Stirling J R, Zakynthinaki M S, Billat V
Facultad de Ciencias de la Actividad Física y del Deporte-INEF, Universidad Politécnica de Madrid (UPM), c/ Martín Fierro s/n, 28040, Madrid, Spain,
Bull Math Biol. 2008 Jul;70(5):1348-70. doi: 10.1007/s11538-008-9302-9. Epub 2008 Feb 28.
In this paper, we present an application of a number of tools and concepts for modeling and analyzing raw, unaveraged, and unedited breath-by-breath oxygen uptake data. A method for calculating anaerobic capacity is used together with a model, in the form of a set of coupled nonlinear ordinary differential equations to make predictions of the VO(2) kinetics, the time to achieve a percentage of a certain constant oxygen demand, and the time limit to exhaustion at intensities other than those in which we have data. Speeded oxygen kinetics and increased time limit to exhaustion are also investigated using the eigenvalues of the fixed points of our model. We also use a way of analyzing the oxygen uptake kinetics using a plot of V O(2)(t) vs V O(2)(t) which allows one to observe both the fixed point solutions and also the presence of speeded oxygen kinetics following training. A method of plotting the eigenvalue versus oxygen demand is also used which allows one to observe where the maximum amplitude of the so-called slow component will be and also how training has changed the oxygen uptake kinetics by changing the strength of the attracting fixed point for a particular demand.
在本文中，我们展示了多种工具和概念在对原始、未平均且未编辑的逐次呼吸摄氧量数据进行建模和分析中的应用。一种计算无氧能力的方法与一个模型一起使用，该模型以一组耦合的非线性常微分方程的形式，用于预测VO₂动力学、达到特定恒定需氧量百分比的时间以及在我们没有数据的强度下的力竭时间限制。还使用我们模型不动点的特征值来研究加速的氧动力学和延长的力竭时间限制。我们还使用一种通过绘制VO₂(t)与VO₂(t)的关系图来分析摄氧量动力学的方法，这使人们能够观察到不动点解以及训练后加速的氧动力学的存在。还使用了一种绘制特征值与需氧量关系的方法，这使人们能够观察到所谓慢成分的最大幅度将出现在何处，以及训练如何通过改变特定需氧量下吸引不动点的强度来改变摄氧量动力学。
