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Figure from:On the kinetics of anaerobic power

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Figure 6 The metabolic power as a fraction of the maximum aerobic power Q/Qmax as a functio of time t in seconds for an interval and a continuous exercise. The horizontal lines represent the lactate threshold. ———-—— : Continuous. : Interval. results indicate that blood lactate levels can be accurately modeled during steady state, The current study investigated two different mathematical models for the kinetics of anaerobic power during whole body exercise at different exercise intensities. The results indicate that blood lactate levels can be accurately modeled during steady state, The current study investigated two different mathematical models for the kinetics of

Figure 6 The metabolic power as a fraction of the maximum aerobic power Q/Qmax as a functio of time t in seconds for an interval and a continuous exercise. The horizontal lines represent the lactate threshold. ———-—— : Continuous. : Interval. results indicate that blood lactate levels can be accurately modeled during steady state, The current study investigated two different mathematical models for the kinetics of anaerobic power during whole body exercise at different exercise intensities. The results indicate that blood lactate levels can be accurately modeled during steady state, The current study investigated two different mathematical models for the kinetics of

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Figure 1 The steady state aerobic power Q, and the virtual steady state Q in J/s as functions of work rate P in J/s when running with poles at the angle of inclination of 0.105 radians for 5-min steady state work rates. The lower horizontal line is the lactate threshold = 1654 J/s, and the upper horizontal line the maximal aerobic power Qinax = 1886//s. m: Experimental data, v) = 2.08m/s, Qyir = 0. 59 Qmax: Wwe 2.33 m/s, Ovir = = 0.66 Qmax, 3 = 2.64 m/s, Ons =0. 74Qmax, V4 = 2.83 m/s, Ovir = = 0. 800Qmax, Vs = 3.08m/5, Qyir = 0.87 Qa, Ve = 3-19M/S, Qyir = 0.90Qmax- hat Q,,, is a linear interpolation function through our data points. For values above or
Figure 1 The steady state aerobic power Q, and the virtual steady state Q in J/s as functions of work rate P in J/s when running with poles at the angle of inclination of 0.105 radians for 5-min steady state work rates. The lower horizontal line is the lactate threshold = 1654 J/s, and the upper horizontal line the maximal aerobic power Qinax = 1886//s. m: Experimental data, v) = 2.08m/s, Qyir = 0. 59 Qmax: Wwe 2.33 m/s, Ovir = = 0.66 Qmax, 3 = 2.64 m/s, Ons =0. 74Qmax, V4 = 2.83 m/s, Ovir = = 0. 800Qmax, Vs = 3.08m/5, Qyir = 0.87 Qa, Ve = 3-19M/S, Qyir = 0.90Qmax- hat Q,,, is a linear interpolation function through our data points. For values above or
compartment model for the average concentration in the total lactate pool. The blood lactate concentration equals the average concentration during steady state. At high lactate concentrations, the drain of lactate is saturated, which can be modeled by the function Tanh(y C(t)). No saturation was achieved when x-—-0, since Lim, Tanh(x C(t))/x = C(t). The lactate threshold Q;7 was achieved when 1 — XPo _ XPo Quire __ XPo TolOnnn Oz) = 9% Qa = Quer = Qinax — “Gy? Gna = 1 ~ Fm * Qmax was known and we used the numerical value of po from Moxnes and Hausken [10]. Thus, we only needed to fit the two parameters x/do and y to the steady state measured values. In the first step, we applied visual curve fitting, which means that we chose plausible compartment model for the average concentration in the total lactate pool. The blood
compartment model for the average concentration in the total lactate pool. The blood lactate concentration equals the average concentration during steady state. At high lactate concentrations, the drain of lactate is saturated, which can be modeled by the function Tanh(y C(t)). No saturation was achieved when x-—-0, since Lim, Tanh(x C(t))/x = C(t). The lactate threshold Q;7 was achieved when 1 — XPo _ XPo Quire __ XPo TolOnnn Oz) = 9% Qa = Quer = Qinax — “Gy? Gna = 1 ~ Fm * Qmax was known and we used the numerical value of po from Moxnes and Hausken [10]. Thus, we only needed to fit the two parameters x/do and y to the steady state measured values. In the first step, we applied visual curve fitting, which means that we chose plausible compartment model for the average concentration in the total lactate pool. The blood
Figure 5 illustrates the lactic and alactic storage of energy. We found different beha- viors for Models 1 and 2. For Model 1, the alactic energy storage started to increase from a local minimum at the time the aerobic power reached a steady state. The aer- obic power reached steady state before the lactic power did for v4 and vs. When the ex- ercise was terminated for v¢, v7 and vg, the alactic energy was fully restored. The alactic energy resources increased due to use of lactic power. Although the details of the time history of alactic energy depend on the chemical coupling coefficients, the overall sce- nario was much the same for different numerical values of the coefficients. It is history of alactic energy depend on the chemical coupling coefficients, the overall sce-
