The site of the Media Sphera Publishers contains materials intended solely for healthcare professionals.
By closing this message, you confirm that you are a certified medical professional or a student of a medical educational institution.

Login
EN
+7 (495) 482-4118
+7 (495) 482-0604
+8 800 250-18-12
  • (toll-free number for subscriptions)
    Mon-Fri from 10 a.m. to 6 p.m.

  • © 1998-2025
+7 (495) 482-43-29
EN
All journals
Journal
Year
Year
Search result: 0

Nedugov V.G.

Samara National Research University (Samara University)

Nedugov G.V.

Samara State Medical University

Thermometrical determination of the postmortem interval by non-linear optimization method

Authors:

Nedugov V.G., Nedugov G.V.

More about the authors

Journal: Forensic Medical Expertise. 2024;67(5): 19‑23

DOI: 10.17116/sudmed20246705119

Read: 1196 times

Download PDF (RU)
Contact the author
Table of contents

THERMOMETRICAL DETERMINATION OF THE POSTMORTEM INTERVAL BY NON-LINEAR OPTIMIZATION METHOD
THERMOMETRICAL DETERMINATION OF THE POSTMORTEM INTERVAL BY NON-LINEAR OPTIMIZATION METHOD

To cite this article:

Nedugov VG, Nedugov GV. Thermometrical determination of the postmortem interval by non-linear optimization method. Forensic Medical Expertise. 2024;67(5):19‑23. (In Russ.)
https://doi.org/10.17116/sudmed20246705119

Подписка 2026 Судебно-медицинская экспертиза (Forensic Medical Expertise)
 
МСФ на ЯМ
Использование инфографики авторами научных работ
Close metadata
Recommended articles:
Fore­nsic medi­cal evaluation of idiomuscular contracture. Fore­nsic Medi­cal Expe­rtise. 2025;(2):9-13
Dete­rmination of «solar factor» magnitude in mathematical simu­lation of the process of corpse’s temperature change of under conditions of inso­lation. Fore­nsic Medi­cal Expe­rtise. 2025;(2):25-30
Unusual supravital muscle reaction of the upper limbs caused by an atte­mpt to obtain an idiomuscular tumor. Fore­nsic Medi­cal Expe­rtise. 2025;(3):47-50
On the possibility of esta­blishing postmortem inte­rval of human by examining the electrical conductivity of the knee joints’ syno­vial fluid. Fore­nsic Medi­cal Expe­rtise. 2025;(4):21-28
Mathematical programming in asse­ssment of the postmortem inte­rval under conditions of linearly varying exte­rnal temperature. Fore­nsic Medi­cal Expe­rtise. 2025;(4):34-39
Accountance of instrumental error in measuring corpse’s temperature when dete­rmining postmortem inte­rval (a case from practice). Fore­nsic Medi­cal Expe­rtise. 2025;(5):53-57
Abstract:

OBJECTIVE

To develop and implement an online application for the numerical method of determination of the postmortem interval and its limiting faults, caused by errors of measurement processes, based on the Marshall-Hoare law of cooling and dual thermometry of the corpse’s core.

MATERIAL AND METHODS

The numerical search for a minimum of two variables’ target function, obtained from the system of non-linear Marshall-Hoare equations, reflecting the dual thermometry of the corpse’s core was performed. The code of online program was written in Python 3 programming language.

RESULTS

The method for determination of the postmortem interval, based on iterative algorithm of non-linear optimization, allowing by dual thermometry of the corpse to consider the uniqueness of its cooling conditions, as well as to calculate the degree of uncertainty of computational estimations, caused by the impact of measurement errors, has been developed. The method is implemented in the format of the Warm Bodies Z online application.

CONCLUSIONS

The developed numerical method and its online application are recommended for determining of the postmortem interval.

Keywords:

postmortem interval
dual thermometry of corpse
Marshall-Hoare equation
non-linear optimization
iterative algorithm

Authors:

Nedugov V.G.

Samara National Research University (Samara University)

Nedugov G.V.

Samara State Medical University

Received:

16.10.2023

Accepted:

25.10.2023

Close metadata

References:

