178 citations · 479 across the 8 of their papers we have counts for
8 papers
Embryonic lateral inhibition as optical modes: an analytical framework for mesoscopic pattern formation
Jose Negrete, Andrew C. Oates
Cellular checkerboard patterns are observed at many developmental stages of embryos. We study an analytically tractable model for lateral inhibition and show that a coupling coeffi…
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…
Nonlinearity arising from noncooperative transcription factor binding enhances negative feedback and promotes genetic oscillations
Iván M. Lengyel, Daniele Soroldoni, Andrew C. Oates +1
We study the effects of multiple binding sites in the promoter of a genetic oscillator. We evaluate the regulatory function of a promoter with multiple binding sites in the absence…
Synchronization in the presence of distributed delays
Lucas Wetzel, Luis G. Morelli, Andrew C. Oates +2
We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stabil…
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…
Optimal cellular mobility for synchronization arising from the gradual recovery of intercellular interactions
Koichiro Uriu, Saul Ares, Andrew C. Oates +1
Cell movement and intercellular signaling occur simultaneously during the development of tissues, but little is known about how movement affects signaling. Previous theoretical stu…