Leonid Berlyand
Co-Director of the Center for Mathematics of Living and Mimetic Matter; Professor of Mathematics
-
337 McAllister
University Park, PA - lvb2@psu.edu
- 814-863-9683
Huck Affiliations
Most Recent Publications
Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading
Leonid Berlyand, Antonina Rybalko, Volodymyr Rybalko, Clarke Alex Safsten, 2024, Journal of Mathematical Analysis and Applications
A novel multi-scale loss function for classification problems in machine learning
Leonid Berlyand, Robert Creese, Pierre Emmanuel Jabin, 2024, Journal of Computational Physics
EMERGENCE OF TRAVELING WAVES AND THEIR STABILITY IN A FREE BOUNDARY MODEL OF CELL MOTILITY
Volodymyr Rybalko, Leonid Berlyand, 2023, Transactions of the American Mathematical Society on p. 1799-1844
Dynamics and steady state of squirmer motion in liquid crystal
Leonid Berlyand, Hai Chi, Mykhailo Potomkin, Nung Kwan Yip, 2023, European Journal of Applied Mathematics
Mathematics of deep learning: An introduction
Pierre-Emmanuel Jabin, Leonid Berlyand, Leonid Berlyand, 2023,
Asymptotic stability of contraction-driven cell motion
C. Alex Safsten, Volodmyr Rybalko, Leonid Berlyand, 2022, Physical Review E
Interaction of microswimmers in viscoelastic liquid crystals
Hai Chi, Alexander Gavrikov, Leonid Berlyand, Igor S. Aranson, 2022, Communications Physics
Stability for the training of deep neural networks and other classifiers
Leonid Berlyand, Pierre Emmanuel Jabin, C. Alex Safsten, 2021, Mathematical Models and Methods in Applied Sciences on p. 2345-2390
Surface anchoring controls orientation of a microswimmer in nematic liquid crystal
Hai Chi, Mykhailo Potomkin, Lei Zhang, Leonid Berlyand, Igor S. Aranson, 2020, Communications Physics on p. 9
A kinetic approach to active rods dynamics in confined domains
Leonid Berlyand, Pierre Emmanuel Jabin, Mykhailo Potomkin, Elżbieta Ratajczyk, 2020, Multiscale Modeling and Simulation on p. 1-20
Most-Cited Papers
Flexibility of bacterial flagella in external shear results in complex swimming trajectories
M. Tournus, A. Kirshtein, L. V. Berlyand, I. S. Aranson, 2015, Journal of the Royal Society Interface on p. 20140904
Surface anchoring controls orientation of a microswimmer in nematic liquid crystal
Hai Chi, Mykhailo Potomkin, Lei Zhang, Leonid Berlyand, Igor S. Aranson, 2020, Communications Physics on p. 9
On an evolution equation in a cell motility model
Matthew S. Mizuhara, Leonid Berlyand, Volodymyr Rybalko, Lei Zhang, 2016, Physica D: Nonlinear Phenomena on p. 12-25
Rayleigh approximation to ground state of the Bose and Coulomb glasses
S. D. Ryan, V. Mityushev, V. M. Vinokur, L. Berlyand, 2015, Scientific Reports
Focusing of active particles in a converging flow
Mykhailo Potomkin, Andreas Kaiser, Leonid Berlyand, Igor Aranson, 2017, New Journal of Physics
Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility
Leonid Berlyand, Jan Fuhrmann, Volodymyr Rybalko, 2018, Communications in Mathematical Sciences on p. 735-762
Flagella bending affects macroscopic properties of bacterial suspensions
M. Potomkin, M. Tournus, L. V. Berlyand, I. S. Aranson, 2017, Journal of the Royal Society Interface
Phase-field model of cell motility: Traveling waves and sharp interface limit
Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko, 2016, Comptes Rendus Mathematique on p. 986-992
Sharp interface limit in a phase field model of cell motility
Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko, 2017, Networks and Heterogeneous Media on p. 551-590
Interaction of microswimmers in viscoelastic liquid crystals
Hai Chi, Alexander Gavrikov, Leonid Berlyand, Igor S. Aranson, 2022, Communications Physics