Figure 5 illustrates the lactic and alactic storage of energy. We found different beha- viors for Models 1 and 2. For Model 1, the alactic energy storage started to increase from a local minimum at the time the aerobic power reached a steady state. The aer- obic power reached steady state before the lactic power did for v4 and vs. When the ex- ercise was terminated for v¢, v7 and vg, the alactic energy was fully restored. The alactic energy resources increased due to use of lactic power. Although the details of the time history of alactic energy depend on the chemical coupling coefficients, the overall sce- nario was much the same for different numerical values of the coefficients. It is history of alactic energy depend on the chemical coupling coefficients, the overall sce-
Figure 4 Powers Q in J/s as function of time t in seconds when running with poles at the angle of inclination of 0.105 radians. v= 3.08 m/s, Qy, = 0.87Qma, when t < 800 s. v = 1.67 m/s, Qyir = 0.47 Qmax when t > 800s._____: Aerobic power (Qa =Q+ QW), : Lactic anaerobic power (Qo), ooo : Alactic anaerobic power (Qcx) for Model 1, .....: Alactic anaerobic power (Qcx) for
Figure 4 Powers Q in J/s as function of time t in seconds when running with poles at the angle of inclination of 0.105 radians. v= 3.08 m/s, Qy, = 0.87Qma, when t < 800 s. v = 1.67 m/s, Qyir = 0.47 Qmax when t > 800s._____: Aerobic power (Qa =Q+ QW), : Lactic anaerobic power (Qo), ooo : Alactic anaerobic power (Qcx) for Model 1, .....: Alactic anaerobic power (Qcx) for
Figure 5 The lactic and alactic anerobic energy utilization E(t)/E(0) as a function of time t in seconds for different work rates when running with poles at the angle of inclination of 0.105. : Lactic energy utilization Fg(t) /E¢(0), Fg(0) = 870J/kg x m, - - - -- : Alactic energy utilization Eck (t)/Eck(0), Eck (0) = 830//kg x m using Model 1............: Alactic energy utilization Eck (t)/Eck (0), Eck (0) = 830J/kg x m using Model 2. From below in different colors: pink = vg = 3.88m/s, Quir = 1.09 Qinax yellow = V7 = 3.33m/s, Qyr = 0.94Qmax, green = Ve = 3.19M/s, Qui, = 0.90 Qmax, blue =vs = 3.08m/s, Qyir = 0.87 Qinax, black =vs = 3.08m/s, Qy, = 0.87 Qmax until a recovery phase starts at t = 800s with v = 1.67m/s, Qyir = 0.47Qmax, red = V4 = 2.83m/5, Qyip = 0.80 Qmax, The exercises are terminated for vg, v7 and Vo.
Figure 5 The lactic and alactic anerobic energy utilization E(t)/E(0) as a function of time t in seconds for different work rates when running with poles at the angle of inclination of 0.105. : Lactic energy utilization Fg(t) /E¢(0), Fg(0) = 870J/kg x m, - - - -- : Alactic energy utilization Eck (t)/Eck(0), Eck (0) = 830//kg x m using Model 1............: Alactic energy utilization Eck (t)/Eck (0), Eck (0) = 830J/kg x m using Model 2. From below in different colors: pink = vg = 3.88m/s, Quir = 1.09 Qinax yellow = V7 = 3.33m/s, Qyr = 0.94Qmax, green = Ve = 3.19M/s, Qui, = 0.90 Qmax, blue =vs = 3.08m/s, Qyir = 0.87 Qinax, black =vs = 3.08m/s, Qy, = 0.87 Qmax until a recovery phase starts at t = 800s with v = 1.67m/s, Qyir = 0.47Qmax, red = V4 = 2.83m/5, Qyip = 0.80 Qmax, The exercises are terminated for vg, v7 and Vo.
Figure 8 The anaerobic lactic and alactic powers (Q) in J/s as a function of time t in seconds for interval (black lines) and continuous (red lines) exercise during the protocol showed in Figure 6. concentration compared to the average concentration in the total lactate pool that When comparing the experimental blood lactate values with Moxnes and Hausken’s [10] model for lactic power, we found similar results during steady state exercise inten- sities. Uncertainties of less than + 0.5 mmol/L using these mathematical models are indicated. For intensities above the lactate threshold, the measured blood lactate values were significantly lower than those calculated by the Moxnes and Hausken [10] model, whereas during recovery after high intensity exercise, the blood lactate concentration was higher than calculated. This could be explained by a possible delay in blood lactate concentration compared to the average concentration in the total lactate pool that
Figure 8 The anaerobic lactic and alactic powers (Q) in J/s as a function of time t in seconds for interval (black lines) and continuous (red lines) exercise during the protocol showed in Figure 6. concentration compared to the average concentration in the total lactate pool that When comparing the experimental blood lactate values with Moxnes and Hausken’s [10] model for lactic power, we found similar results during steady state exercise inten- sities. Uncertainties of less than + 0.5 mmol/L using these mathematical models are indicated. For intensities above the lactate threshold, the measured blood lactate values were significantly lower than those calculated by the Moxnes and Hausken [10] model, whereas during recovery after high intensity exercise, the blood lactate concentration was higher than calculated. This could be explained by a possible delay in blood lactate concentration compared to the average concentration in the total lactate pool that