96 citations · 244 across the 21 of their papers we have counts for
6 papers · 1 filter
Quantifying different modeling frameworks using topological data analysis: a case study with zebrafish patterns
Electa Cleveland, Angela Zhu, Bjorn Sandstede +1
Mathematical models come in many forms across biological applications. In the case of complex, spatial dynamics and pattern formation, stochastic models also face two main challeng…
Topological Data Analysis of Spatial Patterning in Heterogeneous Cell Populations: Clustering and Sorting with Varying Cell-Cell Adhesion
Dhananjay Bhaskar, William Y. Zhang, Alexandria Volkening +2
Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength…
The Drift of #MyBodyMyChoice Discourse on Twitter
Cristina Menghini, Justin Uhr, Shahrzad Haddadan +3
#MyBodyMyChoice is a well-known hashtag originally created to advocate for women's rights, often used in discourse about abortion and bodily autonomy. The Covid-19 outbreak prompte…
Localized patterns in planar bistable weakly coupled lattice systems
Jason J. Bramburger, Bjorn Sandstede
Localized planar patterns in spatially extended bistable systems are known to exist along intricate bifurcation diagrams, which are commonly referred to as snaking curves. Their an…
Spatially Localized Structures in Lattice Dynamical Systems
Jason J. Bramburger, Bjorn Sandstede
We investigate stationary, spatially localized patterns in lattice dynamical systems that exhibit bistability. The profiles associated with these patterns have a long plateau where…
Localized radial roll patterns in higher space dimensions
Jason J. Bramburger, Dylan Altschuler, Chloe I. Avery +4
Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the len…