Limits of applicability for the deterministic approximation of the two-step clonal expansion model

Risk Analysis

Volumn 21, Issue 1, 2001, Pages 103-106

  Heidenreich, Wolfgang F ^a   Hoogenveen, Rudolf ^b  

^a INSTITUTE OF EPIDEMIOLOGY   (Germany)

^b NATIONAL INSTITUTE FOR PUBLIC HEALTH AND THE ENVIRONMENT   (Netherlands)

Author keywords

Clonal expansion model; Deterministic approximation; MVK model; Survival function

Indexed keywords

APPROXIMATION THEORY; CELLS; HAZARDS;

HYPOTHESIS;

RISK ASSESSMENT;

RISK ASSESSMENT;

ARTICLE; CELL DIVISION; ENVIRONMENTAL EXPOSURE; HEALTH HAZARD; HUMAN; MATHEMATICAL MODEL; SURVIVAL RATE;

EID: 0034916549     PISSN: 02724332     EISSN: None     Source Type: Journal    
DOI: 10.1111/0272-4332.211093     Document Type: Article

References (7)

1. Two-event model for carcinogenesis: Biological, mathematical, and statistical considerations
2. An alternative exact solution of the two-stage clonal growth model of cancer
3. The exact formula for tumor incidence in the two-stage model
4. On the exact hazard and survival functions of the MVK stochastic carcinogenesis model
5. On the parameters of the clonal expansion model
6. Solutions of the clonal expansion model and their application to the tumor incidence of the atomic bomb survivors
7. Some properties of the hazard function of the two-mutation clonal expansion model