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

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...

Dynamic Equilibrium

Dynamic Equilibrium

A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...

Alternative Sets of Equilibrium Equations

Alternative Sets of Equilibrium Equations

When analyzing the behavior of structures, engineers often rely on the concept of equilibrium. This refers to the state where all forces and moments acting on a system balance each other, resulting in no net movement or rotation. In many cases, equilibrium can be described by a set of standard equations. However, in some situations, alternative sets of equilibrium equations must be used to describe the system's behavior accurately.
One example of such a situation can be observed in a...

Second Order systems II

Second Order systems II

In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.

Second Order systems I

Second Order systems I

A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...

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...

You might also read

Related Articles

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

Sort by

Same author

Extracting the transitivity backbone of bipartite networks.

Nature communications·2026

Same author

Numerical methods for quasi-stationary distributions.

Physical review. E·2026

Same author

Transfer entropy characterization of causal relations in heat transport near equilibrium.

Physical review. E·2026

Same author

Forecasting emergency department visits in the reference hospital of the Balearic Islands: The role of tourist and weather data.

PloS one·2026

Same author

Cost-effectiveness of personalized medical treatment in acromegaly: a post hoc analysis of the ACROFAST study.

Journal of the Endocrine Society·2026

Same author

Decision-making under negativity bias: Double hysteresis in the opinion-dependent q-voter model.

Chaos (Woodbury, N.Y.)·2026

Search research articles

Related Experiment Video

Updated: Jun 28, 2025

A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents

A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents

Published on: November 21, 2019

Ordering dynamics of nonlinear voter models.

Lucía S Ramirez¹, Federico Vazquez², Maxi San Miguel¹

¹Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.

Physical Review. E

|April 18, 2024

Summary

This study explores opinion dynamics in nonlinear voter models. For q>1, consensus is driven by majority opinion, while q<1 favors minority opinions, showcasing unique multistate behaviors unlike linear models.

More Related Videos

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

Related Experiment Videos

Last Updated: Jun 28, 2025

A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents

A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents

Published on: November 21, 2019

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

Area of Science:

Statistical Physics
Sociophysics
Complex Systems

Background:

Voter models are fundamental in opinion dynamics.
Previous models often assume linear opinion adoption rates.
Nonlinear dynamics introduce complex behaviors not seen in linear systems.

Purpose of the Study:

Investigate ordering dynamics in nonlinear voter models with multiple states.
Analyze the influence of the exponent 'q' on opinion adoption and consensus.
Develop and validate a new approximation method for these models.

Main Methods:

Analysis of nonlinear voter models with varying 'q' values.
Comparison between multistate and two-state models.
Development of a pair approximation for multistate models on graphs.

Main Results:

For q>1, deterministic drift drives consensus, with noise playing a minor role.
For q<1, minority opinions are favored, leading to metastable states in multistate models.
The nonlinear multistate model cannot be reduced to an effective two-state model and shows non-exponential interface decay for q<1.

Conclusions:

Nonlinear voter models exhibit distinct ordering dynamics compared to linear models.
The exponent 'q' critically determines the role of majority/minority opinions and noise.
The developed pair approximation enhances the analysis of nonlinear multistate opinion dynamics.