Cancer Evolution: The Appearance and Fixation of Cancer Cells

Stefano Pedarra, Andrei Korobeinikov

    Research output: Chapter in BookChapterResearchpeer-review

    Abstract

    © 2019, Springer Nature Switzerland AG. Cancer appears as a result of mutation of normal tissue cells. In this paper, we consider the initial stage of the cancer appearance and development. In particular, we study the conditions that are necessary for an initial fixation of the mutant cells in a patient tissue and their further successful development. In order to do this, we are using a reasonably simple mutation-selection model composed of two interacting populations, namely, the normal cells and the mutant cells. Conditions for persistence of the mutant cells are found.
    Original languageEnglish
    Title of host publicationTrends in Mathematics
    Pages289-294
    Number of pages5
    Volume11
    ISBN (Electronic)2297-024X
    DOIs
    Publication statusPublished - 1 Jan 2019

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  • Cite this

    Pedarra, S., & Korobeinikov, A. (2019). Cancer Evolution: The Appearance and Fixation of Cancer Cells. In Trends in Mathematics (Vol. 11, pp. 289-294) https://doi.org/10.1007/978-3-030-25261-8_43