Buse M, Werner J
J Theor Biol. 1985 May 7;114(1):35-51. doi: 10.1016/s0022-5193(85)80254-x.
Human body temperature control is characterized by a local dependence of system variables and parameters. Essential properties regarding inhomogeneity of the passive system have been investigated using mathematical methods. The general diffusion-equation has been solved using implicit finite difference methods with nonlinear boundary conditions. In order to allow comparison with experimental results, a simple ideal controller has been defined. On the basis of an inhomogeneous cylinder model with four concentric layers, influences of variations due to differences between tissues and individuals or measurements of parameters such as basal metabolism and conductivity have been studied. Stationary temperature profiles calculated for homogeneous and inhomogeneous conditions have been compared. Finally, the influence of blood flow has been discussed, as well as the stationary behaviour of profiles due to blood flow and blood flow control. The change of sign of curvature of temperature profile is possible only if blood flow mechanisms and the local distribution of metabolism are taken into account.
人体体温控制的特点是系统变量和参数具有局部依赖性。已使用数学方法研究了被动系统不均匀性的基本特性。采用具有非线性边界条件的隐式有限差分法求解了一般扩散方程。为了便于与实验结果进行比较,定义了一个简单的理想控制器。基于具有四个同心层的非均匀圆柱体模型,研究了由于组织和个体差异或基础代谢和电导率等参数测量引起的变化的影响。比较了均匀和非均匀条件下计算出的稳态温度分布。最后,讨论了血流的影响以及血流和血流控制引起的温度分布的稳态行为。只有考虑血流机制和代谢的局部分布,温度分布曲线的曲率符号才可能发生变化。