Abstract
© 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 language | English |
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Title of host publication | Trends in Mathematics |
Pages | 19-25 |
Number of pages | 6 |
Volume | 11 |
ISBN (Electronic) | 2297-024X |
DOIs | |
Publication status | Published - 1 Jan 2019 |