Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Three-Compartment Open Model

Three-Compartment Open Model

The three-compartment open model is a pharmacokinetic model used to describe the distribution and elimination of drugs following extravascular administration. It comprises a central compartment representing the plasma and two peripheral compartments. The highly perfused peripheral compartment represents organs and tissues with a rich blood supply, such as the liver, kidneys, and lungs. The scarcely perfused peripheral compartment represents tissues with lower blood supply, such as adipose...

Multicompartment Models: Overview

Multicompartment Models: Overview

Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...

The Fluid Mosaic Model

The Fluid Mosaic Model

The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.

Hybrid Zones

Hybrid Zones

Hybrid zones are narrow regions where two closely related species interact, mate, and produce hybrids. Relative to either parent species, hybrids may possess distinct phenotypic or genetic differences that impact their survival and reproductive success. The genetic variances introduced by hybridization influence species diversity and speciation processes within the hybrid zone.

Fluid Mosaic Model

Fluid Mosaic Model

Scientists identified the plasma membrane in the 1890s and its principal chemical components (lipids and proteins) by 1915. The model for plasma membrane structure, proposed in 1935 by Hugh Davson and James Danielli, was the first model to be widely accepted in the scientific community. The model was based on the plasma membrane's "railroad track" appearance in early electron micrographs. Davson and Danielli theorized that the plasma membrane's structure resembled a sandwich with the analogy of...

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...

You might also read

Related Articles

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

Sort by

Same author

Cave morphology and human-mediated sediment deposition: Late Pleistocene to Holocene evolution of the cave floor at Panga ya Saidi, coastal Kenya.

PloS one·2026

Same author

Diazoxide choline extended-release (DCCR) use in Prader-Willi syndrome: patient selection, dosing, and management.

Journal of the Endocrine Society·2026

Same author

Interplay of Ca<sup>2+</sup> and PIP<sub>2</sub> in TMEM16A channel function.

The Journal of physiology·2025

Same author

Awareness and Application of United States Food Allergy Prevention Guidelines Among Pediatricians and Other Clinicians.

Pediatrics·2025

Same author

Niche Macrophages Recycle Iron to Tumor Cells and Foster Erythroblast Mimicry to Promote Bone Metastasis and Anemia.

bioRxiv : the preprint server for biology·2025

Same author

Prophylactic use of canine parvovirus monoclonal antibody induces blockade of vaccinal canine parvovirus immunization similar to maternally derived passive immunity.

American journal of veterinary research·2025

Search research articles

Related Experiment Video

Updated: May 30, 2026

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

A continuum three-zone model for swarms.

Jennifer M Miller¹, Allison Kolpas, Joao Plinio Juchem Neto

¹Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA.

Bulletin of Mathematical Biology

|July 30, 2011

Summary

This summary is machine-generated.

This study introduces three continuum models to explain swarm behavior, revealing that attraction strength relative to repulsion and orientation dictates swarm stability and structure.

More Related Videos

Time-lapse Imaging of Bacterial Swarms and the Collective Stress Response

Time-lapse Imaging of Bacterial Swarms and the Collective Stress Response

Published on: May 23, 2020

Quantifying Bacterial Surface Swarming Motility on Inducer Gradient Plates

Quantifying Bacterial Surface Swarming Motility on Inducer Gradient Plates

Published on: January 5, 2022

Related Experiment Videos

Last Updated: May 30, 2026

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Time-lapse Imaging of Bacterial Swarms and the Collective Stress Response

Time-lapse Imaging of Bacterial Swarms and the Collective Stress Response

Published on: May 23, 2020

Quantifying Bacterial Surface Swarming Motility on Inducer Gradient Plates

Quantifying Bacterial Surface Swarming Motility on Inducer Gradient Plates

Published on: January 5, 2022

Area of Science:

Mathematical Biology
Complex Systems
Collective Behavior

Background:

Swarm behavior in biological aggregations is complex.
Understanding emergent structures from individual interactions is key.
Continuum models offer a macroscopic view of collective dynamics.

Purpose of the Study:

To develop and analyze continuum models for swarm behavior.
To explain coherent structures observed in biological aggregations.
To link individual-based interactions to macroscopic swarm dynamics.

Main Methods:

Developed three distinct three-zone, continuum models (first-order variable-speed, second-order variable-speed, second-order constant-speed).
Employed convolution-based modeling for repulsion, orientation, and attraction zones.
Utilized linear stability analysis to study perturbations in uniform swarms.
Validated models by comparing with individual-based simulations.

Main Results:

Swarm stability depends on the balance between attraction, repulsion, and orientation strengths.
Unstable regimes can lead to radially symmetric attractors with variable density.
Other unstable regimes result in incoherent swarming states.
Continuum models accurately predict swarm behavior observed in individual-based models.

Conclusions:

The developed continuum models provide a framework for understanding swarm dynamics.
The relative strengths of social interactions are critical determinants of swarm structure.
These models can predict the emergence of both ordered and disordered collective behaviors.