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A Self-Organized Vortex Array of Hydrodynamically Entrained Sperm Cells
Abstract
Many patterns in biological systems depend on the exchange of chemical signals between cells. We report a spatiotemporal pattern mediated by hydrodynamic interactions. At planar surfaces, spermatozoa self-organized into dynamic vortices resembling quantized rotating waves. These vortices formed an array with local hexagonal order. Introducing an order parameter that quantifies cooperativity, we found that the array appeared only above a critical sperm density. Using a model, we estimated the hydrodynamic interaction force between spermatozoa to be ∼0.03 piconewtons. Thus, large-scale coordination of cells can be regulated hydrodynamically, and chemical signals are not required.
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Cites
The chemical basis of morphogenesis
Turing, A. M. (1952) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1952.0012 · Cited by 11,733
Cited by
Vicsek, T., & Zafeiris, A. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.004 · Cited by 2,923
Concentration Dependence of the Collective Dynamics of Swimming Bacteria
Sokolov, A., Aranson, I. S., Kessler, J. O., & Goldstein, R. E. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.158102 · Cited by 720
Active matter at the interface between materials science and cell biology
Needleman, D., & Dogic, Z. (2017) · Nature Reviews Materials · doi:10.1038/natrevmats.2017.48 · Cited by 649
Phase transition in the collective migration of tissue cells: Experiment and model
Szabó, B., Szöllösi, G. J., Gönci, B., Jurányi, Z., Selmeczi, D., & Vicsek, T. (2006) · Physical Review E · doi:10.1103/physreve.74.061908 · Cited by 521
Emergent behavior in active colloids
Zöttl, A., & Stark, H. (2016) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/28/25/253001 · Cited by 426
Metadata
- Authors
- Riedel, I. H., Kruse, K., & Howard, J.
- Venue
- Science
- Published
- 2005-07-08
- Volume
- 309
- Issue
- 5732
- Pages
- 300-303
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2131119017
- Cited by
- 628
- References
- 1
- FWCI
- 13.45
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
