Mathematical modeling of change in color coordinates of superficial injuries of human soft tissues for forensic medicine

Abstract

We proposed an empirical mathematical model that establishes the interrelation of a plurality of points in the color space of surface damages of human soft tissues and the time interval after their appearance, which allowed taking into account the variation over time of the concentrations of hemoglobin degradation products in them that affect the color of surface lesions and establish the time interval after their occurrence. A mathematical model is developed for changing the color coordinates of surface damages of human soft tissues from the time interval after their appearance, taking into account the changes in the concentrations of the products of destruction of hemoglobin. The inverse optical problem of determining the time interval after the occurrence of superficial injuries as a result of trauma by blunt objects according to the color coordinates and the relative sizes of zones of different color of damage is solved, which can be used for digital colorimetry in forensic medical examination