What is it about?
It has yet to be determined whether or not the probability of developing cancer due to radiation exposure levels of low doses is proportional to the dose. Herein, for radiation hormesis occurring at low doses, mathematical models using functions that take a mountain-like shape having two inflection points are considered. The following perspectives were obtained: (i) When the probability of developing cancer decreases at radiation levels above the natural background dose, the radiation hormesis effect occurs up to ~ 12.4 mSv. (ii) When there is a proportional relationship at ≥750 mSv, the radiation hormesis effect occurs up to ~ 225 mSv. Thus, by performing studies at the molecular and cellular levels for radiation doses at ≤16.8 or 307 mSv, it is possible to investigate carcinogenesis resulting from low radiation doses.
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Why is it important?
When the probability of developing cancer decreases at radiation levels above the natural background dose, the maximum ZEP becomes ~ 12.4 mSv, and at the same time, a proportional relationship is approximately obtained at ≥100 mSv. At ~ 16.8 mSv, R(x) reaches a maximum. Add- itionally, for Eq. 4, a hormesis region appears when ~ 0.368 ≤ ka < ~ 0.461. When there is a proportional relationship at ≥750 mSv, the maximum ZEP becomes ~ 225 mSv. At ~ 307 mSv, R(x) reaches a maximum. Since statistically measuring D(x) at low doses is effectively not possible, analyzing the following three points would help clarify the radiation hormesis effect, perhaps making it possible to determine the probability of developing cancer at low doses. (i) Finding a factor which expressed inhibition effect versus dose has the approximate form of Fig. 1b. (ii) Analyzing the variations of the inhibitor factor in the region up to ~ 16.8 or 307 mSv. (iii)Determining k, which indicates the correlation between D(x) and R(x).
Perspectives
Although preliminary, it is felt that the results and discussions presented in this paper may be of potential use to other researchers. Furthermore, if such inhibition factors are identified, it might possibly lead to a method of effectively reducing the cancer rates.
Katsuhito Kino
Tokushima Bunri Univ.
Read the Original
This page is a summary of: The prospective mathematical idea satisfying both radiation hormesis under low radiation doses and linear non-threshold theory under high radiation doses, Genes and Environment, February 2020, Springer Science + Business Media,
DOI: 10.1186/s41021-020-0145-4.
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