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Related Concept Videos

Characteristics of Simple Harmonic Motion01:17

Characteristics of Simple Harmonic Motion

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The key characteristic of the simple harmonic motion is that the acceleration of the system and, therefore, the net force are proportional to the displacement and act in the opposite direction to the displacement. Additionally, the period and frequency of a simple harmonic oscillator are independent of its amplitude. For example, diving boards move faster or slower based on their thickness. A stiff, thick diving board has a large force constant, which causes it to have a smaller period, while a...
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Simple Harmonic Motion01:21

Simple Harmonic Motion

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Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
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Cell Motility through Blebbing01:16

Cell Motility through Blebbing

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Blebs are a type of membrane protrusion formed by the internal hydrostatic pressure of the cytoplasm. Blebs are observed in several cell types, including fibroblasts, immune cells, and single-celled organisms like the amoeba. The primary function of blebs is cell locomotion and apoptosis, but they are also found during necrosis and cell division. The life cycle of a bleb comprises an initiation phase followed by the expansion and retraction phases.
Blebbing Through the Matrix
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Simple Harmonic Motion and Uniform Circular Motion01:42

Simple Harmonic Motion and Uniform Circular Motion

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While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic motion is an oscillatory motion in a system where the net force can be described by Hooke's law, while uniform circular motion is the motion of an object in a circular path at constant speed.
There is an easy way to produce simple harmonic motion by using uniform circular motion. For instance, consider a ball attached to a uniformly rotating...
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Energy in Simple Harmonic Motion01:23

Energy in Simple Harmonic Motion

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To determine the energy of a simple harmonic oscillator, consider all the forms of energy it can have during its simple harmonic motion. According to Hooke's Law, the energy stored during the compression/stretching of a string in a simple harmonic oscillator is potential energy. As the simple harmonic oscillator has no dissipative forces, it also possesses kinetic energy. In the presence of conservative forces, both energies can interconvert during oscillation, but the total energy remains...
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Problem Solving: Energy in Simple Harmonic Motion01:17

Problem Solving: Energy in Simple Harmonic Motion

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Simple harmonic motion (SHM) is a type of periodic motion in time and position, in which an object oscillates back and forth around an equilibrium position with a constant amplitude and frequency. In SHM, there is a continuous exchange between the potential and kinetic energy, which results in the oscillation of the object.
Consider the spring in a shock absorber of a car. The spring attached to the wheel executes simple harmonic motion while the car is moving on a bumpy road. The force on the...
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Quantitative Analysis of Random Migration of Cells Using Time-lapse Video Microscopy
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Quantitative Analysis of Random Migration of Cells Using Time-lapse Video Microscopy

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Random blebbing motion: A simple model linking cell structural properties to migration characteristics.

Thomas E Woolley1, Eamonn A Gaffney2, Alain Goriely2

  • 1Cardiff School of Mathematics Cardiff University Senghennydd Road, Cardiff, CF24 4AG, United Kingdom.

Physical Review. E
|January 20, 2018
PubMed
Summary
This summary is machine-generated.

Cellular blebs, which drive cell movement, were modeled using continuum mechanics. This mathematical framework links bleb size to cell motility, with parameter estimates aligning with experimental data.

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Area of Science:

  • Cell Biology
  • Biophysics
  • Continuum Mechanics

Background:

  • Cellular blebs are pressure-driven membrane protrusions facilitating cell motility.
  • Understanding the mechanics of bleb formation is crucial for deciphering cell movement.

Purpose of the Study:

  • To develop a mathematical model for bleb formation and cell motility.
  • To establish relationships between bleb size and macroscopic cell migration characteristics.

Main Methods:

  • Utilized continuum mechanics to model cell and bleb shapes, approximating them as spherical.
  • Incorporated cell-substrate adhesions to model blebbing cell motility.
  • Developed a multiscale modeling framework analyzing mechanically isolated blebbing events.

Main Results:

  • Derived a tractable algebraic system for bleb formation based on simplified geometry.
  • Established equations linking macroscopic migration to microscopic cellular parameters.
  • Model parameter estimates showed agreement with existing experimental data.

Conclusions:

  • The developed mathematical model provides testable relationships between bleb size and cell motility.
  • This framework offers insights into the biophysical mechanisms underlying cell migration driven by blebbing.