Dynamics of filaments and membranes in a viscous fluid

By T. Powers. 2009

155 citations recorded by the source corpus.

Motivated by the motion of biopolymers and membranes in solution, this article presents a formulation of the equations of motion for curves and surfaces in a viscous fluid. We focus on geometrical aspects and simple variational methods for calculating internal stresses and forces, and we derive the full nonlinear equations of motion. In the case of membranes, we pay particular attention to the formulation of the equations of hydrodynamics on a curved, deforming surface. The formalism is illustrated by two simple case studies: (1) the twirling instability of straight elastic rod rotating in a viscous fluid, and (2) the pearling and buckling instabilities of a tubular liposome or polymersome.

Subfields: Biomedical Engineering, Condensed Matter Physics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/9c105f0951d7eeb1ba162c73bf9db12540a4b115

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Ulrich S. Schwarz
2. J. Blake
3. Shmuel Safran
4. Eamonn A. Gaffney
5. David. J. Smith

In Condensed Matter Physics

1. Eamonn A. Gaffney
2. David. J. Smith
3. H. Gadêlha
4. Jackson C. Kirkman-Brown
5. J. Blake
6. Ulrich S. Schwarz
7. Shmuel Safran
8. Eric Lauga

In Molecular Biology

1. Ulrich S. Schwarz
2. Shmuel Safran
3. Eamonn A. Gaffney

Citations in the corpus

• Physics of adherent cells (2013, background): “…sensitive to thermal fluctuations and concepts from both mechanics and statistical mechanics must be employed to understand phenomena such as, e.g., conformational changes of membranes (Powers, 2010; Seifert, 1997) or deformations of polymer networks (Bausch and Kroy, 2006; Chen et al., 2010b).”
• Mammalian Sperm Motility: Observation and Theory (2011, background): “…there has also been a resurgence in explorations of the fundamental biophysics and fluid dynamics of sperm swimming (for reviews and recent research, see Fauci & Dillon 2006, Riedel-Kruse et al. 2007, Brokaw 2008, Lauga & Powers 2009, Teran et al. 2010, Mitchison & Mitchison 2010, Powers 2010).”