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线性和非线性数学模型的临界扭矩、预计力竭时间和无氧工作能力。

Critical torque, estimated time to exhaustion, and anaerobic work capacity from linear and nonlinear mathematical models.

机构信息

Department of Nutrition and Health Sciences, University of Nebraska-Lincoln, Lincoln, NE 68588, USA.

出版信息

Med Sci Sports Exerc. 2009 Dec;41(12):2185-90. doi: 10.1249/MSS.0b013e3181ab8cc0.

Abstract

UNLABELLED

Theoretically, critical torque (CT) is the maximal isometric torque that can be maintained without fatigue, and anaerobic work capacity (AWC) is the total "isometric work" associated with stored energy sources within the muscle.

PURPOSE

The purpose of this study was twofold: 1) to determine whether there were differences among the estimates of CT and AWC from linear and nonlinear mathematical models and 2) to compare the estimated time to exhaustion (ETTE) values associated with the CT estimates from the linear and nonlinear mathematical models.

METHODS

Nine adult subjects (mean +/- SD age = 21.6 +/- 1.2 yr) performed three or four continuous, fatiguing, isometric muscle actions of the leg extensors at 30%, 45%, 60%, and 75% of maximum voluntary isometric contraction to determine the time to exhaustion (Tlim) values. Five mathematical models (two linear, two nonlinear, and one exponential) were used to estimate CT and AWC (the exponential model did not estimate AWC) from the relationships between "isometric work" or torque and Tlim. Individual torque versus Tlim curves was also generated from the fatiguing isometric muscle actions to calculate the ETTE values.

RESULTS

The exponential model resulted in greater mean CT and lower ETTE values than the other models. There were no significant differences, however, between models for AWC.

CONCLUSION

Torque-curve analyses indicated that the mean ETTE values range from 7.26 to 16.98 min, and therefore all five CT models (23.0 to 37.0 N x m) overestimated the torque levels that could be maintained for an extended period without fatigue.

摘要

目的

本研究有两个目的:1)确定线性和非线性数学模型对临界扭矩(CT)和无氧工作能力(AWC)的估计是否存在差异;2)比较线性和非线性数学模型的 CT 估计值与估计的疲劳时间(ETTE)值之间的关系。

方法

9 名成年受试者(平均年龄 +/- 标准差为 21.6 +/- 1.2 岁)以 30%、45%、60%和 75%的最大随意等长收缩进行 3 或 4 次连续疲劳等长腿部伸展运动,以确定疲劳时间(Tlim)值。使用五种数学模型(两种线性、两种非线性和一种指数模型),从“等长工作”或扭矩与 Tlim 之间的关系来估计 CT 和 AWC(指数模型不估计 AWC)。从疲劳等长肌肉运动中生成个体扭矩与 Tlim 的关系曲线,以计算 ETTE 值。

结果

与其他模型相比,指数模型导致平均 CT 值更高,ETTE 值更低。然而,对于 AWC,模型之间没有显著差异。

结论

扭矩曲线分析表明,平均 ETTE 值范围为 7.26 至 16.98 分钟,因此所有五种 CT 模型(23.0 至 37.0 N x m)都高估了可以在没有疲劳的情况下维持较长时间的扭矩水平。

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