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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

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