[图书][B] Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations
M Golubitsky, I Stewart - 2023 - SIAM
The biologist JBS Haldane, when asked what we can learn about the Creator by examining
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
Combining a toggle switch and a repressilator within the AC-DC circuit generates distinct dynamical behaviors
Although the structure of a genetically encoded regulatory circuit is an important determinant
of its function, the relationship between circuit topology and the dynamical behaviors it can …
of its function, the relationship between circuit topology and the dynamical behaviors it can …
Dynamical properties of the repressilator model
O Buse, R Pérez, A Kuznetsov - Physical Review E—Statistical, Nonlinear, and …, 2010 - APS
Oscillatory regulatory networks have been discovered in many regulatory pathways. Due to
their enormous complexity, it is necessary to study their dynamics by means of highly …
their enormous complexity, it is necessary to study their dynamics by means of highly …
Biophysical clocks face a trade-off between internal and external noise resistance
Many organisms use free running circadian clocks to anticipate the day night cycle.
However, others organisms use simple stimulus-response strategies ('hourglass clocks') and …
However, others organisms use simple stimulus-response strategies ('hourglass clocks') and …
Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators
N Stankevich, E Volkov - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
We investigate the dynamics of three identical three-dimensional ring synthetic genetic
oscillators (repressilators) located in different cells and indirectly globally coupled by …
oscillators (repressilators) located in different cells and indirectly globally coupled by …
Stability and bifurcation analysis of new coupled repressilators in genetic regulatory networks with delays
G Ling, ZH Guan, DX He, RQ Liao, XH Zhang - Neural Networks, 2014 - Elsevier
The genetic regulatory networks are complex dynamic systems which reflect various kinetic
behaviors of living things. In this paper, a new structure of coupled repressilators is …
behaviors of living things. In this paper, a new structure of coupled repressilators is …
Multistability and bifurcation analysis of inhibitory coupled cyclic genetic regulatory networks with delays
G Ling, ZH Guan, B Hu, Q Lai… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
Many biological systems have the conspicuous property to present more than one stable
state and diverse rhythmic behaviors. A closed relationship between these complex dynamic …
state and diverse rhythmic behaviors. A closed relationship between these complex dynamic …
Периодические решения типа бегущих волн в кольцевых генных сетях
АЮ Колесов, НХ Розов, ВА Садовничий - … Российской академии наук …, 2016 - mathnet.ru
Рассматриваются кольцевые цепочки однонаправленно связанных обыкновенных
дифференциальных уравнений, являющиеся математическими моделями …
дифференциальных уравнений, являющиеся математическими моделями …
Periodic solutions of travelling-wave type in circular gene networks
AY Kolesov, NK Rozov, VA Sadovnichii - Izvestiya: Mathematics, 2016 - iopscience.iop.org
We consider circular chains of unidirectionally coupled ordinary differential equations which
are mathematical models of artificial gene networks. We study the problems of the existence …
are mathematical models of artificial gene networks. We study the problems of the existence …
Degradation rate uniformity determines success of oscillations in repressive feedback regulatory networks
KM Page, R Perez-Carrasco - Journal of the Royal …, 2018 - royalsocietypublishing.org
Ring oscillators are biochemical circuits consisting of a ring of interactions capable of
sustained oscillations. The nonlinear interactions between genes hinder the analytical …
sustained oscillations. The nonlinear interactions between genes hinder the analytical …