- B. M. Haines, I. S. Aranson, L. Berlyand, and D. A. Karpeev, Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model, Physical Biology, 5(4), pp. 046003 (2008).
- V. Gyrya, I. Aranson, L. Berlyand, and D. Karpeev, A model of hydrodynamic interaction between swimming bacteria, Bulletin of Mathematical Biology, 72, pp. 148-183 (2010).
- B. Haines, A. Sokolov, I. Aranson, and L. Berlyand, A three-dimensional model for the effective viscosity of bacterial suspensions, Physical Review E, 80, pp.041922 (2009).
- V. Gyrya, K. Lipnikov, I. Aranson, and L. Berlyand, Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations, J. Math. Biology , 62(5), pp. 707-740 (2011).
- S.D. Ryan, B.M. Haines, L. Berlyand, F. Ziebert, and I.S. Aranson, Viscosity of bacterial suspensions: Hydrodynamic interactions and self-induced noise, Rapid Communication to Phys. Rev. E, 83 050904(R) (2011)
- B. Haines, I. Aranson, L. Berlyand, and D. Karpeev, Effective viscosity of bacterial suspensions: A three-dimensional PDE model with stochastic torque, Comm. Pure Appl. Anal., 11(1), pp. 19-46 (2012).
- M. Potomkin, V. Gyrya, I. Aranson, and L. Berlyand, Collision of microswimmers in viscous fluid, Physical Review E 87 053005 (2013)
- S. Ryan, L. Berlyand, B. Haines, and D. Karpeev, A kinetic model for semi-dilute bacterial suspensions, SIAM MMS 11(4), pp. 1176-1196 (2013).
- S. Gluzman, D. Karpeev, and L. Berlyand, Effective viscosity of puller-like microswimmers: a renormalization approach, Journal of the Royal Society Interface, 10(89) (2013).
- S.D. Ryan, A. Sokolov, L. Berlyand, and I.S. Aranson, Collective dynamics in semidilute bacterial suspensions, New Journal of Physics 15 105021 (2013).
- M. Tournus, A. Kirshtein, L. Berlyand, and I. Aranson, Flexibility of bacterial flagella in external shear results in complex swimming trajectories, Journal of the Royal Society Interface 12(102) (2014).
- L. Berlyand, M.S. Mizuhara, V. Rybalko, and L. Zhang, On an evolution equation in a cell motility model, Physica D, 318-319, pp. 12-25 (2015).
- L. Berlyand, V. Rybalko, and M. Potomkin, Sharp interface limit in a phase field model of cell motility, accepted to NHM (2017).
- L. Berlyand, M. Potomkin, and V. Rybalko, Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit, Comptes Rendus Mathematique, 354(10), pp. 986-992 (2016).
- M. Potomkin, L. Berlyand, and S. D. Ryan, Effective rheological properties in semidilute bacterial suspensions, Bulletin of Mathematical Biology, 78(3), pp. 580-615 (2016).
- M. Potomkin, M. Tournus, L. Berlyand, and I. Aranson, Flagella bending affects macroscopic properties of bacterial suspensions, Journal of the Royal Society Interface, 14(130), 20161031 (2017).
- I. Aranson, L. Berlyand, and M. Mizuhara, Minimal Model of Directed Cell Motility on Patterned Substrates, submitted, (2017).
- L.Berlyand, J. Fuhrmann, and V. Rybalko, Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility, Communications in Mathematical Sciences, 16/3, 735-962 (2018).
- L.Berlyand, I. Aranson, A. Kaiser, and M. Potomkin, Focusing of Active Particles in a Converging Flow, New Journal of Physics, Vol. 19, p. 115005 (2017).
- L.Berlyand, I. Aranson, and M. Mizuhara, Minimal Model of Directed Cell Motility on Patterned Substrates, Physical Review E, 96(5) p. 052408 (2017).