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

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337 McAllister
University Park, PA - lvb2@psu.edu
- 814-863-9683
Huck Affiliations
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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 NetworksMost 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