Stochastic dynamics of metastasis formation

Franziska Michor, Martin A. Nowak, Yoh Iwasa

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

Tumor metastasis accounts for the majority of deaths in cancer patients. The metastatic behavior of cancer cells is promoted by mutations in many genes, including activation of oncogenes such as RAS and MYC. Here, we develop a mathematical framework to analyse the dynamics of mutations enabling cells to metastasize. We consider situations in which one mutation is necessary to confer metastatic ability to the cell. We study different population sizes of the main tumor and different somatic fitness values of metastatic cells. We compare mutations that are positively selected in the main tumor with those that are neutral or negatively selected, but faster at forming metastases. We study whether metastatic potential is the property of all (or the majority of) cells in the main tumor or only the property of a small subset. Our theory shows how to calculate the expected number of metastases that are formed by a tumor.

Original languageEnglish
Pages (from-to)521-530
Number of pages10
JournalJournal of Theoretical Biology
Volume240
Issue number4
DOIs
Publication statusPublished - Jun 21 2006

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Metastasis
Stochastic Dynamics
metastasis
Tumors
Tumor
Neoplasm Metastasis
Mutation
neoplasms
Cell
mutation
Neoplasms
Cancer
cells
Population Size
gene activation
oncogenes
Fitness
Activation
Genes
Chemical activation

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Stochastic dynamics of metastasis formation. / Michor, Franziska; Nowak, Martin A.; Iwasa, Yoh.

In: Journal of Theoretical Biology, Vol. 240, No. 4, 21.06.2006, p. 521-530.

Research output: Contribution to journalArticle

Michor, Franziska ; Nowak, Martin A. ; Iwasa, Yoh. / Stochastic dynamics of metastasis formation. In: Journal of Theoretical Biology. 2006 ; Vol. 240, No. 4. pp. 521-530.
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