Difference between revisions of "Multistage model"

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 [-alfa_o +alfa1*dose1 +...alfa_k*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.

@@ Line 3: / Line 3: @@
 P(Response|Dose)= background +(1-background)*(1-exp(-q1*Dose -q2*Dose^2 -q3*Dose^3...))
+<br>
+<br>A more simple&nbsp;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]
-A more simple&nbsp;
-the formula for (excess) risk is:
-P(dose) = 1 - exp [-alfao +alfa1 *
-dose1 +...alfak * dose]
 (alfa=dose-response)
+<br>
+<br>At risk levels (&lt;10-2) the following linear formula can be used for the upper bound (95%) risk
-At
-risk levels (&lt;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 &amp; Doull's Toxicology
-&nbsp;, 6th ed. 2001, p. 95-97.
+See e.g. Casarett &amp; Doull's Toxicology&nbsp;, 6th ed. 2001, p. 95-97.
 [[Category:Health_effects]] [[Category:Needs_editing]]