# Stochastic two-stage model for cancer risk assessment. I. The hazard function and the probability of tumor

## Abstract

The authors present a mathematical treatment of a two-mutation model for carcinogenesis with time-dependent parameters. This model has previously been shown to be consistent with epidemiologic and experimental data. An approximate hazard function used in previous papers is critically evaluated.

- Authors:

- Publication Date:

- Research Org.:
- Fred Hutchinson Cancer Research Center, Seattle, WA (USA)

- OSTI Identifier:
- 6277709

- Resource Type:
- Journal Article

- Journal Name:
- Risk Anal.; (United States)

- Additional Journal Information:
- Journal Volume: 8:3

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 63 RADIATION, THERMAL, AND OTHER ENVIRON. POLLUTANT EFFECTS ON LIVING ORGS. AND BIOL. MAT.; CARCINOGENESIS; STATISTICAL MODELS; HUMAN POPULATIONS; HEALTH HAZARDS; NEOPLASMS; RISK ASSESSMENT; ANIMAL CELLS; BIOLOGICAL EFFECTS; CARCINOGENS; CYTOLOGY; DOSE LIMITS; DOSE-RESPONSE RELATIONSHIPS; GROWTH; KOLMOGOROV EQUATION; PROBABILITY; STOCHASTIC PROCESSES; TIME DEPENDENCE; TUMOR CELLS; BIOLOGY; DIFFERENTIAL EQUATIONS; DISEASES; EQUATIONS; HAZARDS; MATHEMATICAL MODELS; PATHOGENESIS; POPULATIONS; SAFETY STANDARDS; STANDARDS; 560300* - Chemicals Metabolism & Toxicology

### Citation Formats

```
Moolgavkar, S H, Dewanji, A, and Venzon, D J.
```*Stochastic two-stage model for cancer risk assessment. I. The hazard function and the probability of tumor*. United States: N. p., 1988.
Web. doi:10.1111/j.1539-6924.1988.tb00502.x.

```
Moolgavkar, S H, Dewanji, A, & Venzon, D J.
```*Stochastic two-stage model for cancer risk assessment. I. The hazard function and the probability of tumor*. United States. doi:10.1111/j.1539-6924.1988.tb00502.x.

```
Moolgavkar, S H, Dewanji, A, and Venzon, D J. Thu .
"Stochastic two-stage model for cancer risk assessment. I. The hazard function and the probability of tumor". United States. doi:10.1111/j.1539-6924.1988.tb00502.x.
```

```
@article{osti_6277709,
```

title = {Stochastic two-stage model for cancer risk assessment. I. The hazard function and the probability of tumor},

author = {Moolgavkar, S H and Dewanji, A and Venzon, D J},

abstractNote = {The authors present a mathematical treatment of a two-mutation model for carcinogenesis with time-dependent parameters. This model has previously been shown to be consistent with epidemiologic and experimental data. An approximate hazard function used in previous papers is critically evaluated.},

doi = {10.1111/j.1539-6924.1988.tb00502.x},

journal = {Risk Anal.; (United States)},

number = ,

volume = 8:3,

place = {United States},

year = {1988},

month = {9}

}

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