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An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction

Publication ,  Journal Article
Das, P; Mukherjee, S
Published in: Chaos, Solitons and Fractals
November 1, 2019

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.

Duke Scholars

Published In

Chaos, Solitons and Fractals

DOI

ISSN

0960-0779

Publication Date

November 1, 2019

Volume

128

Start / End Page

297 / 305

Related Subject Headings

  • Mathematical Physics
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences
 

Citation

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Das, P., & Mukherjee, S. (2019). An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction. Chaos, Solitons and Fractals, 128, 297–305. https://doi.org/10.1016/j.chaos.2019.08.006
Das, P., and S. Mukherjee. “An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction.” Chaos, Solitons and Fractals 128 (November 1, 2019): 297–305. https://doi.org/10.1016/j.chaos.2019.08.006.
Das P, Mukherjee S. An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction. Chaos, Solitons and Fractals. 2019 Nov 1;128:297–305.
Das, P., and S. Mukherjee. “An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction.” Chaos, Solitons and Fractals, vol. 128, Nov. 2019, pp. 297–305. Scopus, doi:10.1016/j.chaos.2019.08.006.
Das P, Mukherjee S. An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction. Chaos, Solitons and Fractals. 2019 Nov 1;128:297–305.
Journal cover image

Published In

Chaos, Solitons and Fractals

DOI

ISSN

0960-0779

Publication Date

November 1, 2019

Volume

128

Start / End Page

297 / 305

Related Subject Headings

  • Mathematical Physics
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences