An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction. (November 2019)

• Record Type: Journal Article
• Authors: Das, Parthasakha; Mukherjee, Sayan; Das, Pritha
• Is Part Of: Chaos, solitons and fractals. Volume 128(2019)
• Page Start: 297
• Page End: 305
• Publication Date: 2019-11
• Subjects: Bifurcation -- 0−1 Test -- Phase-space -- Local maxima -- Poincare' Plot; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.08.006
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We introduced a Michelis-Menten kinetics on tumor immune interactions. Stability and chaos both are investigated within biological meaningful regions. A correlated dynamics using local maxima of tumor growth is proposed which indicates applicability of our analysis. Abstract: We investigate the dynamics of a three-dimensional tumor-immune interactions system. Local dynamics of the system has studied by the finding stability and Hopf bifurcation at biologically feasible equilibria. Further, chaotic phenomena have been investigated by measuring the asymptotic growth of the corresponding phase space trajectory with the various bifurcating parameters of the system. A dynamics of mean fluctuations of the tumor growth based on its local maxima have investigated under the same parameters. A significant correlation between the fluctuations and the tumor dynamics have verified by statistical analysis.