Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The Wave Nature of Light02:12

The Wave Nature of Light

The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Equations of Wave Motion01:02

Equations of Wave Motion

Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
Reflection of Waves01:07

Reflection of Waves

When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
Wave Parameters01:10

Wave Parameters

The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Optimal experiment design for practical parameter identifiability and model discrimination.

Mathematical biosciences·2026
Same author

Modeling Collective Cell Migration in a Data-Rich Age: Challenges and Opportunities for Data-Driven Modeling.

Cold Spring Harbor perspectives in biology·2026
Same author

Problems, Progress and Perspectives in Mathematical and Computational Biology.

Bulletin of mathematical biology·2026
Same author

A likelihood-based Bayesian inference framework for the calibration of and selection between stochastic velocity-jump models.

Journal of the Royal Society, Interface·2026
Same author

Networked collective dynamics in animal ecology and cell biology.

Physics of life reviews·2026
Same author

Growth rate-driven modelling suggests that phenotypic adaptation drives drug resistance in BRAFV600E-mutant melanoma.

Communications biology·2026
Same journal

Evolution of quantitative traits: exploring the ecological, social and genetic bases of adaptive polymorphism.

Journal of theoretical biology·2026
Same journal

The male-biased sex ratio in humans and its role in the transition from promiscuity to pair bonding.

Journal of theoretical biology·2026
Same journal

Quantifying the counter-intuitive effects of vaccination by coupling the transmission dynamics of COVID-19 and the evolution of human behaviors.

Journal of theoretical biology·2026
Same journal

An integrative model of FGF2-induced signaling and muscle cell proliferation.

Journal of theoretical biology·2026
Same journal

A hybrid reaction-diffusion and mechanical stimulus model for mandibular bone remodeling under chewing and vibratory loading.

Journal of theoretical biology·2026
Same journal

Integrated tick management strategies in fragmented peridomestic environments.

Journal of theoretical biology·2026
See all related articles

Related Experiment Video

Updated: Jun 1, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

The clock and wavefront model revisited.

Philip J Murray1, Philip K Maini, Ruth E Baker

  • 1Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK. murrayp@maths.ox.ac.uk

Journal of Theoretical Biology
|June 4, 2011
PubMed
Summary
This summary is machine-generated.

This study proposes a new clock and wavefront model for somitogenesis, emphasizing oscillator coupling over molecular gradients for pattern formation. The model successfully predicts gene expression patterns and reveals conserved mechanisms across species.

More Related Videos

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
08:42

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

Published on: September 3, 2021

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies
05:59

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Related Experiment Videos

Last Updated: Jun 1, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
08:42

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

Published on: September 3, 2021

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies
05:59

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Area of Science:

  • Developmental Biology
  • Systems Biology
  • Computational Biology

Background:

  • The accepted clock and wavefront model of somitogenesis posits that posterior molecular gradients slow clock oscillations for spatial patterning.
  • While molecular clock and wavefront components are identified in the pre-somitic mesoderm (PSM), direct evidence for wavefronts slowing oscillations is lacking.

Purpose of the Study:

  • To present an alternative clock and wavefront model for somitogenesis where oscillator coupling is central to slowing oscillations along the anterior-posterior (AP) axis.
  • To develop a model with predictive power for gene expression patterns and to test its cross-species applicability.

Main Methods:

  • Formulated a new clock and wavefront model based on oscillator coupling.
  • Identified three key model parameters measurable from clock period, somite length, and PSM length.
  • Simulated experimental perturbations and analyzed gene expression data from zebrafish, chick, mouse, and snake.

Main Results:

  • The model predicts a traveling wavefront as an emergent property, slowing oscillations along the AP axis.
  • Model predictions for stripe distance and number align with existing zebrafish data.
  • A single dimensionless parameter (ratio of coupling strengths) explains variations in patterning profiles across species, with a conserved AP period profile.

Conclusions:

  • Oscillator coupling, rather than solely molecular gradients, plays a crucial role in somitogenesis pattern formation.
  • The proposed model offers a framework for understanding conserved patterning mechanisms in the PSM across diverse species.
  • The model can define a reference frame along the AP axis and predict responses to experimental perturbations.