Multistage model: Difference between revisions

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 7: / Line 7: @@
 <br>A more simple&nbsp;formula for (excess) risk is:
-<br>P(dose) = 1 - exp [-alfao +alfa1 *
+<br>P(dose) = 1 - exp [-alfa<sub>o</sub><sub></sub> +alfa1*dose1 +...alfa<sub>k</sub><sub></sub>*dosek]
-<br>dose1 +...alfak * dose]
 (alfa=dose-response)
@@ Line 15: / Line 13: @@
 <br>
-<br>At
+<br>At risk levels (&lt;10-2) the following linear formula can be used for the upper bound (95%) risk
-<br>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)
@@ Line 23: / Line 19: @@
 q1=cancer slope factor, upper 95% confidence limit,
-<br>calculated from 10% point of departure (POD)
+calculated from 10% point of departure (POD)
-<br>from experimental data
-<br>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]]