Fig. 2From: The prospective mathematical idea satisfying both radiation hormesis under low radiation doses and linear non-threshold theory under high radiation dosesGraph 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 < x4Back to article page