Vortex Flows and Streamline Topology in Curved Biological Membranes
| Autor: | Naomi Oppenheimer, Rickmoy Samanta |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Mechanical Engineering Fluid Dynamics (physics.flu-dyn) Computational Mechanics FOS: Physical sciences Perfect fluid Physics - Fluid Dynamics Condensed Matter - Soft Condensed Matter Condensed Matter Physics Curvature Rotation Topology Vortex Physics::Fluid Dynamics Biological Physics (physics.bio-ph) Mechanics of Materials Membrane curvature Soft Condensed Matter (cond-mat.soft) Streamlines streaklines and pathlines Physics - Biological Physics Hamiltonian (control theory) Topology (chemistry) |
| Popis: | When considering flows in biological membranes, they are usually treated as flat, though more often than not, they are curved surfaces, even extremely curved, as in the case of the endoplasmic reticulum. Here, we study the topological effects of curvature on flows in membranes. Focusing on a system of many point vortical defects, we are able to cast the viscous dynamics of the defects in terms of a geometric Hamiltonian. In contrast to the planar situation, the flows generate additional defects of positive index. For the simpler situation of two vortices, we analytically predict the location of these stagnation points. At the low curvature limit, the dynamics resemble that of vortices in an ideal fluid, but considerable deviations occur at high curvatures. The geometric formulation allows us to construct the spatio-temporal evolution of streamline topology of the flows resulting from hydrodynamic interactions between the vortices. The streamlines reveal novel dynamical bifurcations leading to spontaneous defect-pair creation and fusion. Further, we find that membrane curvature mediates defect binding and imparts a global rotation to the many-vortex system, with the individual vortices still interacting locally. 19+17 pages, 13 figures, v2 : References updated, typos fixed, author information updated |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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