Antimonotonicity, Crisis, and Route to Chaos in a Tumor Growth Model

Author:

Sourailidis Dionysios1,Volos Christos2,Moysis Lazaros1,Stouboulos Ioannis1

Affiliation:

1. Laboratory of Nonlinear Systems – Circuits and Complexity, Physics Department, Aristotle University of Thessaloniki, Greece

2. Laboratory of Nonlinear Systems – Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Greece

Abstract

In this chapter, a new model of a tumor growth is dynamically investigated. The model is presented in a form of a system of three ordinary differential equations, which describe the avascular, vascular, and metastasis tumor growth, respectively. For the investigation of system's dynamics and especially of the population of the immune cells in system's behavior, some of the most well-known tools from nonlinear theory, such as the phase portrait, the Poincaré map, the bifurcation diagram the Kaplan-Yorke dimension, and the Lyapunov exponents have been used. Interesting phenomena related with chaos theory, such as a period-doubling route to chaos, crisis phenomena, and antimonotonicity, have been revealed for the first time in this model.

Publisher

IGI Global

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Fractional Order Tumor Growth Model and Its Synchronization;2023 12th International Conference on Modern Circuits and Systems Technologies (MOCAST);2023-06-28

2. Effect of propagation noise on the network dynamics of a flux coupled conductance-based neuron model;The European Physical Journal Plus;2022-11-09

3. Nonlinear Phenomena and Chaos in a Tumor Growth Model;NODYCON Conference Proceedings Series;2021-07-05

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