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

Machines01:19

Machines

439
Machines are complex structures consisting of movable, pin-connected multi-force members that work together to transmit forces. One example of a machine is the cutting plier, which is used to cut wires by applying forces to its handles. When equal and opposite forces are exerted on the handles of the cutting plier, they cause the cutting edges to come together and apply equal and opposite reaction forces on the wire, which are greater than the applied forces.
A free-body diagram of the...
439
Machines: Problem Solving II01:30

Machines: Problem Solving II

503
Machines are complex structures consisting of movable, pin-connected multi-force members that work together to transmit forces. Consider a lifting tong carrying a 100 kg load. It comprises movable sections DAF and CBG linked together with member AB.
503
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.5K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.5K
Machines: Problem Solving I01:22

Machines: Problem Solving I

530
A toggle clamp is a mechanical device commonly used for holding and clamping objects in various applications, such as woodworking, metalworking, and assembly operations. Consider a toggle clamp subjected to a force of 200 N at the handle. The vertical clamping force can be calculated, provided the dimensions of the toggle clamp are known.
The toggle clamp system is a machine structure consisting of movable, pin-connected multi-force members that form a stabilized system to transmit forces. The...
530
Mechanical Systems01:22

Mechanical Systems

396
Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
396
Pascal's Law01:04

Pascal's Law

10.3K
In 1653, the French philosopher and scientist Blaise Pascal published "Treatise on the Equilibrium of Liquids," which discussed the principles of static fluids. A static fluid is a fluid that is not in motion. When a fluid is not flowing, we say that the fluid is in static equilibrium. If the fluid is water, we say it is in hydrostatic equilibrium. For a fluid in static equilibrium, the net force on any part of the fluid must be zero; otherwise, the fluid will start to flow. Pascal...
10.3K

You might also read

Related Articles

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

Sort by
Same author

Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems.

Bulletin of mathematical biology·2025
Same author

Utility of local capillary supply indices: Insights from computational image-based modelling.

The Journal of physiology·2025
Same author

Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation.

Bulletin of mathematical biology·2025
Same author

Transient Instability and Patterns of Reactivity in Diffusive-Chemotaxis Soil Carbon Dynamics.

Bulletin of mathematical biology·2025
Same author

Designing reaction-cross-diffusion systems with Turing and wave instabilities.

Journal of mathematical biology·2025
Same author

An Asymptotic Analysis of Bivalent Monoclonal Antibody-Antigen Binding.

Bulletin of mathematical biology·2025
Same journal

Mathematical Modeling Shows that Overall Infection Burden is Reduced More by Vaccines that Decrease Spread or Accelerate Recovery than those that Lower Severe Infections or Death.

Bulletin of mathematical biology·2026
Same journal

Effects of Seasonal Births and Predation on Disease Spread.

Bulletin of mathematical biology·2026
Same journal

Identifiability, Sensitivity, and Genetic Algorithms in Bacterial Biofilm Selection Models.

Bulletin of mathematical biology·2026
Same journal

Slow Evolution Towards Generalism in a Model of Variable Dietary Range.

Bulletin of mathematical biology·2026
Same journal

CBINN: Cancer Biology-Informed Neural Network for Unknown Parameter Estimation and Missing Physics Identification.

Bulletin of mathematical biology·2026
Same journal

A Cost-Sensitive Behavioral Modeling Analysis of the Early Identification and Control of Infectious Diseases.

Bulletin of mathematical biology·2026
See all related articles

Related Experiment Video

Updated: Nov 12, 2025

Design and Implementation of a Bespoke Robotic Manipulator for Extra-corporeal Ultrasound
07:41

Design and Implementation of a Bespoke Robotic Manipulator for Extra-corporeal Ultrasound

Published on: January 7, 2019

9.4K

Bespoke Turing Systems.

Thomas E Woolley1, Andrew L Krause2, Eamonn A Gaffney2

  • 1Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK. woolleyt1@cardiff.ac.uk.

Bulletin of Mathematical Biology
|March 19, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new framework for designing reaction-diffusion systems that generate Turing patterns. Researchers can now construct systems with desired patterning features, like spots or stripes, for synthetic biology applications.

Keywords:
IdentifiabilityTuring patterns

More Related Videos

One Dimensional Turing-Like Handshake Test for Motor Intelligence
14:05

One Dimensional Turing-Like Handshake Test for Motor Intelligence

Published on: December 15, 2010

28.2K
RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans
11:09

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

Published on: July 17, 2021

3.2K

Related Experiment Videos

Last Updated: Nov 12, 2025

Design and Implementation of a Bespoke Robotic Manipulator for Extra-corporeal Ultrasound
07:41

Design and Implementation of a Bespoke Robotic Manipulator for Extra-corporeal Ultrasound

Published on: January 7, 2019

9.4K
One Dimensional Turing-Like Handshake Test for Motor Intelligence
14:05

One Dimensional Turing-Like Handshake Test for Motor Intelligence

Published on: December 15, 2010

28.2K
RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans
11:09

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

Published on: July 17, 2021

3.2K

Area of Science:

  • Mathematical Biology
  • Chemical Kinetics
  • Pattern Formation

Background:

  • Reaction-diffusion systems are partial differential equations used to model pattern formation via Turing instability.
  • Existing Turing systems often lack flexibility in parameter determination and functional form selection.
  • Designing specific spatial patterns from homogeneous states is challenging.

Purpose of the Study:

  • To develop a constructive framework for identifying reaction-diffusion systems that exhibit Turing instability within a specified parameter region.
  • To enable the selection of desired patterning features, such as spots or stripes.
  • To provide a method for designing complex patterning landscapes.

Main Methods:

  • Considered the reverse problem of pattern formation: designing systems for desired outcomes.
  • Developed a framework using two populations governed by polynomial morphogen kinetics.
  • Investigated patterning parameter domains, morphogen phases, and pattern types in various spatial dimensions.
  • Employed spatial and temporal heterogeneity to achieve mixed-mode patterns.

Main Results:

  • Demonstrated the ability to determine patterning parameter domains and morphogen phases in any spatial dimension.
  • Showed control over pattern type (spots, stripes) in up to two spatial dimensions.
  • Achieved complex mixed-mode patterns (spots, stripes, prepatterns) using spatial and temporal heterogeneity.
  • Successfully designed systems capable of generating arbitrarily complicated patterning landscapes.

Conclusions:

  • The developed framework offers a constructive approach to designing reaction-diffusion systems for specific Turing patterns.
  • This methodology is applicable to pedagogical uses and the design of synthetic chemical and biological systems.
  • Highlights the need for stronger constraints when linking theoretical models with experimental data in biological modeling due to design freedom.