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Table 5 Special cases with γmax = γminfor Uge ≥ 0

From: A model of gene-gene and gene-environment interactions and its implications for targeting environmental interventions by genotype

Special cases with γmax= γmin Special cases with γmax= γminand specific G-E interaction models Special cases with γmax= γminand all risks all 0 or 1
Risk distribution Conditions Population impact and Utility Risk distribution Conditions Population impact and Utility Risk distribution Conditions Population impact and Utility
         1 1 rt = 1 PAFe = 0 Undefined (PAFge = 0)
     R00 1 γminge = γmaxge (Rge = 1 and PAFge = PAFe) fge = 1/PAFe PI = 1 Uge = 1-γ 1 1   
Rg0 1 γminge = γmaxge (Rge = 1 and PAFge = PAFe) fge ≥ 1 PI = 1 Uge = 1-γ R00 R00    0 1 rt = γε PAFe = 1 PI = 1 Uge = 1-γ
R00 R00    Rg0 1 γminge = γ0 = γmaxge (Rge = 1; R00 = 0; PAFge = PAFe) fge = 1 PI = 1 Uge = 1-γ 0 0   
Rg0 1 γminge = γ0 (Rge = 1; R00 = 0) 0 ≤ fge ≤ 1 0 = PI = 1 Uge = PI-γ 0 0    1 1 rt = γ PAFe = 0 Undefined (PAFge = 0)
0 R0e    1-R0e 1 γminge = γ0 (Rge = 1; R00 = 0) fge = 0 PI = γ Uge = 0 0 0   
     0 R0e    0 1 rt = ε PAFe = 1 PI = γ Uge = 0
         0 1