1992
DOI: 10.1016/s0006-3495(92)81683-1
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Ciliary motion modeling, and dynamic multicilia interactions

Abstract: This paper presents a rigorous and accurate modeling tool for ciliary motion. The hydrodynamics analysis, originally suggested by Lighthill (1975), has been modified to remove computational problems. This approach is incorporated into a moment-balance model of ciliary motion in place of the previously used hydrodynamic analyses, known as Resistive Force Theory. The method is also developed to include the effect of a plane surface at the base of the cilium, and the effect of the flow fields produced by neighbor… Show more

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Cited by 118 publications
(120 citation statements)
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References 24 publications
(58 reference statements)
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“…The method has been refined by many workers and used to model 3-dimensional flows in complex, fixed geometries, e.g. to determine the feeding currents in encrusting bryozoan colonies (Grünbaum 1995) and other cilia-driven flows (Grünbaum et al 1998, Gueron & Liron 1992, Gueron & Levit-Gurevich 1998. Singularities have also been used to approximately model unsteady ciliary action, bounding surfaces, and a finite-sized spherical particle to represent the catch-up concept (Mayer 2000).…”
Section: Discussionmentioning
confidence: 99%
“…The method has been refined by many workers and used to model 3-dimensional flows in complex, fixed geometries, e.g. to determine the feeding currents in encrusting bryozoan colonies (Grünbaum 1995) and other cilia-driven flows (Grünbaum et al 1998, Gueron & Liron 1992, Gueron & Levit-Gurevich 1998. Singularities have also been used to approximately model unsteady ciliary action, bounding surfaces, and a finite-sized spherical particle to represent the catch-up concept (Mayer 2000).…”
Section: Discussionmentioning
confidence: 99%
“…The force of the fluid on an element of the flagella was then calculated using RFT [10,41,45]. In RFT, the force/unit length in the normal and tangential direction, f N and f T , respectively, are obtained by multiplying the velocity components in the normal and tangential direction by the drag coefficients C N and C T. The drag -velocity equations for the force from the fluid on a particular point on the flagella in the laboratory frame are It should be noted that the forces exerted by the flagella on the fluid leading to propulsion are equal and opposite to the forces of the fluid on the flagella as described by equations (4.5a,b).…”
Section: Modellingmentioning
confidence: 99%
“…Slender body theory, coupled with elastic models of the internal structure of the cilium, has been used to model individual and arrays of cilia. For instance, it was used by Gueron & Liron (1992), Gueron et al (1997), and Gueron & Levit-Gurevich (1999) to demonstrate that, for closely packed ciliary arrays, hydrodynamic interactions between neighboring cilia are sufficient to account for antiplectic metachrony. The role of hydrodynamic coupling in the emergence of the metachronal wave was also confirmed by Elgeti & Gompper (2013).…”
Section: Introductionmentioning
confidence: 99%