Cancer slope factor

Cancer slope factors (CSF) are used to estimate the risk of cancer associated with exposure to a carcinogenic or potentially carcinogenic substance. A slope factor is an upper bound, approximating a 95% confidence limit, on the increased cancer risk from a lifetime exposure to an agent by ingestion or inhalation. This estimate, usually expressed in units of proportion (of a population) affected per mg of substance/kg body weight-day, is generally reserved for use in the low-dose region of the dose-response relationship, that is, for exposures corresponding to risks less than 1 in 100. Slope factors are also referred to as cancer potency factors (PF).
Toxicity Assessments for Carcinogenic Effects.
For carcinogens, it is commonly assumed that a small number of molecular events may evoke changes in a single cell that can lead to uncontrolled cellular proliferation and eventually to a clinical diagnosis of cancer. This toxicity of carcinogens is referred to as being "non-threshold" because there is believed to be essentially no level of exposure that does not pose some probability of producing a carcinogenic response, therefore, there is no dose that can be considered to be risk-free. However, some (non-genotoxic) carcinogens may exhibit a threshold whereby doses lower than the threshold do not invoke a carcinogenic response. 
When evaluating cancer risks of genotoxic carcinogens, theoretically an effect threshold cannot be estimated. For chemicals that are carcinogens, a two-part evaluation to quantify risk is often employed in which the substance first is assigned a weight-of-evidence classification, and then a "slope factor" is calculated.
Generating a Slope Factor.
When the chemical is a known or probable human carcinogen, a toxicity value that defines quantitatively the relationship between dose and response (i.e., the slope factor) is calculated. Because risk at low exposure levels is difficult to measure directly either by animal experiments or by epidemiologic studies, the development of a slope factor generally entails applying a model to the available "data set" and using the model to extrapolate from the relatively high doses administered to experimental animals (or the exposures noted in epidemiologic studies) to the lower exposure levels expected for human contact in the environment.
Data Sets.
High-quality human data (e.g. high quality epidemiological studies) on carcinogens are preferable to animal data. When human data are limited, the most sensitive species is given the greatest emphasis. Occasionally, in situations where no single study is judged most appropriate, yet several studies collectively support the estimate, the geometric mean of estimates from all studies may be adopted as the slope. This practice ensures the inclusion of all relevant data.
Weight-of-Evidence Classification for Carcinogens.
Slope factors are typically calculated for potential carcinogens in classes A, B1, and B2. Quantitative estimation of slope factors for the chemicals in class C proceeds on a case-by-case basis. The slope factor is used in risk assessments to estimate an upper-bound lifetime probability of an individual developing cancer as a result of exposure to a particular level of a potential carcinogen. Slope factors should always be accompanied by the "weight of-evidence" classification to indicate the strength of the evidence that the agent is a human carcinogen.
Calculation of Cancer Risk.
For each age interval "i", the cancer risk for exposure by a specified pathway is computed as:
formula_1
Where:
Risk Specific Dose (RSD).
The Cancer Slope Factor is used to derive the Risk Specific Dose (RSD)(mg/kg-day) for direct-acting carcinogenic agents, those that cause chemical changes (mutations) in DNA. It is also the default choice for carcinogens when there are insufficient data to demonstrate that the mode of action of the chemical is nonlinear. The RSD is often calculated based on a one-in-a-million extra risk (10−6 risk) or a one-in-a-hundred-thousand risk (10−5 risk) for other-than highly exposed individuals. The term "extra" in the definition of the RSD refers to a risk from environmental exposure to the chemical of interest above the background risk that is always present.
The formula to calculate the RSD for a chemical based on a one-in-a-million extra risk (10−6 risk) is: RSD = 0.000001 / CSF
Potency Factor.
The CSF is also called a "potency factor" and is used to calculate the Incremental Lifetime Cancer Risk by multiplying the CSF by the chronic daily intake (CDI). The CDI is the dose over a lifetime and is expressed in mg/kg-day.