Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101390
Title: Tumor stabilization induced by T-cell recruitment fluctuations
Authors: Bashkirtseva, I.
Ryashko, L.
López, Á. G.
Seoane, J. M.
Sanjuán, M. A. F.
Issue Date: 2020
Publisher: World Scientific
Citation: Tumor stabilization induced by T-cell recruitment fluctuations / I. Bashkirtseva, L. Ryashko, Á. G. López, et al. — DOI 10.1142/S0218127420501795 // International Journal of Bifurcation and Chaos. — 2020. — Vol. 30. — Iss. 12. — 2050179.
Abstract: The influence of random fluctuations on the recruitment of effector cells towards a tumor is studied by means of a stochastic mathematical model. Aggressively growing tumors are confronted against varying intensities of the cell-mediated immune response for which chaotic and periodic oscillations coexist together with stable tumor dynamics. A thorough parametric analysis of the noise-induced transition from this oscillatory regime to complete tumor dominance is carried out. A hysteresis phenomenon is uncovered, which stabilizes the tumor at its carrying capacity and drives the healthy and the immune cell populations to their extinction. Furthermore, it is shown that near a crisis bifurcation, such transitions occur under weak noise intensities. Finally, the corresponding noise-induced chaos-order transformation is analyzed and discussed in detail. © World Scientific Publishing Company
Keywords: BIFURCATION ANALYSIS
CANCER DYNAMICS
FLUCTUATIONS
MATHEMATICAL MODELING
NONLINEAR SYSTEMS
CELL CULTURE
CELL PROLIFERATION
STOCHASTIC MODELS
STOCHASTIC SYSTEMS
T-CELLS
CELL-MEDIATED IMMUNE
HYSTERESIS PHENOMENON
NOISE-INDUCED CHAOS
NOISE-INDUCED TRANSITION
ORDER TRANSFORMATION
PARAMETRIC -ANALYSIS
PERIODIC OSCILLATION
STOCHASTIC MATHEMATICAL MODELS
TUMORS
URI: http://hdl.handle.net/10995/101390
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85092629407
PURE ID: 14155022
f8b048ec-64af-454a-806f-3f99820fe732
ISSN: 2181274
DOI: 10.1142/S0218127420501795
metadata.dc.description.sponsorship: The work of Á. G. López, J. M. Seoane, M. A. F. Sanjuán on the study of deterministic dynamics was supported by the Spanish Ministry of Economy and Competitiveness and by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF) under Project No. FIS2016-76883-P. The work of I. Bashkirtseva and L. Ryashko on the study of stochastic dynamics was supported by the Russian Science Foundation (project 16-11-10098).
RSCF project card: 16-11-10098
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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