Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112172
Title: The Role of Noise in the Tumor Dynamics under Chemotherapy Treatment
Authors: Bashkirtseva, I.
Ryashko, L.
Duarte, J.
Seoane, J. M.
Sanjuan, M. A. F.
Issue Date: 2021
Publisher: Springer Science and Business Media Deutschland GmbH
Springer Science and Business Media LLC
Citation: The Role of Noise in the Tumor Dynamics under Chemotherapy Treatment / I. Bashkirtseva, L. Ryashko, J. Duarte et al. — DOI 10.1137/S0036142901387440 // European Physical Journal Plus. — 2021. — Vol. 136. — Iss. 11. — 1123.
Abstract: Dynamical systems modeling tumor growth have been investigated to analyze the dynamics between tumor and healthy cells. Recent theoretical studies indicate that these interactions may lead to different dynamical outcomes under the effect of particular cancer therapies. In the present paper, we derive a system of nonlinear differential equations, in order to investigate solid tumors in vivo, taking into account the impact of chemotherapy on both tumor and healthy cells. We start by studying our model only in terms of deterministic dynamics under the variation of a drug concentration parameter. Later, with the introduction of noise, a stochastic model is used to analyze the impact of the unavoidable random fluctuations. As a result, new insights into noise-induced transitions are provided and illustrated in detail using techniques from dynamical systems and from the theory of stochastic processes. © 2021, The Author(s).
URI: http://hdl.handle.net/10995/112172
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85118768054
PURE ID: 28948400
ISSN: 2190-5444
DOI: 10.1137/S0036142901387440
metadata.dc.description.sponsorship: The work of IB and LR on the analysis of noise-induced phenomena was supported by Russian Science Foundation (21-11-00062). The work on the deterministic analysis has been financially supported by the Portuguese Foundation for Science and Technology (FCT) under Project No. UID/MAT/04459/2013 (JD) and by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF, EU) under Project No. PID2019-105554GB-I00 (JMS and MAFS).
RSCF project card: 21-11-00062
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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