<br />

(1.35 ± 0.05 m·s<br />

86.0 (±4.9) 1.32 (±0.05) 51.0 (±16.5)<br />

-1 <strong>and</strong> 1.34 ± 0.05 m·s-1 , ρ = 0.54) <strong>and</strong> below (1.28 ± 0.05<br />

m·s-1 <strong>and</strong> 1.28 ± 0.05 m·s-1 , ρ = 0.78) RCP ensured the effective control<br />

of the velocity under the test condition. The velocity measured dur<strong>in</strong>g<br />

trials was closer to the def<strong>in</strong>ed velocity <strong>in</strong> both trials above (2.0 ± 1.2%)<br />

<strong>and</strong> below (-2.7 ± 0.8%) the RCP.<br />

Table 2: Parameters of VO2 on-k<strong>in</strong>etics around RCP. n = 9.<br />

2.5% below RCP 2.5% above RCP<br />

VO2Basel<strong>in</strong>e (ml.m<strong>in</strong>-1 ) 474.90 ± 91.24 523.78 ± 79.08<br />

TD1 (s) 17.6 ± 3.3 14.0 ± 5.6 †<br />

t1 (s) 17.8 ± 7.1 16.1 ± 4.9<br />

A’ 1 (ml·m<strong>in</strong>-1 ) 2.784.93 ± 616.02 3.247.04 ± 669.99 †<br />

R2 0.97 ± 0.02 0.93 ± 0.04<br />

TD2 (s) 153.8 ± 42.5 188.4 ± 97.2<br />

t2 (s) 99.5 ± 82.2 73.8 ± 67.4<br />

A’ 2 (ml·m<strong>in</strong>-1 ) 391.24 ± 236.61 399.40 ± 270.49<br />

R2 0.69 ± 0.26 0.66 ± 0.23<br />

EEVO2 (ml·m<strong>in</strong>-1 ) 3.176.17 ± 647.01 3.646.45 ± 823.11 †<br />

A’ 2 %EEVO2 12.4 ± 7.3 10.5 ± 5.3<br />

TotalVO2 (ml·m<strong>in</strong>-1 ) 3.651.07 ± 660.36 4.170.23 ± 810.11 †<br />

%VO2max atta<strong>in</strong>ed 92.0 ± 6.0 105.0 ± 9.5 †<br />

EEVO 2 is the <strong>in</strong>crease <strong>in</strong> VO 2 above basel<strong>in</strong>e at end of exercise. † Marked<br />

differences (p < 0.05) were observed <strong>in</strong> relation to 2.5% below RCP.<br />

216<br />

Time parameters of VO2 on-k<strong>in</strong>etics seems not to differ substantially<br />

between trials around RCP, with the exception of TD1 (p = 0.03) (Table<br />

2). This scenario suggests that the response for the primary component<br />

beg<strong>in</strong>s early while swimm<strong>in</strong>g above rather than below RCP. The amplitude<br />

parameters account for the noticeable differences between trials<br />

<strong>in</strong> each condition. Primary amplitude, end-exercise VO2 (EEVO2 ), <strong>and</strong><br />

entire VO2 (TotalVO2 ) showed difference for their paired values <strong>in</strong> each<br />

trial (p values of 0.001, 0.001, <strong>and</strong> 0.000, respectively) (Table 2). There<br />

was no tendency for the onset of the slow component (TDs) to occur<br />

earlier as exercis<strong>in</strong>g above (188.4s) <strong>and</strong> below (153.8s) RCP <strong>in</strong>tensity,<br />

neither to differ <strong>in</strong> amplitude (399.4 <strong>and</strong> 391.2 ml.m<strong>in</strong>-1 above <strong>and</strong> below<br />

RCP, respectively), or <strong>in</strong> relative contribution to the EEVO2 (10.5<br />

<strong>and</strong> 12.4% above <strong>and</strong> below RCP, respectively) (Table 2). None of the<br />

subjects reached the exhaustion <strong>in</strong> either trial (above <strong>and</strong> below RCP),<br />

however because of the slow component, TotalVO2 elicit<strong>in</strong>g 104.57 <strong>and</strong><br />

