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首页> 外文期刊>BMC Medical Informatics and Decision Making >Computationally approximated solution for the equation for Henssge’s time of death estimation
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Computationally approximated solution for the equation for Henssge’s time of death estimation

机译:Henssge死亡时间估算方程的计算近似解

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Time of death estimation in humans for the benefit of forensic medicine has been successfully approached by Henssge, who modelled body cooling based on measurements of Marshall and Hoare. Thereby, body and ambient temperatures are measured at the death scene to estimate a time of death based on a number of assumptions, such as initial body temperature and stable ambient temperature. While so far, practical use of the method resorted to paper print outs or copies of a nomogram using a ruler, increasingly, users are interested in computer or mobile device applications. We developed a computational solution that has been available online as a web accessible PHP program since 2005. From that, we have received numerous requests not so much to detail our code but to explain how to efficiently approximate the solution to the Henssge equation. To solve Henssge’s double exponential equation that models physical cooling of a body, it is sufficient to determine a difference term of the equation that will be close to zero for the correct time of death using a discrete set of all sensible possible solutions given that the modelled time frame has practical upper limits. Best post-mortem interval approximation yields minimal difference between equation terms The solution is approximated by solving the equation term difference for a discrete set of all possible time of death intervals that are sensibly found, and by then determining the particular time of death where equation term difference is minimal. The advantage of a computational model over the nomogram is that the user is also able to model hypothermia and hyperthermia. While mathematically impossible to solve in a straightforward way, solutions to the Henssge equation can be approximated computationally.
机译:汉斯(Henssge)成功地采用了人类法医估算死亡时间的方法,他根据Marshall和Hoare的测量结果为人体冷却建模。因此,在死亡现场测量身体和环境温度,以基于许多假设,例如初始身体温度和稳定的环境温度,估计死亡时间。到目前为止,该方法的实际使用依靠尺子实现了纸质打印输出或列线图的复印,用户越来越对计算机或移动设备应用感兴趣。自2005年以来,我们开发了一种计算解决方案,该解决方案作为Web上可访问的PHP程序在线提供。由此,我们收到了许多请求,而不仅仅是详细说明我们的代码,而是说明如何有效地对Henssge方程进行近似。为了解决对人体物理冷却建模的Henssge双指数方程,只要在模型正确的情况下,使用所有明智的可能解的离散集,就足以确定方程的差分项,对于正确的死亡时间,该差分项将接近零。时间范围有实际上限。最佳验尸间隔近似值可以使方程项之间的差异最小。通过合理地找到所有可能的死亡间隔时间的离散集合,求解方程项差异,然后确定方程项,确定特定的死亡时间,即可得出近似解。差异很小。与诺模图相比,计算模型的优势在于用户还可以对体温过低和体温过高进行建模。虽然数学上无法直接解决,但可以通过计算近似得出Henssge方程的解。

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