Zobrazeno 1 - 10
of 821
pro vyhledávání: '"Berlyand, A."'
The simplest model of contraction-driven self-propulsion of keratocytes reduces to a one dimensional Keller-Segel system with free boundaries. This "active" model involving both dissipation and anti-dissipation features stationary and traveling wave
Externí odkaz:
http://arxiv.org/abs/2410.21196
Suspension of particles in a fluid solvent are ubiquitous in nature, for example, water mixed with sugar or bacteria self-propelling through mucus. Particles create local flow perturbations that can modify drastically the effective (homogenized) bulk
Externí odkaz:
http://arxiv.org/abs/2410.11749
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 free boundary problem possesses flat front traveling wave solutions. Li
Externí odkaz:
http://arxiv.org/abs/2311.03102
We explore the applications of random matrix theory (RMT) in the training of deep neural networks (DNNs), focusing on layer pruning that is reducing the number of DNN parameters (weights). Our numerical results show that this pruning leads to a drast
Externí odkaz:
http://arxiv.org/abs/2310.03165
We analyze a nonlinear PDE system describing the motion of a microswimmer in a nematic liquid crystal environment. For the microswimmer's motility, the squirmer model is used in which self-propulsion enters the model through the slip velocity on the
Externí odkaz:
http://arxiv.org/abs/2206.06415
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2024 538(1)
Autor:
Lee, Andy Hung-Yi, Lowe, Patrick P., Hayes, Jane M., Copenhaver, Martin S., Cash, Rebecca E., Aristizabal, Maria, Berlyand, Yosef, Baugh, Joshua J., Nentwich, Lauren M., Macias-Konstantopoulos, Wendy L., Raja, Ali S., Sonis, Jonathan D.
Publikováno v:
In American Journal of Emergency Medicine July 2024 81:111-115
We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine learning archi
Externí odkaz:
http://arxiv.org/abs/2106.02676
Autor:
Rybalko, Volodymyr, Berlyand, Leonid
We introduce a two-dimensional Hele-Shaw type free boundary model for motility of eukaryotic cells on substrates. The key ingredients of this model are the Darcy law for overdamped motion of the cytoskeleton gel (active gel) coupled with advection-di
Externí odkaz:
http://arxiv.org/abs/2104.00491
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 combining a 2D Keller-Segel model and a Hele-Shaw type boundary condition wit
Externí odkaz:
http://arxiv.org/abs/2103.15988