Green M A, Wright J C
Forensic Sci Int. 1985 May;28(1):53-62. doi: 10.1016/0379-0738(85)90165-3.
It has been clearly demonstrated that the rectal cooling curve does not obey Newton's Law, which is exponential. The first success in modelling rectal cooling mathematically was achieved by Marshall and Hoare [1]. An amendment was made to the simple exponential curve which led to a good mathematical model, exhibiting the three main sections of rectal cooling, i.e. lag, linear and quasi-exponential. The resultant method of postmortem interval estimation required a knowledge of the body mass and height. The present study has led to a totally different amendment to Newton's Law, which provides a means of postmortem interval estimation from body temperature data only. The derivation of the method, with a background on Newton's Law follows.
已经清楚地证明，直肠冷却曲线并不遵循呈指数形式的牛顿定律。马歇尔和霍尔[1]首次成功地对直肠冷却进行了数学建模。对简单的指数曲线进行了修正，从而得到了一个良好的数学模型，该模型呈现出直肠冷却的三个主要阶段，即延迟期、线性期和准指数期。由此产生的死后间隔时间估计方法需要了解体重和身高。本研究对牛顿定律进行了完全不同的修正，它提供了一种仅根据体温数据来估计死后间隔时间的方法。下面是该方法的推导过程，并以牛顿定律为背景。
