A Mathematical Model of Cancer Evolution

David Moreno Martos, Andrei Korobeinikov

    Research output: Chapter in BookChapterResearchpeer-review


    © 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
    Number of pages4
    ISBN (Electronic)2297-024X
    Publication statusPublished - 1 Jan 2019


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