Leonid Berlyand

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

Leonid Berlyand

Huck Affiliations

Publication Tags

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Bacteria Kinetics Viscosity Boundary Conditions Trajectories Fluids Liquid Crystals Approximation Suspensions Model Interactions Motion Shear Flow Contraction Inertia Suspension Cells Control Surfaces Cell Motility Defects Cell Particle Swimming Myosin Neural Networks

Most Recent Publications

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

Mathematics of deep learning: An introduction

Leonid Berlyand, Pierre Emmanuel Jabin, 2023,

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

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

Self-Propulsion and Shear Flow Align Active Particles in Nozzles and Channels

Leonardo Dominguez Rubio, Igor Aronson, Mykhailo Potomkin, Leonardo Dominguez Rubio, Mikhailo Potomkin, Remmi Baker, Remmi Baker, Ayusman Sen, Ayusman Sen, Leonid Berlyand, I Aronson, Leonid Berlyand, 2020, Advanced intelligent systems on p. 2000178

Continuum Approximations to Systems of Correlated Interacting Particles

Leonid Berlyand, Robert Creese, Pierre Emmanuel Jabin, Mykhailo Potomkin, 2019, Journal of Statistical Physics on p. 808-829

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

Correlation properties of collective motion in bacterial suspensions

Shawn D. Ryan, Andrey Sokolov, Leonid Berlyand, Igor S. Aranson, 2013, New Journal of Physics

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

A kinetic model for semidilute bacterial suspensions

S. D. Ryan, L. Berlyand, Brian M. Haines, D. A. Karpeev, 2013, Multiscale Modeling and Simulation on p. 1176-1196

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

Vortex phase separation in mesoscopic superconductors

O. Iaroshenko, V. Rybalko, V. M. Vinokur, L. Berlyand, 2013, Scientific Reports

Collision of microswimmers in a viscous fluid

M. Potomkin, V. Gyrya, I. Aranson, L. Berlyand, 2013, Physical Review E

Effective viscosity of puller-like microswimmers: A renormalization approach

Simon Gluzman, Dmitry A. Karpeev, Leonid V. Berlyand, 2013, Journal of the Royal Society Interface

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