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Limits on the gene-environment interaction factor (fge) and the proportion of the population in the high-genotypic risk group (γ). |
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| Gene-environment interaction model |
Interaction factor fge |
Risk distribution |
Utility Uge |
Fraction of population at high genotypic risk |
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| Maximum γmax |
Minimum γmin |
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| Genetic effect in high-exposure group only |
1/PAFEe |
R00 |
Rge |
Positive |
γmaxge (where PAFEge = PAFEe; PI = 1; and Uge = 1-γ). |
γminge (where Rge = 1). |
| R00 |
R0e |
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| Multiplicative |
1 |
Rg0 |
Rg0R0e/R00 |
γmaxge = γ0 (where PAFEge = PAFEe; R00 = 0; and PAFGg = 1). |
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| R00 |
R0e |
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| Additive |
0 |
Rg0 |
Rg0+R0e-R00 |
Zero |
γ0 (where R00 = 0). |
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| R00 |
R0e |
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| Reverse multiplicative |
-rt/(1-rt) |
Rg0 |
(1-Rg0) (1-R0e)/(1-R00) |
Negative |
γneg = γminge (where PAFEge = 0 and Rge = 1) |
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| R00 |
R0e |
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| Genetic effect in low-exposure group only |
-ε/(1-ε)PAFEe |
Rg0 |
R0e |
γneg (where PAFEge = 0 and PI = 0). |
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| R00 |
R0e |
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Wallace Theoretical Biology and Medical Modelling 2006 3:35 doi:10.1186/1742-4682-3-35 |
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