  1. Marshall TK, Hoare FE. Estimating the time of death. The rectal cooling after death and its mathematical expression. Journal of Forensic Sciences. 1962;7(1):56-81. 
  2. Marshall TK. The use of body temperature in estimating the time of death and its limitations. Med Sci Law. 1969;9(3):178-182.  https://doi.org/10.1177/002580246900900304
  3. Brown A, Marshall TK. Body temperature as a means of estimating the time of death. Forensic Sci. 1974;4(2):125-133.  https://doi.org/10.1016/0300-9432(74)90093-4
  4. Henssge C. Death time estimation in case work. I. The rectal temperature time of death nomogram. Forensic Sci Int. 1988;38(3-4):209-236.  https://doi.org/10.1016/0379-0738(88)90168-5
  5. Henssge C. Rectal temperature time of death nomogram: dependence of corrective factors on the body weight under stronger thermic insulation conditions. Forensic science international. 1992;54(1):51-66.  https://doi.org/10.1016/0379-0738(92)90080-G
  6. Potente S, Kettner M, Ishikawa T. Time since death nomographs implementing the nomogram, body weight adjusted correction factors, metric and imperial measurements. International journal of legal medicine. 2019;133(2):491-499.  https://doi.org/10.1007/s00414-018-1928-z
  7. Giana FE, Onetto MA, Pregliasco RG. Uncertainty in the estimation of the postmortem interval based on rectal temperature measurements: A Bayesian approach. Forensic science international. 2020;317:110505. https://doi.org/10.1016/j.forsciint.2020.110505
  8. Green MA, Wright JC. Postmortem interval estimation from body temperature data only. Forensic science international. 1985;28(1):35-46.  https://doi.org/10.1016/0379-0738(85)90163-x
  9. Green MA, Wright JC. The theoretical aspects of the time dependent Z equation as a means of postmortem interval estimation using body temperature data only. Forensic science international. 1985;28(1):53-62.  https://doi.org/10.1016/0379-0738(85)90165-3
  10. Nokes LD, Brown A, Knight B. A self-contained method for determining time since death from temperature measurements. Medicine, science and the law. 1983;23(3):166-170.  https://doi.org/10.1177/002580248302300303
  11. Brown A, Hicks B, Knight B, Nokes LD. Determination of time since death using the double exponential cooling model. Medicine, science and the law. 1985;25(3):223-227.  https://doi.org/10.1177/002580248502500310
  12. Rodrigo MR. Time of death estimation from temperature readings only: A Laplace transform approach. Applied Mathematics Letters. 2015;39:47-52.  https://doi.org/10.1016/j.aml.2014.08.016
  13. Rodrigo MR. A Nonlinear Least Squares Approach to Time of Death Estimation Via Body Cooling. Journal of forensic sciences. 2016;61(1):230-233.  https://doi.org/10.1111/1556-4029.12875
  14. Moré JJ, Sorensen DC, Hillstrom KE, Garbow BS. The MINPACK Project. In Cowell WJ. Sources and Development of Mathematical Software. USA: Prentice-Hall; 1984.
  15. Nedugov GV. Numerical method for solving double exponential models of corpse cooling in the determination of the time of death. Forensic Medical Expertise. 2021;64(6):25-28. (In Russ.). https://doi.org/10.17116/sudmed20216406125
  16. Nocedal J, Wright SJ. Numerical Optimization. New York: Springer-Verlag; 2006. https://doi.org/10.1007/978-0-387-40065-5
  17. Powell MJD. A Hybrid Method for Nonlinear Equations. In: Rabinowitz P. Numerical Methods for Nonlinear Algebraic Equations. London, New York: Gordon and Breach Science Publishers; 1970.
  18. Kil’diushov EM, Buromskiĭ IV. The use of correction factors in establishing the time of death at the site where the corpse was found with the help of the nomograms of C. Henssge. Forensic Medical Expertise.1997;40(4):4-7. (In Russ.).
  19. Kil’diushov EM. The specificity of thermometry of cadavers of newborns in prescribing the time of the coming of death. Forensic Medical Expertise. 2005;48(1):18-21. (In Russ.).
  20. Hubig M, Muggenthaler H, Sinicina I, Mall G. Body mass and corrective factor: impact on temperature-based death time estimation. International journal of legal medicine. 2011;125(3):437-444.  https://doi.org/10.1007/s00414-011-0551-z
  21. Dani LM, Tóth D, Frigyik AB, Kozma Z. Beyond Henssge’s Formula: Using Regression Trees and a Support Vector Machine for Time of Death Estimation in Forensic Medicine. Diagnostics (Basel). 2023;13(7):1260. https://doi.org/10.3390/diagnostics13071260
Contact the author
Email
Message
The publishing house "Media Sphere" does not provide treatment services, does not give recommendations on contacting medical institutions and specific specialists, on the prescription of medicines and dietary supplements.

Email Confirmation

An email was sent to test@gmail.com with a confirmation link. Follow the link from the letter to complete the registration on the site.

Email Confirmation

Contact us
If you have any questions, complaints or suggestions, please use this feedback form.
Email
Message
The publishing house "Media Sphere" does not provide treatment services, does not give recommendations on contacting medical institutions and specific specialists, on the prescription of medicines and dietary supplements.
Submit Application

You can become an author of one of our magazines, send a request and we will consider it in during the day.

Name
Phone
E-mail
Message
Login
Registration
E-mail
Password
Forgot Password?

Log in to the site using your account in one of the services

Password recovery
E-mail
Login
Register

We use cооkies to improve the performance of the site. By staying on our site, you agree to the terms of use of cооkies. To view our Privacy and Cookie Policy, please. click here.