3 citations · 6 across the 4 of their papers we have counts for
3 papers · 1 filter
Stability of localized solutions to lattice dynamical systems
Bocheng Ruan, Jack M. Hughes, Jason J. Bramburger
Localized patterns are spatially confined structures that arise in lattice dynamical systems and play an important role in physics, biology, and materials science. While their exis…
A mass conserved reaction-diffusion system reveals switching between coexisting polar and oscillatory cell motility states
Jack M. Hughes, Cristina Martinez-Torres, Carsten Beta +2
Motile eukaryotic cells display distinct modes of migration that often occur within the same cell type. It remains unclear, however, whether transitions between the migratory modes…
Bistability of travelling waves and wave-pinning states in a mass-conserved reaction-diffusion system: From bifurcations to implications for actin waves
Jack M. Hughes, Saar Modai, Leah Edelstein-Keshet +1
Eukaryotic cells demonstrate a wide variety of dynamic patterns of filamentous actin (F-actin) and its regulators. Some of these patterns play important roles in cell functions, su…