Active Biological Systems

  1. "Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility” (with J. Fuhrmann, V. Rybalko), submitted, (2017), pdf.
  2. "Minimal Model of Directed Cell Motility on Patterned Substrates” (with I. Aranson, M. Mizuhara), submitted, (2017), pdf.
  3. "Flagella bending affects macroscopic properties of bacterial suspensions” (with M. Potomkin, M. Tournus, and I. Aranson), accepted to Journal of the Royal Society Interface (2017), pdf.
  4. "Effective rheological properties in semidilute bacterial suspensions" (with M. Potomkin and S. D. Ryan), Bulletin of Mathematical Biology, 78(3), pp. 580-615 (2016), pdf.
  5. "Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit" (with M. Potomkin and V. Rybalko), Comptes Rendus Mathematique, 354(10), pp. 986-992 (2016), pdf.
  6. "Sharp interface limit in a phase field model of cell motility” (with V. Rybalko, M. Potomkin), submitted (2016), pdf.
  7. "On an evolution equation in a cell motility model" (with M.S. Mizuhara, V. Rybalko, L. Zhang), Physica D, 318-319, pp. 12-25 (2015), pdf.
  8. "Flexibility of bacterial flagella in external shear results in complex swimming trajectories" (with M. Tournus, A. Kirshtein, and I. Aranson), Journal of the Royal Society Interface 12 (102) (2014), pdf.
  9. "Collective dynamics in semidilute bacterial suspensions" (with S.D. Ryan, A. Sokolov, I.S. Aranson), New Journal of Physics 15 105021 (2013), pdf.
  10. "Effective viscosity of puller-like microswimmers: a renormalization approach" (with S. Gluzman and D.A. Karpeev), J. Royal Society Interface 10:89 (2013), pdf.
  11. "A kinetic model for semi-dilute bacterial suspensions" (with S.D. Ryan, B.M. Haines, D.A. Karpeev), SIAM MMS 11:4, pp. 1176-1196 (2013), pdf.
  12. "Collision of microswimmers in viscous fluid" (with M. Potomkin, V. Gyrya, I. Aranson), Physical Review E 87 053005 (2013), pdf.
  13. "Effective viscosity of bacterial suspensions: A three-dimensional PDE model with stochastic torque" (with B.M. Haines, I.S. Aranson, D.A. Karpeev),  Comm. Pure Appl. Anal., v. 11(1), pp. 19-46 (2012), pdf.
  14. "Viscosity of bacterial suspensions: Hydrodynamic interactions and self-induced noise" (with S.D. Ryan, B.M. Haines, F. Ziebert, I.S. Aranson), Rapid Communication to Phys. Rev. E, 83 050904(R) (2011), pdf.
  15. "Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations" (with V. Gyrya, K. Lipnikov, I. Aranson), J. Math. Biology , v. 62 (5), pp. 707-740 (2011), pdf.
  16. "A three-dimensional model for the effective viscosity of bacterial suspensions" (with B.M. Haines, A. Sokolov, I.S. Aranson, D.A. Karpeev), Physical Review E, v. 80, pp.041922 (2009), pdf.
  17. "A model of hydrodynamic interaction between swimming bacteria" (with V.T. Gyrya, I.S. Aranson, D.A. Karpeev), Bulletin of Mathematical Biology v. 72, pp. 148-183 (2010), pdf.
  18. "Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model" (with B. Haines, I. Aronson, and D. Karpeev), Physical Biology, 5:4, 046003 (9pp) (2008), pdf.