English

The age incidence of any cancer can be explained by a one-mutation model

Probability 2008-08-19 v1 Quantitative Methods

Abstract

We propose a one mutation model for cancer with a mutation rate that increases with time. Under rather general hypotheses the number of mutations is necessarily a (non homogeneous) Poisson process with the prescribed mutation rate. We show that the cumulative probability of cancer up to time tt is, up to a multiplicative constant, an antiderivative of the mutation rate.

Keywords

Cite

@article{arxiv.0808.2424,
  title  = {The age incidence of any cancer can be explained by a one-mutation model},
  author = {Rinaldo B. Schinazi},
  journal= {arXiv preprint arXiv:0808.2424},
  year   = {2008}
}