# On Collective motion and self-organization in living world

- 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).