Leonid Berlyand

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

Leonid Berlyand

Huck Affiliations

Publication Tags

Bacteria Viscosity Hydrodynamics Approximation Cell Motility Model Swimming Boundary Conditions Cell Homogenization Substrate Interaction Hydrodynamic Interaction Propulsion Energy Vortex Flow Phase Field Model Continuums Locomotion Cells Shear Viscosity Trajectories Continuum Minimal Model Interactions

Most Recent Papers

Continuum Approximations to Systems of Correlated Interacting Particles

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

Continuum Approximations to Systems of Correlated Interacting Particles

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

On approximation of Ginzburg–Landau minimizers by S<sup>1</sup>-valued maps in domains with vanishingly small holes

Leonid V. Berlyand, Dmitry Golovaty, Oleksandr Iaroshenko, Volodymyr Rybalko, 2018, Journal of Differential Equations on p. 1317-1347

Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility

Leonid V. Berlyand, Jan Fuhrmann, Volodymyr Rybalko, 2018, Communications in Mathematical Sciences on p. 735-762

Convergence de classifieurs par réseaux de neurones formellement divergents

Leonid V. Berlyand, Pierre Emmanuel Jabin, 2018, Comptes Rendus Mathematique

Sharp interface limit in a phase field model of cell motility

Leonid V. Berlyand, Mykhailo Potomkin, Volodymyr Rybalko, 2017, Networks and Heterogeneous Media on p. 551-590

A two scale Γ -convergence approach for random non-convex homogenization

Leonid V. Berlyand, Etienne Sandier, Sylvia Serfaty, 2017, Calculus of Variations and Partial Differential Equations

Sharp interface limit in a phase field model of cell motility

Leonid V. Berlyand, Mykhailo Potomkin, Volodymyr Rybalko, 2017, Networks and Heterogeneous Media on p. 551-590

Minimal model of directed cell motility on patterned substrates

Matthew S. Mizuhara, Leonid V. Berlyand, Igor Aronson, 2017, Physical Review E

Minimal model of directed cell motility on patterned substrates

Matthew S. Mizuhara, Leonid V. Berlyand, Igor Aronson, 2017, Physical Review E

High-Impact Papers

Three-dimensional model for the effective viscosity of bacterial suspensions

Brian M. Haines, Andrey Sokolov, Igor Aronson, Leonid V. Berlyand, Dmitry A. Karpeev, 2009, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Viscosity of bacterial suspensions

Shawn D. Ryan, Brian M. Haines, Leonid V. Berlyand, Falko Ziebert, Igor Aronson, 2011, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast

Leonid V. Berlyand, Houman Owhadi, 2010, Archive for Rational Mechanics and Analysis on p. 677-721

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

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

A model of hydrodynamic interaction between swimming bacteria

Vitaliy Gyrya, Igor Aronson, Leonid V. Berlyand, Dmitry Karpeev, 2010, Bulletin of Mathematical Biology on p. 148-183

Correlation properties of collective motion in bacterial suspensions

Shawn D. Ryan, Andrey Sokolov, Leonid V. Berlyand, Igor Aronson, 2013, New Journal of Physics

Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations

V. Gyrya, K. Lipnikov, Igor Aronson, Leonid V. Berlyand, 2011, Journal of Mathematical Biology on p. 707-740

Flexibility of bacterial flagella in external shear results in complex swimming trajectories

M. Tournus, A. Kirshtein, Leonid V. Berlyand, Igor Aronson, 2015, Journal of the Royal Society Interface

Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg-Landau equation

Leonid V. Berlyand, V. Rybalko, 2010, Journal of the European Mathematical Society on p. 1497-1531

Collision of microswimmers in a viscous fluid

Mykhailo Potomkin, V. Gyrya, Igor Aronson, Leonid V. Berlyand, 2013, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics