4 papers
Localized spatiotemporal reaction-diffusion patterns on a line and a disk arising from a subcritical finite wavenumber Hopf instability
Edgar Knobloch, Saar O. Modai, Hannes Uecker +1
Spatiotemporal localized and extended structures associated with a subcritical finite wavenumber Hopf bifurcation are studied in the Purwins model (a three-variable FitzHugh-Nagumo…
Nonuniform relaxation oscillations near SNIPER bifurcations
Edgar Knobloch, Arik Yochelis
Properties of spatially dependent relaxation oscillations near a SNIPER bifurcation are described. A SNIPER bifurcation creates a large-amplitude long-period periodic orbit via the…
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…
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…