A Mathematical Model for Estimating Biological Damage Caused by Radiation

TL;DR

This paper introduces a mathematical model that accounts for recovery and proliferation effects to better estimate biological damage from low-dose radiation, highlighting the importance of dose rate in survival outcomes.

Contribution

The model incorporates recovery and proliferation mechanisms, providing a more realistic estimation of damage from low-dose irradiation compared to traditional models.

Findings

Lower dose rates increase survival chances of living tissues.

The model reproduces the dose and dose-rate effectiveness factor (DDREF).

Recovery effects significantly influence biological damage estimates.

Abstract

We propose a mathematical model for estimating biological damage caused by low-dose irradiation. We understand that the Linear Non Threshold (LNT) hypothesis is realized only in the case of no recovery effects. In order to treat the realistic living objects, our model takes into account various types of recovery as well as proliferation mechanism, which may change the resultant damage, especially for the case of lower dose rate irradiation. It turns out that the lower the radiation dose rate, the safer the irradiated system of living object (which is called symbolically "tissue" hereafter) can have chances to survive, which can reproduce the so-called dose and dose-rate effectiveness factor (DDREF).