Enhancement of Newton Law of Cooling Method based on Asante’s Algorithm with Henssge Nomogram Method in Estimating the Time of Death

Noor, Noor Maizura Mohamad; Abdullah, Muhammad Bin Che; Bakar, Zuriana Abu

doi:10.7763/ijet.2017.v9.962

Cited by 1 publication

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“…Это вынуждает пользователей округлять данные термометрии и взвешивания, что привносит дополнительную погрешность в итоговый результат определения ДНС [4,8,9]. Не помогло решить данную проблему и предложение находить корни неявно заданных функций Henssge методом перебора S. Asante [10].…”

Section: Introductionunclassified

New computer technologies to determine postmortem interval by the Henssge method

Nedugov

Владимирович²

2021

Russian Journal of Forensic Medicine

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Abstract. The Henssge method is still the main thermometric method for determining postmortem interval. However, its existing software implementations are characterized by a number of disadvantages associated with copying simplified nomographic variants of the original mathematical models without any attempts to optimize them, as well as the imperfection of the procedure for finding the roots of implicit functions. In this paper, we propose methods for optimizing solutions to Henssge mathematical models and determining their errors, as well as software applications that implement them. Aim. Optimization of the Henssge algorithm and development of a series of applications based on the obtained data, designed to determine postmortem interval. Material and methods. Methods for solving double exponential Henssge models and determining their errors based on computational mathematics and regression modeling by the least squares method with subsequent implementation in the format of a computer programs in C#are optimized. Results. The discrete nature of changes in the residual variances of the double exponential Henssge models intended for determining the postmortem interval according to rectal and cranioencephalic thermometry data under conditions of constant external temperature is eliminated. It is possible to determine the interval estimates of postmortem interval at any confidence probability. The application program Warm Bodies HR has been developed, which implements the applied optimization methods. The application program Warm Bodies AHBG, designed to determine postmortem interval by the Henssge method in the conditions of a single discrete decrease or increase in the constant temperature of the external environment, including with a change in the cooling conditions of the corpse, has been developed. The search for the roots of implicit functions in programs is carried out using the Newton tangent method, which ensures the continuous nature of the source data and eliminates errors associated with the need to round directly measured physical quantities. Conclusions. The developed programs are recommended to be used in forensic medical expert practice to determine postmortem interval.

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