Kim Jaeyeon, Saidel Gerald M, Cabrera Marco E
Department of Biomedical Engineering, Case Western Reserve University, 11100 Euclid Avenue, Cleveland, OH 44106, USA.
Ann Biomed Eng. 2007 Jan;35(1):69-90. doi: 10.1007/s10439-006-9201-x. Epub 2006 Nov 17.
A mathematical model of the whole-body metabolism is developed to predict fuel homeostasis during exercise by using hormonal control over cellular metabolic processes. The whole body model is composed of seven tissue compartments: brain, heart, liver, GI (gastrointestinal) tract, skeletal muscle, adipose tissue, and "other tissues". Each tissue compartment is described by dynamic mass balances and major cellular metabolic reactions. The glucagon-insulin controller is incorporated into the whole body model to predict hormonal changes during exercise. Moderate [150 W power output at 60% of peak oxygen consumption (VO(2max))] exercise for 60 min was implemented by increasing ATP utilization rates in heart and skeletal muscle. Arterial epinephrine level was given as an input function, which directly affects heart and skeletal muscle metabolism and indirectly other tissues via glucagon-insulin controller. Model simulations were validated with experimental data from human exercise studies. The exercise induced changes in hormonal signals modulated metabolic flux rates of different tissues in a coordinated way to achieve glucose homeostasis, demonstrating the efficacy of hormonal control over cellular metabolic processes. From experimental measurements of whole body glucose balance and arterial substrate concentrations, this model could predict the dynamic changes of hepatic glycogenolysis and gluconeogenesis, which are not easy to measure experimentally, suggesting the higher contribution of glycogenolysis ( approximately 75%). In addition, it could provide dynamic information on the relative contribution of carbohydrates and lipids for fuel oxidation in skeletal muscle. Model simulations indicate that external fuel supplies from other tissue/organ systems to skeletal muscle become important for prolonged exercise emphasizing the significance of interaction among tissues. In conclusion, this model can be used as a valuable complement to experimental studies due to its ability to predict what is difficult to measure directly, and usefulness to provide information about dynamic behaviors.
通过利用激素对细胞代谢过程的控制,建立了一个全身代谢的数学模型,以预测运动期间的燃料稳态。全身模型由七个组织部分组成:脑、心脏、肝脏、胃肠道、骨骼肌、脂肪组织和“其他组织”。每个组织部分通过动态质量平衡和主要细胞代谢反应来描述。将胰高血糖素 - 胰岛素控制器纳入全身模型,以预测运动期间的激素变化。通过提高心脏和骨骼肌中的ATP利用率,实施60分钟的中等强度运动[在峰值耗氧量(VO₂max)的60%时功率输出为150W]。动脉肾上腺素水平作为输入函数给出,它直接影响心脏和骨骼肌的代谢,并通过胰高血糖素 - 胰岛素控制器间接影响其他组织。模型模拟结果用人体运动研究的实验数据进行了验证。运动引起的激素信号变化以协调的方式调节不同组织的代谢通量率,以实现葡萄糖稳态,证明了激素对细胞代谢过程控制的有效性。根据全身葡萄糖平衡和动脉底物浓度的实验测量结果,该模型可以预测肝糖原分解和糖异生的动态变化,而这些变化在实验中不易测量,这表明糖原分解的贡献更高(约75%)。此外,它可以提供关于碳水化合物和脂质在骨骼肌燃料氧化中相对贡献的动态信息。模型模拟表明,从其他组织/器官系统向骨骼肌的外部燃料供应对于长时间运动变得很重要,强调了组织间相互作用的重要性。总之,由于该模型能够预测难以直接测量的内容,并有助于提供有关动态行为的信息,因此可作为实验研究的有价值补充。