Leonid Berlyand

Co-Director of the Center for Mathematics of Living and Mimetic Matter; Professor of Mathematics

Leonid Berlyand

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

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

Houman Owhadi, Lei Zhang, Leonid Berlyand, 2014, Mathematical Modelling and Numerical Analysis on p. 517-552

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

Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling

Leonid Berlyand, Petru Mironescu, Volodymyr Rybalko, Etienne Sandier, 2014, Communications in Partial Differential Equations on p. 946-1005

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

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