Computationally approximated solution for the equation for Henssge's time of death estimation

Area of Science:

• Forensic Science
• Biophysics
• Computational Modeling

Background:

• The Henssge equation models human body cooling for time of death estimation.
• Traditional methods rely on nomograms and rulers, with assumptions of initial body temperature and stable ambient temperature.
• There is a growing demand for digital applications for time of death estimation.

Purpose of the Study:

• To develop and explain an efficient computational approximation for the Henssge equation.
• To provide a user-friendly digital solution for time of death estimation.
• To address user requests for understanding the approximation of the Henssge equation.

Main Methods:

• Approximating Henssge's double exponential equation by minimizing the difference between equation terms.
• Utilizing a discrete set of sensible possible solutions within practical time limits.
• Identifying the time of death that yields the minimal difference between equation terms.

Main Results:

• The computational solution effectively approximates the Henssge equation.
• The method allows for minimal difference between equation terms, indicating the most accurate time of death.
• The developed computational solution has been available online since 2005.

Conclusions:

• Computational models offer advantages over traditional nomograms, including the ability to model hypothermia and hyperthermia.
• While the Henssge equation is mathematically complex, computational methods provide a viable approximation.
• The study provides an accessible computational approach to a critical forensic medicine problem.