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Fig. 2 | Genes and Environment

Fig. 2

From: The prospective mathematical idea satisfying both radiation hormesis under low radiation doses and linear non-threshold theory under high radiation doses

Fig. 2

Graph of probability of developing cancer D(x). The radiation dose is defined as x. The linear dashed lines from the zero points indicate LNT (Eq. 1). a D(x) with hormesis region present. The value of x for the local minimum of D(x) is defined as x2, for which Eq. 6 must be satisfied. b D(x) with no hormesis region present. c D(x) having negative values. d D(x) of type a. having the maximum hormesis region. The value of x for the local minimum of D(x) is defined as x2, for which Eqs. 5 and 6 must be satisfied. The value of x for the local maximum of D(x) is defined as x3, and the other value of x where D has the same value as the local maximum D(x3) is defined as x4 (ZEP). The hormesis region is x3 < x < x4

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