© 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.
|Title of host publication||Trends in Mathematics|
|Number of pages||4|
|Publication status||Published - 1 Jan 2019|