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The ciliary structures were first seen in 1647 by Antonie Leeuwenhoek while observing the protozoans. In lower organisms, these appendages are responsible for cell movement, while in higher organisms, these appendages help in the movement of the extracellular fluids within the body cavities.
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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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The primary cilium, made up of microtubules, acts as antennae on the cell surfaces for relaying external stimuli into the cells. These fine hair-like structures are present, generally one per cell. These are non-motile cilia in a 9+0 microtubules arrangement, where the central pair of microtubules are absent. The primary cilia arise from the basal body embedded in the cell membrane. Intraflagellar transport (IFT) carries requisite proteins from the cytoplasm to the cilium because the primary...
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Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
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When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
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Observation of the Ciliary Movement of Choroid Plexus Epithelial Cells Ex Vivo
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Cilia oscillations.

Yi Man1, Feng Ling1, Eva Kanso1

  • 1Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089, USA.

Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences
|December 31, 2019
PubMed
Summary
This summary is machine-generated.

This study models how molecular motors drive cilia movement. Different boundary conditions, like hinged or clamped, result in distinct oscillation patterns and frequencies, offering insights into cilia dynamics.

Keywords:
axonememicrofilament deformationmolecular motors

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Area of Science:

  • Cell Biology
  • Biophysics
  • Mechanobiology

Background:

  • Cilia are essential for cell motility and transport in eukaryotes.
  • Their intricate internal structure involves molecular motors and microtubules, but regulation mechanisms remain unclear.
  • Geometric feedback from cilia deformation to motor activity is hypothesized to be crucial.

Purpose of the Study:

  • To investigate cilia oscillation waveforms and molecular motor dynamics using a sliding control model.
  • To explore the impact of different boundary conditions (hinged vs. clamped) on cilia movement.
  • To analyze how motor activity and sperm number influence oscillation frequency and amplitude.

Main Methods:

  • Implementation of a sliding control model where motor unbinding depends on microtubule doublet sliding.
  • Simulation of cilia waveforms and molecular motor dynamics under hinged and clamped boundary conditions.
  • Systematic variation of motor activity and sperm number to observe effects on oscillation parameters.

Main Results:

  • Hinged cilia models exhibited base-to-tip oscillations.
  • Clamped cilia models displayed both base-to-tip and tip-to-base oscillations.
  • Changes in oscillation frequency and amplitude were quantified with varying motor activity and sperm number.

Conclusions:

  • The sliding control model provides a framework for understanding cilia's spatial-temporal regulation.
  • Boundary conditions significantly influence cilia's oscillation patterns and dynamics.
  • Model predictions offer a basis for comparison with experimental observations of cilia behavior.