优秀耐力性运动员心肺功能某些指标的三维动态数学模型及数理关系的研究

本研究从运动医学和医用数学的角度，探讨了优秀耐力性运动员运动过程中，心肺功能吸氧量等6项指标随心率和呼吸频率自变量而变化的三维动态数学模型，并用三维模型曲面图和空间轨迹图直观地描述和表达了模型较为复杂、抽象的动态数理关系，达到了在同一动态数量关系体系中，只要获得自变量指标的动态变化数据输入，即可求出其他相关指标的变化数据之目的，从而为你能训练过程中的实时医学监控提供生物学指标体系和数据源，为运动训练的实时临控和心肺机能评定提供了一个方法学上的参考。

Study on the 3-D Dyjjnamic Math Model and Mathematical Relations for Certain Indexes of Cardio-Respiratory Functions in Elite Endurance Athletes

From the angles of sports medicine and medical math, it was studied in the paper that the 3 - dimension dynamical math model for changing of 6 card io - respiratory function indexes, such as oxygen consumption (Vo2), with the changes of the self - variances, heart rate (HR) and respiratory frequency (RF ). And the 3 - D model's curve - surface fittings and the space traces were employed to describe and express directly the complex and abstract mathematical relations in the models. So that, once the dynamical data of one seir - variance index in this dynamical mathematical system is input, the changing parameters for the other related indexes are output, The research provides a valid biological index system and the data sources for the real - time medical monitoring of physical working capacity(PWC) training, and offers a methodological reference for the real - time monitoring of sports training and the evaluation of the cardio - respiratory functions