A Mathematical Model of Cancer Evolution

David Moreno Martos, Andrei Korobeinikov

    Research output: Chapter in BookChapterResearchpeer-review

    Abstract

    © 2019, Springer Nature Switzerland AG. Cancer appears as a result of mutations and, due to a very high mutability of cancer cells, undergoes a continuous evolution through its development. In this note, we introduce a mathematical model of the cancer initial development. The model describes the cancer evolution in a continuous variant space. It is based upon the logistic population growth model (the Lotka–Volterra model of competing populations) and includes a possibility for cell mutations and competition of different genotypes for limited resources. Numerical simulations are performed to demonstrate the model suitability.
    Original languageEnglish
    Title of host publicationTrends in Mathematics
    Pages81-85
    Number of pages4
    Volume11
    ISBN (Electronic)2297-024X
    DOIs
    Publication statusPublished - 1 Jan 2019

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