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

Positive and Negative Feedback Loops01:18

Positive and Negative Feedback Loops

23.9K
Animal organs and organ systems constantly adjust to internal and external changes through a process called homeostasis ("steady state"). Examples of these changes include regulation of the level of glucose or calcium in the blood or internal responses to external temperatures. Homeostasis requires  maintaining an internal dynamic equilibrium:
23.9K
Energy Diagrams - II01:10

Energy Diagrams - II

11.7K
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
11.7K
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

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

244
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,...
244
Control System Problem01:21

Control System Problem

348
In an open-loop system, such as a basic thermostat, the poles of the transfer function influence the system's response but do not determine its stability. However, when feedback is introduced to form a closed-loop system, such as an advanced thermostat that adjusts heating based on room temperature, stability is governed by the new poles of the closed-loop transfer function.
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
348
What is Homeostasis?01:16

What is Homeostasis?

51.5K
Maintaining homeostasis requires that the body continuously maintain its internal conditions. Each physiological condition has a particular set point, from body temperature to blood pressure to levels of certain nutrients. A set point is the physiological value around which the normal range fluctuates. A normal range is a restricted set of values that is optimally healthful and stable. For example, the set point for normal human body temperature is approximately 37°C (98.6°F).
51.5K
Equivalent Resistance01:16

Equivalent Resistance

884
In circuit analysis, situations often arise where resistors are neither in series nor parallel configurations. To tackle such scenarios, three-terminal equivalent networks like the wye (Y) (Figure 1 (a)) or tee (T) and delta (Δ) (Figure 1 (b)) or pi (π) networks come into play. These networks offer versatile solutions and are frequently encountered in various applications, including three-phase electrical systems, electrical filters, and matching networks.
884

You might also read

Related Articles

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

Sort by
Same author

Tandem C-C/C-N Bond Formation via Rh(III)-Catalyzed α-Fluoroalkenylation and Sequential Annulation of 2-Arylquinazolinones and <i>gem</i>-Difluorostyrenes.

The Journal of organic chemistry·2022
Same author

Knowledge Atlas of Insular Epilepsy: A Bibliometric Analysis.

Neuropsychiatric disease and treatment·2022
Same author

Effects of Dietary Supplementation with Iron in Breeding Pigeons on the Blood Iron Status, Tissue Iron Content, and Full Expression of Iron-Containing Enzymes of Squabs.

Biological trace element research·2022
Same author

Deep brain stimulation creates informational lesion through membrane depolarization in mouse hippocampus.

Nature communications·2022
Same author

Toward High-Energy-Density Aqueous Lithium-Ion Batteries Using Silver Nanowires as Current Collectors.

Molecules (Basel, Switzerland)·2022
Same author

Low-dose human chorionic gonadotropin supplementation initiated at the onset of ovarian stimulation can improve oocyte quality without impairing endometrial receptivity: Case series.

Medicine·2022

Related Experiment Video

Updated: Dec 31, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.6K

Infinitesimal homeostasis in three-node input-output networks.

Martin Golubitsky1, Yangyang Wang2

  • 1Department of Mathematics, The Ohio State University, Columbus, OH, 43210, USA. golubitsky.4@osu.edu.

Journal of Mathematical Biology
|January 11, 2020
PubMed
Summary

This study classifies three-node network mechanisms for infinitesimal homeostasis, identifying structural, Haldane, and null-degradation homeostasis. These findings advance the understanding of biological system regulation through mathematical modeling.

Keywords:
BiochemistryHomeostasisNetworksSingularity theory

More Related Videos

Interactive and Visualized Online Experimentation System for Engineering Education and Research
08:35

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

2.9K
The Use of Chemostats in Microbial Systems Biology
13:19

The Use of Chemostats in Microbial Systems Biology

Published on: October 14, 2013

31.6K

Related Experiment Videos

Last Updated: Dec 31, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.6K
Interactive and Visualized Online Experimentation System for Engineering Education and Research
08:35

Interactive and Visualized Online Experimentation System for Engineering Education and Research

Published on: November 24, 2021

2.9K
The Use of Chemostats in Microbial Systems Biology
13:19

The Use of Chemostats in Microbial Systems Biology

Published on: October 14, 2013

31.6K

Area of Science:

  • Systems Biology
  • Mathematical Biology
  • Control Theory

Background:

  • Homeostasis is crucial for biological system regulation, maintaining constant output variables despite input variations.
  • Existing methods define homeostasis via derivatives, with infinitesimal homeostasis using singularity theory.
  • Previous work identified examples like feedforward excitation and substrate inhibition in three-node systems.

Purpose of the Study:

  • To provide a complete classification of three-node input-output network configurations leading to infinitesimal homeostasis.
  • To identify and define the fundamental mechanisms underlying infinitesimal homeostasis in these networks.
  • To connect graph theory, singularity theory, and network structure to understand homeostasis.

Main Methods:

  • Analyzed 13 distinct three-node network structures, resulting in 78 input-output configurations.
  • Utilized general admissible systems framework for classification, independent of specific biochemical models.
  • Related homeostasis types to graph-theoretic properties, specifically simple path existence.

Main Results:

  • Identified three basic mechanisms for infinitesimal homeostasis: structural, Haldane, and null-degradation homeostasis.
  • Structural homeostasis requires a feedforward loop with two distinct paths (one excitatory, one inhibitory).
  • Haldane homeostasis occurs on a single path with a zero-strength coupling; null-degradation homeostasis requires a zero degradation constant.

Conclusions:

  • Established a comprehensive classification of infinitesimal homeostasis in three-node networks.
  • Demonstrated the link between network topology (feedforward loops, simple paths) and homeostasis mechanisms.
  • Provided a foundation for applying singularity theory to higher-codimension homeostasis singularities.