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 language | English |
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Title of host publication | Trends in Mathematics |
Pages | 81-85 |
Number of pages | 4 |
Volume | 11 |
ISBN (Electronic) | 2297-024X |
DOIs | |
Publication status | Published - 1 Jan 2019 |