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[Mathematical programming in assessment of the postmortem interval under conditions of linearly varying external
1Samara National Research University (Samara University) named after S.P. Korolev, Samara, Russia.
Objective:
To develop and implement a method for determining the postmortem interval and the marginal errors of its estimates under conditions of linearly varying external temperature in the format of an online application.
Material And Methods:
A computer-assissted numerical search for the absolute minimum point of the objective function obtained from a system of nonlinear equations reflecting the results of double rectal or cranioencephalic thermometry of a corpse under conditions of linearly varying external temperature was carried out. The search algorithm was generalized to possible marginal errors in measuring the initial indicators of temperature and time. The code of the online program was compiled in Python 3.
Results:
A method based on an iterative nonlinear optimization algorithm for determining the postmortem interval in linearly varying external temperature has been developed. It allows using double rectal or cranioencephalic thermometry to consider the uniqueness of the corpse's cooling conditions using double rectal or cranioencephalic thermometry, as well as to find the degree of uncertainty of computational estimates of the method caused by the impact of measurement errors. The method is implemented in the format of the Warm Bodies Z 2 online application.
Conclusion:
The developed method and the online application implementing it are recommended to establish the postmortem interval.
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