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- B. M. Haines, Andrey Sokolov, Igor Aranson, Leonid Berlyand, D. A. Karpeev
- Physical review. E, Statistical, nonlinear, and…
- 2009

We derive the effective viscosity of dilute suspensions of swimming bacteria from the microscopic details of the interaction of an elongated body with the background flow. An individual bacterium propels itself forward by rotating its flagella and reorients itself randomly by tumbling. Due to the bacterium's asymmetric shape, interactions with a prescribed… (More)

- B. M. Haines, Igor S. Aronson, Leonid Berlyand, D. A. Karpeev
- Physical biology
- 2008

Suspensions of self-propelled particles are studied in the framework of two-dimensional (2D) Stokesean hydrodynamics. A formula is obtained for the effective viscosity of such suspensions in the limit of small concentrations. This formula includes the two terms that are found in the 2D version of Einstein's classical result for passive suspensions. To this,… (More)

- Shawn D. Ryan, B. M. Haines, Leonid Berlyand, Falko Ziebert, Igor Aranson
- Physical review. E, Statistical, nonlinear, and…
- 2011

The viscosity of a suspension of swimming bacteria is investigated analytically and numerically. We propose a simple model that allows for efficient computation for a large number of bacteria. Our calculations show that long-range hydrodynamic interactions, intrinsic to self-locomoting objects in a viscous fluid, result in a dramatic reduction of the… (More)

- B. M. Haines, Igor Aranson, +5 authors D. A. Karpeev
- 2010

We present a PDE model for dilute suspensions of swimming bacteria in a three-dimensional Stokesian fluid. This model is used to calculate the statistically-stationary bulk deviatoric stress and effective viscosity of the suspension from the microscopic details of the interaction of an elongated body with the background flow. A bacterium is modeled as an… (More)

- Shawn D. Ryan, Leonid Berlyand, B. M. Haines, D. A. Karpeev
- Multiscale Modeling & Simulation
- 2013

Suspensions of self-propelled microscopic particles, such as swimming bacteria, exhibit collective motion leading to remarkable experimentally-observable macroscopic properties. Rigorous mathematical analysis of this emergent behavior can provide significant insight into the mechanisms behind these experimental observations; however, there are many… (More)

- B. M. Haines
- Nature
- 1958

- Molly E. Dempsey, B. M. Haines
- Nature
- 1949

- Molly E. Dempsey, B. M. Haines
- Journal. Royal Microscopical Society
- 1958

- Matthew E. Robertson, B. M. Haines
- The Annals of applied biology
- 1947

- Molly E. Dempsey, B. M. Haines, J H Hitchborn
- Journal. Royal Microscopical Society
- 1956