A Mathematical Model of Cancer Evolution

David Moreno Martos; Andrei Korobeinikov

doi:10.1007/978-3-030-25261-8_12

A Mathematical Model of Cancer Evolution

David Moreno Martos, Andrei Korobeinikov

Research output: Chapter in Book › Chapter › Research › peer-review

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
Title of host publication	Trends in Mathematics
Pages	81-85
Number of pages	4
Volume	11
ISBN (Electronic)	2297-024X
DOIs	https://doi.org/10.1007/978-3-030-25261-8_12
Publication status	Published - 1 Jan 2019

UN SDGs

This output contributes to the following Sustainable Development Goal(s)

Access to Document

10.1007/978-3-030-25261-8_12

Fingerprint Dive into the research topics of 'A Mathematical Model of Cancer Evolution'. Together they form a unique fingerprint.

Cite this

@inbook{dc8f8fa4b21b4df4958a54814cfd1dd6,

title = "A Mathematical Model of Cancer Evolution",

abstract = "{\textcopyright} 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.",

author = "Martos, {David Moreno} and Andrei Korobeinikov",

year = "2019",

month = jan,

day = "1",

doi = "10.1007/978-3-030-25261-8_12",

language = "English",

isbn = "2297-0215",

volume = "11",

pages = "81--85",

booktitle = "Trends in Mathematics",

}

TY - CHAP

T1 - A Mathematical Model of Cancer Evolution

AU - Martos, David Moreno

AU - Korobeinikov, Andrei

PY - 2019/1/1

Y1 - 2019/1/1

N2 - © 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.

AB - © 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.

U2 - 10.1007/978-3-030-25261-8_12

DO - 10.1007/978-3-030-25261-8_12

M3 - Chapter

SN - 2297-0215

VL - 11

SP - 81

EP - 85

BT - Trends in Mathematics

ER -