18 citations · 37 across the 4 of their papers we have counts for
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physics.bio-ph2020★ 4 cited
Emergence of multistability and strongly asymmetric collective modes in two quorum sensing coupled identical ring oscillators
Edward H. Hellen, Evgeny Volkov
The simplest ring oscillator is made from three strongly nonlinear elements repressing each other unidirectionally resulting in the emergence of a limit cycle. A popular implementa…
physics.bio-ph2017★ 18 cited
How to couple identical ring oscillators to get Quasiperiodicity, extended Chaos, Multistability and the loss of Symmetry
Edward H. Hellen, Evgeny Volkov
We study the dynamical regimes demonstrated by a pair of identical 3-element ring oscillators (reduced version of synthetic 3-gene genetic Repressilator) coupled using the design o…
physics.bio-ph2016★ 15 cited
Flexible Dynamics of Two Quorum Sensing Coupled Repressilators
Edward H. Hellen, Evgeny Volkov
Genetic oscillators play important roles in cell life regulation. The regulatory efficiency usually depends strongly on the emergence of stable collective dynamic modes, which requ…