Difference between revisions of "Multistage model"
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| − | The | + | The '''multistage model''' is a dose-response model that attempts to reflect the biological process of carcinogenesis. |
P(Response|Dose)= background +(1-background)*(1-exp(-q1*Dose -q2*Dose^2 -q3*Dose^3...)) | P(Response|Dose)= background +(1-background)*(1-exp(-q1*Dose -q2*Dose^2 -q3*Dose^3...)) | ||
| − | [[Category: | + | <br> |
| − | [[Category: | + | |
| + | <br>A more simple formula for (excess) risk is: | ||
| + | |||
| + | <br>P(dose) = 1 - exp [-alfa<sub>o</sub><sub></sub> +alfa1*dose1 +...alfa<sub>k</sub><sub></sub>*dosek] | ||
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| + | (alfa=dose-response) | ||
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| + | <br> | ||
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| + | <br>At risk levels (<10-2) the following linear formula can be used for the upper bound (95%) risk | ||
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| + | Risk = exposure (mg/kg/day) * q1 (risk per mg/kg/day) | ||
| + | |||
| + | q1=cancer slope factor, upper 95% confidence limit, | ||
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| + | calculated from 10% point of departure (POD) | ||
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| + | |||
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| + | See e.g. Casarett & Doull's Toxicology , 6th ed. 2001, p. 95-97. | ||
| + | |||
| + | [[Category:Health_effects]] [[Category:Needs_editing]] | ||
Latest revision as of 07:34, 27 March 2008
The multistage model is a dose-response model that attempts to reflect the biological process of carcinogenesis.
P(Response|Dose)= background +(1-background)*(1-exp(-q1*Dose -q2*Dose^2 -q3*Dose^3...))
A more simple formula for (excess) risk is:
P(dose) = 1 - exp [-alfao +alfa1*dose1 +...alfak*dosek]
(alfa=dose-response)
At risk levels (<10-2) the following linear formula can be used for the upper bound (95%) risk
Risk = exposure (mg/kg/day) * q1 (risk per mg/kg/day)
q1=cancer slope factor, upper 95% confidence limit,
calculated from 10% point of departure (POD)
See e.g. Casarett & Doull's Toxicology , 6th ed. 2001, p. 95-97.
