9 citations · 9 across the 4 of their papers we have counts for
3 papers · 1 filter
Nonlinear stability in a free boundary model of active locomotion
Leonid Berlyand, C. Alex Safsten, Lev Truskinovsky
Contraction-driven self-propulsion of a large class of living cells can be modeled by a Keller-Segel system with free boundaries. The ensuing "active" system, exhibiting both dissi…
Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading
Leonid Berlyand, Antonina Rybalko, Volodymyr Rybalko +1
We consider a continuum active polar fluid model for the spreading of epithelial monolayers introduced by R. Alert, C. Blanch-Mercader, and J. Casademunt, 2019. The corresponding f…
Stability for the Training of Deep Neural Networks and Other Classifiers
Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten
We examine the stability of loss-minimizing training processes that are used for deep neural networks (DNN) and other classifiers. While a classifier is optimized during training t…