Publications

1. "Dynamics and steady state of squirmer motion in liquid crystal" (with L. Berlyand, H. Chi, N.K. Yip), European Journal of Applied Mathematics, pp. 1-42 (2023),  [arXiv preprint]

2. "Self-sustained three-dimensional beating of a model eukaryotic flagellum" (with B. Rallabandi and Q. Wang), Soft Matter (2022)

3. "Motor protein transport along inhomogeneous microtubules" (with S. D. Ryan and Z. McCarthy), Bulletin of Mathematical Biology, Vol. 83, Issue 2, pp. 1-29 (2021)
   [arXiv preprint]

4. "Self-propulsion and shear flow align active particles in nozzles and channels" (with L. Dominguez Rubio, R. Baker, A. Sen, L. Berlyand, and I. Aranson), Advanced Intelligent Systems, Vol. 3, Issue 2, 2000178 (2020)

5. "Surface anchoring controls orientation of a microswimmer in nematic liquid crystal" (with H. Chi, L. Zhang, L. Berlyand, and I. Aranson), Communications Physics, Vol. 3, 162 (2020)

6. "A kinetic approach to active rod dynamics in confined domains" (with L. Berlyand, P.-E. Jabin, and E. Ratajczyk), SIAM Multiscale Modeling and Simulation, Vol. 18, Issue 1, pp. 1-18 (2020)
   [arXiv preprint]

7. "Fight the Flow: The Role of Shear in Artificial Rheotaxis for Individual and Collective Motion" (with R. Baker, J. E. Kauffman, A. Laskar, O. Shklyaev, L. Dominguez-Rubio, H. Shum, Y. Cruz-Rivera, I. Aranson, A. C. Balazs, and A. Sen), Nanoscale, Vol. 11, pp. 10944-10951 (2019)

8. "Continuum approximations to systems of correlated interacting particles" (with L. Berlyand, R. Creese, and P.-E. Jabin), Journal of Statistical Physics, Vol. 174, Issue 4, pp. 808-829 (2018)
   [arXiv preprint]

9. "Focusing of Active Particles in a Converging Flow" (with A. Kaiser, L. Berlyand, and I. Aranson), New Journal of Physics, Vol. 19, 115005 (2017)
   [arXiv preprint]

10. "Sharp Interface Limit in a Phase Field Model of Cell Motility" (with V. Rybalko and L. Berlyand), Network and Heterogeneous Media, Vol. 12, Number 4, pp. 551-590 (2017)
    [arXiv preprint]

11. "Flagella bending affects macroscopic properties of bacterial suspensions" (with M. Tournus, L. Berlyand, and I. Aranson), Journal of the Royal Society Interface, Vol. 14, Issue 130, 20161031 (2017)
    [arXiv preprint]

    • Press: Discovery could influence methods to control bacteria on medical and other surfaces: Flexible flagella fight flow: Bacteria change a liquid's properties and escape entrapment. ScienceDaily, 30 June 2017.

12. "Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit" (with V. Rybalko and L. Berlyand), Comptes Rendus Mathematique, Vol. 354, Issue 10, pp. 986-992 (2016)
    [arXiv preprint]

13. "Complexity Reduction in Many Particle Systems with Random Initial Data" (with L. Berlyand and P.-E. Jabin), SIAM/ASA J. Uncertainty Quantification, Vol. 4, Issue 1, pp. 446-474 (2016)
    [arXiv preprint]

14. "Effective Rheological Properties in Semidilute Bacterial Suspensions" (with S.D. Ryan and L. Berlyand), Bulletin of Mathematical Biology, Vol. 78, Issue 3, pp. 580-615 (2016)
    [arXiv preprint]

15. "Collision of microswimmers in viscous fluid" (with V. Gyrya, I. Aranson, and L. Berlyand), Physical Review E, Vol. 87, No. 5, p. 053005 (2013)

16. "A nonlinear transmission problem for a compound plate with thermoelastic part", Mathematical Methods in Applied Sciences, Vol. 35, Issue 5, pp. 530-546 (2012)
    [arXiv preprint]

17. "Asymptotic Behavior of Nonlinear Transmission Plate Problem", Proceedings of IFIP Conference on System Modeling and Optimization, pp. 521-527 (2011)

18. "On Transmission Problem for Berger Plates on an Elastic Base", Journal of Mathematical Physics, Analysis, Geometry, Vol. 7, No. 1, pp. 96-102 (2011)

19. "On Singular Limit and Upper Semicontinuous Family of Attractors of Thermoviscoelastic Berger Plate", Journal of Mathematical Physics, Analysis, Geometry, Vol. 6, No. 3, pp. 1-32 (2010)

20. "Asymptotic behavior of thermoviscoelastic Berger plate", Communications on Pure and Applied Analysis, Vol. 9, No. 1, pp. 161-192 (2010)
    [arXiv preprint]

21. "Global attractors for the thermoelastic extensible beam system", (with C. Giorgi, M.G. Naso, and V. Pata), Journal of Differential Equations, Vol. 246, pp. 3496-3517 (2009)
    [arXiv preprint]

22. "Asymptotic behavior of solutions of a non-linear thermoelastic plate problem", Dopovidi NASU 2, pp. 26-31 (2009; in Russian)

Other preprints available on arxiv.org

1. Phase Field Model of Cell Motility: Sharp Interface Limit in Sub-Critical Case (with V. Rybalko and L. Berlyand)

2. Boundary Conditions in PDE Model of Collisions of swimmers (with V. Gyrya and L. Berlyand)