Multistage model: Difference between revisions
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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: | |||
[[Category: | |||
A more simple | |||
the formula for (excess) risk is: | |||
P(dose) = 1 - exp [-alfao +alfa1 * | |||
dose1 +...alfak * dose] | |||
(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) | |||
from experimental data | |||
See e.g. Casarett & Doull's Toxicology | |||
, 6th ed. 2001, p. 95-97. | |||
[[Category:Health_effects]] [[Category:Needs_editing]] |
Revision as of 07:29, 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
the formula for (excess) risk is:
P(dose) = 1 - exp [-alfao +alfa1 *
dose1 +...alfak * dose]
(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)
from experimental data
See e.g. Casarett & Doull's Toxicology
, 6th ed. 2001, p. 95-97.