Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition

✍ Scribed by N. Bellomo; B. Firmani; L. Guerri

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 481 KB
• Volume: 12
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(98)00146-3

✦ Synopsis

A bifurcation analysis is developed for the initial value problem for a nonlinear system of integro-differential equations modelling the competition between tumor cells and immune system. It is shown that there exists a critical value of a bifurcation parameter separating situations where the immune system controls the neoplastic growth from those where tumor growth is not contrasted. This result refers to conjecture that the action of cytokine signals can modify the outputs of the competition. (~) 1998 Elsevier Science Ltd. All rights reserved.