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pubmed-article:8710872pubmed:abstractTextBacteria that swim without the benefit of flagella might do so by generating longitudinal or transverse surface waves. For example, swimming speeds of order 25 microns/s are expected for a spherical cell propagating longitudinal waves of 0.2 micron length, 0.02 micron amplitude, and 160 microns/s speed. This problem was solved earlier by mathematicians who were interested in the locomotion of ciliates and who considered the undulations of the envelope swept out by ciliary tips. A new solution is given for spheres propagating sinusoidal waveforms rather than Legendre polynomials. The earlier work is reviewed and possible experimental tests are suggested.lld:pubmed
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pubmed-article:8710872pubmed:articleTitleDo cyanobacteria swim using traveling surface waves?lld:pubmed
pubmed-article:8710872pubmed:affiliationDepartment of Mathematics, California State University at Monterey Bay, Seaside 93933, USA.lld:pubmed
pubmed-article:8710872pubmed:publicationTypeJournal Articlelld:pubmed
pubmed-article:8710872pubmed:publicationTypeResearch Support, U.S. Gov't, P.H.S.lld:pubmed
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