9 citations · 9 across the 4 of their papers we have counts for
5 papers
Tipping the Balance: Allee Thresholds, Saddle-Node Bifurcations, and Optimal Sterile-Male Release Strategies for Anopheles Mosquitoes
Abba Gumel, C. Alex Safsten
We formulate and analyze a sex- and stage-structured model for Anopheles dynamics under the sterile insect technique (SIT), motivated by the need for tools robust to insecticide re…
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 of Contraction-Driven Cell Motion
C. Alex Safsten, Volodymyr Rybalko, Leonid Berlyand
We consider motility of keratocyte cells driven by myosin contraction and introduce a 2D free boundary model for such motion. This model generalizes a 1D model from [12] by combini…
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…