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2007, Piran, Slovenia

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Modelling<br />

(T , T , V&<br />

, ) = 1.<br />

0 + α (T T , ) if Tc,th < Tc (2)<br />

DILAT C s O r<br />

c −<br />

2 c th<br />

= 1.0 if Tc < Tc,th<br />

α is a gain constant. Experimental studies since 1970 established that Tc,th decreases<br />

approximately 0.1 o C for each degree C increase in T s . The effect of O r , V& on Tc,th was<br />

2<br />

controversial until Taylor, et al. (1988) and Smolander, et al. (1991) showed rather clearly<br />

that Tc,th is not affected by moderate levels of O r , V& (say 2<br />

O r , V& < 0.5) when T 2<br />

s is less than<br />

34 o C. At higher intensities of exercise, Tc,th increases with O r , V& , as shown in Figure 1. The<br />

2<br />

solid line in Fig. 1 is a graph of the relationship<br />

2<br />

ΔTc<br />

, th = 1.41 ΔV − 0.194 ΔV + 0.01<br />

(3)<br />

V&<br />

, − V&<br />

, / 1.0 − V&<br />

,<br />

& = 0.5.<br />

in which ( ) ( )<br />

THRESHOLD CENTRAL TEMPERATURE<br />

INCREASE: C<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

ΔV = O 2 r O2<br />

crit<br />

O2<br />

crit , and O crit , V 2<br />

40 50 60 70 80 90 100<br />

OXYGEN CONSUMPTION RATE: % VO2 max<br />

Figure 1. Δ Tc,th for active vasodilation as a function of O r , V 2<br />

& when TS < 33.0 . Filled and<br />

open circles identify plethysmographic and laser-Doppler data, respectively, of Smolander, et<br />

al., 1991; open triangles identify data of Taylor, et al., 1988. Also shown is the graph of<br />

Eqn. 3.<br />

While Eqn. 2 accounts for the effect of heavy exercise on SkBF at normal skin temperatures,<br />

it fails to account for the effect of moderate exercise on Δ Tc,th at high skin temperatures. For<br />

example, Eqn. 1 yields Δ Tc,th = 0 o C for V& , r ≈ 0.<br />

5,<br />

which is at variance with the threshold<br />

O2<br />

increments of 0.29 o C observed by Johnson and Park (1981) and 0.28 o C observed by<br />

Kellogg et al. (1991). However, those studies were carried out with s T = 38 o C. A possible<br />

solution for that dilemma is to assume that V& decreases with increasing T s , which is not<br />

O2 , crit<br />

unreasonable, because cutaneous blood flow and volume both increase when the skin<br />

temperature is high. We simply assume that V& decreases linearly from V& = 0.5 for<br />

T s ≤ 33 o C to<br />

O2 , crit<br />

O2 , crit<br />

O2 , crit<br />

V& = 0 for 38 o C. Then, if s T = 38 o C and & = 0.<br />

5 , as in the study of<br />

V O2 , r<br />

461

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