63 citations · 152 across the 6 of their papers we have counts for
6 papers
Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts
David J. Jörg, Luis G. Morelli, Saúl Ares +1
In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to differen…
Chemical event chain model of coupled genetic oscillators
David J. Jörg, Luis G. Morelli, Frank Jülicher
We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson…
Amplitude bounds for biochemical oscillators
David J. Jörg
We present a practical method to obtain bounds for the oscillation minima and maxima of large classes of biochemical oscillator models that generate oscillations through a negative…
Stochastic Kuramoto oscillators with discrete phase states
David J Jörg
We present a generalization of the Kuramoto phase oscillator model in which phases advance in discrete phase increments through Poisson processes, rendering both intrinsic oscillat…
Sequential pattern formation governed by signaling gradients
David J. Jörg, Andrew C. Oates, Frank Jülicher
Rhythmic and sequential segmentation of the embryonic body plan is a vital developmental patterning process in all vertebrate species. However, a theoretical framework capturing th…
Collective modes of coupled phase oscillators with delayed coupling
Saul Ares, Luis G. Morelli, David J. Jorg +2
We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillato…