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

Cascaded Op Amps01:16

Cascaded Op Amps

Operational amplifiers (op-amps) are versatile electronic components that can be interconnected in a cascade - one after another in a linear sequence. This cascading is possible due to their infinite input resistance and zero output resistance, allowing them to maintain their input-output relationships even when connected in series.
In a cascaded system, each op-amp is referred to as a stage. The output of one stage drives the input of the subsequent stage. As the input signal passes through...
Rab Cascades01:25

Rab Cascades

Rab GTPases act in a regulated cascade during membrane fusion, helping the lipid bilayers mix. The Rab family of proteins are active when bound to GTP, and inactive when bound to GDP. Hence, they act as guanine nucleotide-dependent molecular switches. Rab-GTP recognizes and binds to long or short-range tethering proteins to capture the target vesicle. These tethers coordinate with SNAREs on the vesicle and the target membrane to assemble the trans SNARE complex that locks the mixing bilayers.
Survival Tree01:19

Survival Tree

Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
 Building a Survival Tree
Constructing a survival tree begins...
Intracellular Signaling Cascades01:24

Intracellular Signaling Cascades

Once a ligand binds to a receptor, the signal is transmitted through the membrane and into the cytoplasm. The continuation of a signal in this manner is called signal transduction. Signal transduction only occurs with cell-surface receptors, which cannot interact with most components of the cell, such as DNA. Only internal receptors can interact directly with DNA in the nucleus to initiate protein synthesis. When a ligand binds to its receptor, conformational changes occur that affect the...
Amplifying Signals via Enzymatic Cascade01:22

Amplifying Signals via Enzymatic Cascade

When a ligand binds to a cell-surface receptor, the receptor's intracellular domain changes shape, which may either activate its enzyme function or allow its binding to other molecules. The initial signal is amplified by most signal transduction pathways. This means that a single ligand molecule can activate multiple molecules of a downstream target. Proteins that relay a signal are most commonly phosphorylated at one or more sites, activating or inactivating the protein. Kinases catalyze the...
Cells Coordinate Growth and Proliferation02:36

Cells Coordinate Growth and Proliferation

Cell size is a significant factor impacting cellular design, function, and fitness. There exists some internal coordination by which cells double their masses before division, thus, achieving homeostasis. Coordination between cell growth and proliferation depends on the checkpoints in between cell cycle phases. Loss of coordination or failure in the checkpoint mechanism can drive the cell to uncontrolled growth and loss of cellular function. Like dividing cells that coordinate cellular growth,...

You might also read

Related Articles

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

Sort by
Same author

Detecting changepoints in dynamical systems: Modeling time-varying transmission of seasonal influenza.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Self-Reinforcing Cascades: A Spreading Model for Beliefs or Products of Varying Intensity or Quality.

Physical review letters·2025
Same author

Time-dependent influence metric for cascade dynamics on networks.

Physical review. E·2025
Same author

Effectiveness of contact tracing on networks with cliques.

Physical review. E·2024
Same author

Agent-based null models for examining experimental social interaction networks.

Scientific reports·2023
Same author

Multitype branching process method for modeling complex contagion on clustered networks.

Physical review. E·2022

Related Experiment Video

Updated: Jul 13, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
05:55

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Seed size strongly affects cascades on random networks.

James P Gleeson1, Diarmuid J Cahalane

  • 1Applied Mathematics, University College Cork, Cork, Ireland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

Avalanche size in Watts models is analytically determined. Cascade existence depends on initial disturbance size, with new discontinuous transitions found at low network degrees.

Area of Science:

  • Complex Systems
  • Network Science
  • Statistical Physics

Background:

  • The Watts model describes threshold dynamics on random networks, crucial for understanding cascade phenomena.
  • Previous studies identified transitions in cascade size based on mean network degree (z), typically continuous at low z and discontinuous at high z.

Purpose of the Study:

  • To analytically determine the average avalanche size in the Watts model for networks with arbitrary degree distributions.
  • To investigate the influence of initial seed disturbance size on the existence criteria for global cascades.
  • To explore new transition behaviors in cascade size dependence on mean network degree.

Main Methods:

  • Analytical determination of average avalanche size.
  • Investigation of cascade existence criteria based on initial conditions.

Related Experiment Videos

Last Updated: Jul 13, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
05:55

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

  • Analysis of cascade size dependence on mean network degree (z) across different parameter regimes.

    • Main Results:

    • Global cascade existence is highly sensitive to the size of the initial seed disturbance.
    • The dependence of cascade size on mean degree (z) exhibits transitions, which can be discontinuous even at low z in specific parameter regimes.
    • Established connections between these network dynamics and the zero-temperature random-field Ising model on random graphs.

    Conclusions:

    • The study provides a precise analytical framework for avalanche size in the Watts model.
    • Initial disturbance size is a critical factor controlling the onset and extent of cascades.
    • The findings reveal more complex transition dynamics than previously understood, with implications for network stability and robustness.