Duits E H, Molenaar J, van Rappard J H
Mathematics Consulting Department, St. Radboud Hospital, Nijmegen, The Netherlands.
Plast Reconstr Surg. 1989 Feb;83(2):362-7. doi: 10.1097/00006534-198902000-00031.
In this paper we present mathematical models of tissue expanders of several shapes. Within the restrictions of the models, relations are given between surface-area gain and volume of the expanders. It is shown that for the most frequently used expander shapes, the relevant formulas are simple and do not require computer facilities. It is discussed that the approach unavoidably leads to considerable overestimation of the area gain but may serve as a necessary starting point for further research. Furthermore, the rate of overestimation appears to follow such a regular pattern that it can quite easily be compensated for by means of a correcting factor.
在本文中，我们给出了几种形状的组织扩张器的数学模型。在模型的限制范围内，给出了扩张器表面积增加量与体积之间的关系。结果表明，对于最常用的扩张器形状，相关公式很简单，不需要计算机设备。讨论了这种方法不可避免地会导致对面积增加量的大幅高估，但可作为进一步研究的必要起点。此外，高估率似乎遵循一种相当规律的模式，通过一个校正因子可以很容易地对其进行补偿。
