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Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model. / Kogai, Vladislav V.; Likhoshvai, Vitaly A.; Fadeev, Stanislav I. et al.

In: International Journal of Bifurcation and Chaos, Vol. 27, No. 2, 1730006, 01.02.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Kogai, VV, Likhoshvai, VA, Fadeev, SI & Khlebodarova, TM 2017, 'Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model', International Journal of Bifurcation and Chaos, vol. 27, no. 2, 1730006. https://doi.org/10.1142/S0218127417300063

APA

Kogai, V. V., Likhoshvai, V. A., Fadeev, S. I., & Khlebodarova, T. M. (2017). Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model. International Journal of Bifurcation and Chaos, 27(2), [1730006]. https://doi.org/10.1142/S0218127417300063

Vancouver

Kogai VV, Likhoshvai VA, Fadeev SI, Khlebodarova TM. Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model. International Journal of Bifurcation and Chaos. 2017 Feb 1;27(2):1730006. doi: 10.1142/S0218127417300063

Author

Kogai, Vladislav V. ; Likhoshvai, Vitaly A. ; Fadeev, Stanislav I. et al. / Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model. In: International Journal of Bifurcation and Chaos. 2017 ; Vol. 27, No. 2.

BibTeX

@article{0da3fdeafad54aa0aa57844496cd161d,
title = "Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model",
abstract = "We have investigated the scenarios of transition to chaos in the mathematical model of a genetic system constituted by a single transcription factor-encoding gene, the expression of which is self-regulated by a feedback loop that involves protein isoforms. Alternative splicing results in the synthesis of protein isoforms providing opposite regulatory outcomes-activation or repression. The model is represented by a differential equation with two delayed arguments. The possibility of transition to chaos dynamics via all classical scenarios: a cascade of period-doubling bifurcations, quasiperiodicity and type-I, type-II and type-III intermittencies, has been numerically demonstrated. The parametric features of each type of transition to chaos have been described.",
keywords = "alternative splicing, deterministic chaos, Feigenbaum's intermittency and quasiperiodicity route to chaos, gene networks, Modeling, QUASI-PERIODIC ROUTE, TRANSCRIPTION FACTORS, COMPLEX DYNAMICS, CIRCADIAN-RHYTHMS, BEHAVIOR, DETERMINISTIC CHAOS, III INTERMITTENCY, MATHEMATICAL-MODEL, GENE-EXPRESSION, OSCILLATIONS",
author = "Kogai, {Vladislav V.} and Likhoshvai, {Vitaly A.} and Fadeev, {Stanislav I.} and Khlebodarova, {Tamara M.}",
year = "2017",
month = feb,
day = "1",
doi = "10.1142/S0218127417300063",
language = "English",
volume = "27",
journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",

}

RIS

TY - JOUR

T1 - Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model

AU - Kogai, Vladislav V.

AU - Likhoshvai, Vitaly A.

AU - Fadeev, Stanislav I.

AU - Khlebodarova, Tamara M.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We have investigated the scenarios of transition to chaos in the mathematical model of a genetic system constituted by a single transcription factor-encoding gene, the expression of which is self-regulated by a feedback loop that involves protein isoforms. Alternative splicing results in the synthesis of protein isoforms providing opposite regulatory outcomes-activation or repression. The model is represented by a differential equation with two delayed arguments. The possibility of transition to chaos dynamics via all classical scenarios: a cascade of period-doubling bifurcations, quasiperiodicity and type-I, type-II and type-III intermittencies, has been numerically demonstrated. The parametric features of each type of transition to chaos have been described.

AB - We have investigated the scenarios of transition to chaos in the mathematical model of a genetic system constituted by a single transcription factor-encoding gene, the expression of which is self-regulated by a feedback loop that involves protein isoforms. Alternative splicing results in the synthesis of protein isoforms providing opposite regulatory outcomes-activation or repression. The model is represented by a differential equation with two delayed arguments. The possibility of transition to chaos dynamics via all classical scenarios: a cascade of period-doubling bifurcations, quasiperiodicity and type-I, type-II and type-III intermittencies, has been numerically demonstrated. The parametric features of each type of transition to chaos have been described.

KW - alternative splicing

KW - deterministic chaos

KW - Feigenbaum's intermittency and quasiperiodicity route to chaos

KW - gene networks

KW - Modeling

KW - QUASI-PERIODIC ROUTE

KW - TRANSCRIPTION FACTORS

KW - COMPLEX DYNAMICS

KW - CIRCADIAN-RHYTHMS

KW - BEHAVIOR

KW - DETERMINISTIC CHAOS

KW - III INTERMITTENCY

KW - MATHEMATICAL-MODEL

KW - GENE-EXPRESSION

KW - OSCILLATIONS

UR - http://www.scopus.com/inward/record.url?scp=85016043517&partnerID=8YFLogxK

U2 - 10.1142/S0218127417300063

DO - 10.1142/S0218127417300063

M3 - Article

AN - SCOPUS:85016043517

VL - 27

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 2

M1 - 1730006

ER -

ID: 10270590