Research output: Contribution to journal › Article › peer-review
Chaos and hyperchaos in simple gene network with negative feedback and time delays. / Khlebodarova, Tamara M.; Kogai, Vladislav V.; Fadeev, Stanislav I. et al.
In: Journal of Bioinformatics and Computational Biology, Vol. 15, No. 2, 1650042, 01.04.2017, p. 1650042.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Chaos and hyperchaos in simple gene network with negative feedback and time delays
AU - Khlebodarova, Tamara M.
AU - Kogai, Vladislav V.
AU - Fadeev, Stanislav I.
AU - Likhoshvai, Vitaly A.
PY - 2017/4/1
Y1 - 2017/4/1
N2 - Today there are examples that prove the existence of chaotic dynamics at all levels of organization of living systems, except intracellular, although such a possibility has been theoretically predicted. The lack of experimental evidence of chaos generation at the intracellular level in vivo may indicate that during evolution the cell got rid of chaos. This work allows the hypothesis that one of the possible mechanisms for avoiding chaos in gene networks can be a negative evolutionary selection, which prevents fixation or realization of regulatory circuits, creating too mild, from the biological point of view, conditions for the emergence of chaos. It has been shown that one of such circuits may be a combination of negative autoregulation of expression of transcription factors at the level of their synthesis and degradation. The presence of such a circuit results in formation of multiple branches of chaotic solutions as well as formation of hyperchaos with equal and sufficiently low values of the delayed argument that can be implemented not only in eukaryotic, but in prokaryotic cells.
AB - Today there are examples that prove the existence of chaotic dynamics at all levels of organization of living systems, except intracellular, although such a possibility has been theoretically predicted. The lack of experimental evidence of chaos generation at the intracellular level in vivo may indicate that during evolution the cell got rid of chaos. This work allows the hypothesis that one of the possible mechanisms for avoiding chaos in gene networks can be a negative evolutionary selection, which prevents fixation or realization of regulatory circuits, creating too mild, from the biological point of view, conditions for the emergence of chaos. It has been shown that one of such circuits may be a combination of negative autoregulation of expression of transcription factors at the level of their synthesis and degradation. The presence of such a circuit results in formation of multiple branches of chaotic solutions as well as formation of hyperchaos with equal and sufficiently low values of the delayed argument that can be implemented not only in eukaryotic, but in prokaryotic cells.
KW - deterministic chaos
KW - feedback regulation
KW - gene networks
KW - Modeling
KW - Feedback, Physiological
KW - Time Factors
KW - Models, Genetic
KW - Gene Regulatory Networks
KW - CIRCADIAN-RHYTHMS
KW - ESCHERICHIA-COLI
KW - TRANSCRIPTION
KW - H-NS
KW - AUTOREGULATION
KW - MATHEMATICAL-MODEL
KW - DYNAMICS
KW - NANOG AUTOREPRESSION
KW - OSCILLATIONS
KW - EXPRESSION
UR - http://www.scopus.com/inward/record.url?scp=85008397781&partnerID=8YFLogxK
U2 - 10.1142/S0219720016500426
DO - 10.1142/S0219720016500426
M3 - Article
C2 - 28052708
AN - SCOPUS:85008397781
VL - 15
SP - 1650042
JO - Journal of Bioinformatics and Computational Biology
JF - Journal of Bioinformatics and Computational Biology
SN - 0219-7200
IS - 2
M1 - 1650042
ER -
ID: 10036042