96 citations · 244 across the 21 of their papers we have counts for
5 papers · 1 filter
Modeling stripe formation on growing zebrafish tailfins
Alexandria Volkening, Madeline R Abbott, Dorothy Catey +4
As zebrafish develop, black and gold stripes form across their skin due to the interactions of brightly colored pigment cells. These characteristic patterns emerge on the growing f…
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems
Ross Parker, P. G. Kevrekidis, Björn Sandstede
In the present work, we consider the existence and spectral stability of multi-pulse solutions in Hamiltonian lattice systems. We provide a general framework for the study of such…
Topological data analysis of zebrafish patterns
Melissa R. McGuirl, Alexandria Volkening, Björn Sandstede
Self-organized pattern behavior is ubiquitous throughout nature, from fish schooling to collective cell dynamics during organism development. Qualitatively these patterns display i…
A reformulated Krein matrix for star-even polynomial operators with applications
Todd Kapitula, Ross Parker, Björn Sandstede
In its original formulation the Krein matrix was used to locate the spectrum of first-order star-even polynomial operators where both operator coefficients are nonsingular. Such op…
Determining the source of period-doubling instabilities in spiral waves
Stephanie Dodson, Bjorn Sandstede
Spiral wave patterns observed in models of cardiac arrhythmias and chemical oscillations develop alternans and stationary line defects, which can both be thought of as period-doubl…