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

Directionality of Nuclear Transport01:42

Directionality of Nuclear Transport

3.3K
Ras-related nuclear protein or Ran is a small G protein that cycles between its GTP and GDP bound states. Ran specific regulators, a Ran GTPase Activating Protein or RanGAP present in the cytosol and a Ran guanine nucleotide exchange factor or RanGEF present inside the nucleus regulate GTP/GDP exchange. A high concentration of GTP inside the cells, in addition to this asymmetric distribution of  Ran-specific regulators, leads to a higher RanGTP concentration inside the nucleus. This...
3.3K
Relative Velocity in One Dimension01:10

Relative Velocity in One Dimension

7.7K
The understanding of the concept of reference frames is essential to discuss relative motion in one or more dimensions. When we say that an object has a certain velocity, we must state the velocity with respect to a given reference frame. In most examples, this reference frame has been Earth. For instance, if a statement reads that a person is sitting in a train moving at 10 m/s east, then it implies that the person on the train is moving relative to the surface of Earth at this velocity,...
7.7K
State Space to Transfer Function01:21

State Space to Transfer Function

229
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
229
Relative Velocity in Two Dimensions01:11

Relative Velocity in Two Dimensions

7.3K
Relative velocity is the velocity of an object as observed from a particular reference frame, or the velocity of one reference frame with respect to another reference frame. The concept of relative velocity can be used to describe motion in two dimensions. Consider a particle P and two reference frames S and S′. The position of the origin of S′ as measured in S is , the position of P as measured in S′ is , and the position of P as measured in S is , which can be evaluated by...
7.3K
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

1.2K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
1.2K
Phase Transitions02:31

Phase Transitions

19.2K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
19.2K

You might also read

Related Articles

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

Sort by
Same author

Geometric diagnostics of scrambling-related sensitivity in a Bohmian preparation space.

The Journal of chemical physics·2026
Same author

Energy transport and chaos in a one-dimensional disordered nonlinear stub lattice.

Chaos (Woodbury, N.Y.)·2026
Same author

Discontinuous transition to active nematic turbulence.

Nature communications·2025
Same author

Temperature-Dependent Mechanical and Structural Properties of Uniaxially Strained Planar Graphene.

Materials (Basel, Switzerland)·2025
Same author

Roaming in acetaldehyde.

The Journal of chemical physics·2024
Same author

Dynamical matching in a three-dimensional Caldera potential-energy surface.

Physical review. E·2023

Related Experiment Video

Updated: Jul 16, 2025

Author Spotlight: Investigating the Effects of Mind-Body-Movement Practices on Brain Function
06:17

Author Spotlight: Investigating the Effects of Mind-Body-Movement Practices on Brain Function

Published on: January 26, 2024

2.0K

Navigating phase space transport with the origin-fate map.

Malcolm Hillebrand1,2,3, Matthaios Katsanikas4,5, Stephen Wiggins5,6

  • 1Nonlinear Dynamics and Chaos Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa.

Physical Review. E
|September 19, 2023
PubMed
Summary
This summary is machine-generated.

We introduce the origin-fate map (OFM) to study phase space transport in chemical reactions. This tool details how reactant molecules transform into products, revealing complex dynamics and guiding predictions.

More Related Videos

Characterizing the Composition of Molecular Motors on Moving Axonal Cargo Using "Cargo Mapping" Analysis
11:09

Characterizing the Composition of Molecular Motors on Moving Axonal Cargo Using "Cargo Mapping" Analysis

Published on: October 30, 2014

9.4K
Visualizing and Analyzing Intracellular Transport of Organelles and Other Cargos in Astrocytes
00:07

Visualizing and Analyzing Intracellular Transport of Organelles and Other Cargos in Astrocytes

Published on: August 28, 2019

7.8K

Related Experiment Videos

Last Updated: Jul 16, 2025

Author Spotlight: Investigating the Effects of Mind-Body-Movement Practices on Brain Function
06:17

Author Spotlight: Investigating the Effects of Mind-Body-Movement Practices on Brain Function

Published on: January 26, 2024

2.0K
Characterizing the Composition of Molecular Motors on Moving Axonal Cargo Using "Cargo Mapping" Analysis
11:09

Characterizing the Composition of Molecular Motors on Moving Axonal Cargo Using "Cargo Mapping" Analysis

Published on: October 30, 2014

9.4K
Visualizing and Analyzing Intracellular Transport of Organelles and Other Cargos in Astrocytes
00:07

Visualizing and Analyzing Intracellular Transport of Organelles and Other Cargos in Astrocytes

Published on: August 28, 2019

7.8K

Area of Science:

  • Chemical Dynamics
  • Physical Chemistry
  • Computational Chemistry

Background:

  • Investigating phase space transport is crucial for understanding chemical reaction dynamics.
  • Classical manifold theory provides a framework but can be limited in detailing complex structures.

Purpose of the Study:

  • Introduce and demonstrate the origin-fate map (OFM) as a novel tool for analyzing phase space transport.
  • Provide a comprehensive understanding of lobe dynamics in reactant-product systems.
  • Enhance the analysis of reactive trajectories and chemical selectivity.

Main Methods:

  • Utilize backward and forward integration of initial conditions to determine origin and fate.
  • Apply the OFM to a two degrees of freedom caldera potential with four exits.
  • Compute the OFM on the periodic orbit dividing surface (PODS) for transition state analysis.

Main Results:

  • The OFM successfully visualizes and quantifies complex lobe structures in phase space.
  • It recapitulates and extends findings from classical manifold theory.
  • The OFM accurately detects dynamic transitions, predicts unstable periodic orbits (UPOs), and analyzes branching ratios.

Conclusions:

  • The origin-fate map (OFM) is a powerful and versatile tool for detailed investigation of chemical reaction dynamics.
  • It offers significant descriptive and quantitative applications in understanding phase space transport.
  • The OFM aids in exploring fractal structures, chaotic selectivity, and reaction branching ratios.