2020
DOI: 10.1186/s41021-020-0145-4
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The prospective mathematical idea satisfying both radiation hormesis under low radiation doses and linear non-threshold theory under high radiation doses

Abstract: 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… Show more

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Cited by 9 publications
(50 citation statements)
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“…The theory of hormesis is still a theory [ 153 , 154 ]. Considerable further research is required to prove, disprove, or modify it.…”
Section: Discussionmentioning
confidence: 99%
“…The theory of hormesis is still a theory [ 153 , 154 ]. Considerable further research is required to prove, disprove, or modify it.…”
Section: Discussionmentioning
confidence: 99%
“…With reference to a previous report [5], we defined the radiation dose as x, the cancer death rate as D(x), and the inhibition effect as R(x). The radiation dose at which R(x) reaches a maximum is defined as x 1 , the value of x for the local minimum of D(x) as x 2 , the value of x for the local maximum of D(x) as x 3 , and the other value of x where D has the same value as D(x 3 ) as x 4 .…”
Section: Equations and Graphsmentioning
confidence: 99%
“…The radiation dose at which R(x) reaches a maximum is defined as x 1 , the value of x for the local minimum of D(x) as x 2 , the value of x for the local maximum of D(x) as x 3 , and the other value of x where D has the same value as D(x 3 ) as x 4 . Therefore, such definitions lead the hormesis region to x 3 -x 4 mSv [5].…”
Section: Equations and Graphsmentioning
confidence: 99%
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