91.58% of VO2max while swimm<strong>in</strong>g above <strong>and</strong> below RCP, respectively.<br />

The on-transient for VO2 above <strong>and</strong> below RCP is illustrated for one<br />

swimmer <strong>in</strong> the Figure 1.<br />

VO2 (L x m<strong>in</strong> -1 )<br />

6.0<br />

5.0<br />

4.0<br />

3.0<br />

2.0<br />

1.0<br />

2.5%RCP<br />

VO2max<br />

RCP<br />

VT<br />

-100 0 100 200 300 400 500<br />

Time (s)<br />

Figure 1: On-transition oxygen uptake k<strong>in</strong>etics <strong>in</strong> the trials around RCP<br />

for subject 6. Basel<strong>in</strong>e VO 2 <strong>in</strong> each trials is showed for 30-s before exercise<br />

beg<strong>in</strong>n<strong>in</strong>g (at time zero).<br />

dIscussIon<br />

In swimm<strong>in</strong>g, heavy <strong>and</strong> severe doma<strong>in</strong>s of exercise <strong>in</strong>tensity have not<br />

been studied by means of pulmonary VO 2 on-k<strong>in</strong>etics. In a recent study,<br />

Dekerle et al. (2009) concluded that CV lies on the boundary between<br />

the heavy <strong>and</strong> severe <strong>in</strong>tensity doma<strong>in</strong>s with<strong>in</strong> a range of ± 5%, s<strong>in</strong>ce<br />

post exercise VO 2 (reach<strong>in</strong>g only 87 ± 14%VO 2peak ) <strong>and</strong> [lactate] rema<strong>in</strong>ed<br />

stable when swimm<strong>in</strong>g 5% below CV. In contrast, when swimm<strong>in</strong>g<br />

5% above, both a rapid <strong>in</strong>crease <strong>in</strong> [lactate] <strong>and</strong> quick atta<strong>in</strong>ment<br />

of peak VO 2 were observed. Data from the present study corroborates<br />

with these results <strong>in</strong> an even narrower range (less than 5% was the difference<br />

between slower <strong>and</strong> faster trials) around the RCP, by on-transient<br />

VO 2 k<strong>in</strong>etics. The trial ~2.7% below RCP was performed at v36.8 ±<br />

8.5%∆ (about 1.28 ± 0.05 m·s -1 or 91 ± 2% of vVO 2max ), elicit<strong>in</strong>g a submaximal<br />

VO 2 (about 92.0 ± 6.0%VO 2max ), after a delayed steady-state<br />

(154s) of an amplitude of 391 ml·m<strong>in</strong> -1 . The VO 2 <strong>in</strong> the trial above ~2%<br />

of RCP (v71.1 ± 17.1%Δ, about 1.3 ± 0.05 m·s -1 or 96.1 ± 2.4% of<br />

vVO 2max ) presented a delayed (188s) amplitude of 399 ml·m<strong>in</strong> -1 limited<br />

trunked at its maximum rate (105.0 ± 9.5%VO 2max ).<br />

Similar results were previously observed by Demarie et al. (2001)<br />

with pentathletes, whose VO2 slow component rose to 114 ± 10%VO-<br />

2peak when swimm<strong>in</strong>g at a velocity correspond<strong>in</strong>g to 96% of VO-<br />

2peak. Swimm<strong>in</strong>g at previously determ<strong>in</strong>ed vVO2max, high level male<br />

swimmers exhibited a VO2 slow component of 274.1 ± 152.8 ml·m<strong>in</strong> -1<br />

(Fern<strong>and</strong>es et al., 2003). These authors have analyzed the VO2 changes<br />

(ΔVO2) between the second m<strong>in</strong>ute to the end of exercise for determ<strong>in</strong><strong>in</strong>g<br />

the amplitude of VO2 slow component, argu<strong>in</strong>g that (1) onset<br />

of slow component has an earlier time delay <strong>in</strong> the severe than <strong>in</strong> the<br />

heavy doma<strong>in</strong>; (2) there is no consensus about the algorithm to fit VO2<br />

slow component k<strong>in</strong>etic; <strong>and</strong> (3) there is a high variability <strong>in</strong> the ampli-

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