A Discrete Variant Space Model of Cancer Evolution

Andrei Korobeinikov, Stefano Pedarra

    Research output: Chapter in BookChapterResearchpeer-review


    © 2019, Springer Nature Switzerland AG. In this paper, we suggest a discrete variant space model of cancer evolution. The model is reasonably simple, deterministic, and is formulated as a system of ordinary differential equations. The model is based on the concept of “multi-strain modeling” (or quasi-species), which is successfully applied in modeling of the infectious disease dynamics and viral dynamics. The model constructed in this paper is mechanistic; that is, it is based upon a set of explicitly stated assumptions and hypothesis (“the first principles”). This implies that model’s parameters, as well as results obtained, can be immediately interpreted, and that a further model development, e.g., incorporation into the model factors such as anticancer therapies, immune response, etc., is a reasonably straightforward procedure. To illustrate this model applicability, results of numerical simulations, as well as their biological interpretations, are provided.
    Original languageEnglish
    Title of host publicationTrends in Mathematics
    Number of pages6
    ISBN (Electronic)2297-024X
    Publication statusPublished - 1 Jan 2019


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