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

Osmoregulation in Fishes02:32

Osmoregulation in Fishes

52.9K
When cells are placed in a hypotonic (low-salt) fluid, they can swell and burst. Meanwhile, cells in a hypertonic solution—with a higher salt concentration—can shrivel and die. How do fish cells avoid these gruesome fates in hypotonic freshwater or hypertonic seawater environments?
52.9K
Frequency-dependent Selection01:21

Frequency-dependent Selection

23.1K
When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
23.1K
Density00:56

Density

19.3K
Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
19.3K
Structure of Benzene: Kekulé Model01:07

Structure of Benzene: Kekulé Model

11.7K
In 1865, August Kekule suggested the structure of benzene according to the structural theory of organic chemistry based on the three assertions—formula of benzene is C6H6, all the hydrogens of benzene are equivalent, and each carbon must have four bonds due to its tetravalency.
He proposed that benzene has a cyclic structure of six carbon atoms attached to one hydrogen atom each, with three alternating pi bonds.
11.7K
Current Density01:21

Current Density

5.0K
The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, the amount of current flowing through a conductor is the same at all points along the conductor, even if the conductor area varies. The current density consists of the local magnitude and direction of the charge flow, which varies from point to point. Current density is measured in amperes per meter square, and direction is defined as the net...
5.0K
Temperature Dependence on Reaction Rate02:55

Temperature Dependence on Reaction Rate

88.6K
The Collision Theory
Atoms, molecules, or ions must collide before they can react with each other. Atoms must be close together to form chemical bonds. This premise is the basis for a theory that explains many observations regarding chemical kinetics, including factors affecting reaction rates.
The collision theory is based on the postulates that (i) the reaction rate is proportional to the rate of reactant collisions, (ii) the reacting species collide in an orientation allowing contact between...
88.6K

You might also read

Related Articles

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

Sort by
Same author

Application of a Non-Clamping Sutureless Technique Combined with Radiofrequency Ultrasound Scalpel in Laparoscopic Nephron-Sparing Surgery for T1 Renal Cell Carcinoma: A Retrospective Cohort Study.

Technology in cancer research & treatment·2026
Same author

Unveiling tectorigenin: A novel ferroptosis inducer targeting EGFR in bladder cancer.

Phytomedicine : international journal of phytotherapy and phytopharmacology·2025
Same author

A prospective study of Gallium-68 ventilation and perfusion PET/CT during and after radiotherapy in patients with non-small cell lung cancer.

Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology·2025
Same author

Salt-sensitive hypertension promotes neuronal mitochondrial stress and neurodegenerative alterations via neuro-vascular metabolic reprogramming and local RAS signaling.

Journal of neuroinflammation·2025
Same author

Fully Automated Image-Based Multiplexing of Serial PET/CT Imaging for Facilitating Comprehensive Disease Phenotyping.

Journal of nuclear medicine : official publication, Society of Nuclear Medicine·2025
Same author

ADAM17 Supports Disinhibition of Pre-sympathetic Glutamatergic Neurons Through Microglial Chemotaxis.

Neuroscience bulletin·2025
Same journal

Effects of Seasonal Births and Predation on Disease Spread.

Bulletin of mathematical biology·2026
Same journal

Identifiability, Sensitivity, and Genetic Algorithms in Bacterial Biofilm Selection Models.

Bulletin of mathematical biology·2026
Same journal

Slow Evolution Towards Generalism in a Model of Variable Dietary Range.

Bulletin of mathematical biology·2026
Same journal

CBINN: Cancer Biology-Informed Neural Network for Unknown Parameter Estimation and Missing Physics Identification.

Bulletin of mathematical biology·2026
Same journal

A Cost-Sensitive Behavioral Modeling Analysis of the Early Identification and Control of Infectious Diseases.

Bulletin of mathematical biology·2026
Same journal

Tracking Dynamics of Superspreading Through Contacts, Exposures, and Transmissions in Edge-Based Network Epidemics.

Bulletin of mathematical biology·2026
See all related articles

Related Experiment Video

Updated: Jan 21, 2026

Development of New Methods for Quantifying Fish Density Using Underwater Stereo-video Tools
09:32

Development of New Methods for Quantifying Fish Density Using Underwater Stereo-video Tools

Published on: November 20, 2017

9.7K

Analysis of a Length-Structured Density-Dependent Model for Fish.

Jason Callahan1, Eric Eager2, Richard Rebarber3

  • 1St. Edward's University, Austin, USA. jasonc@stedwards.edu.

Bulletin of Mathematical Biology
|July 24, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a fish population model where growth depends on biomass. The model predicts population dynamics and structure, offering insights for managing invasive species like white perch.

Keywords:
Density dependenceEquilibriaFish populationsPopulation dynamicsStability

More Related Videos

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
07:41

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

Published on: July 30, 2019

8.0K
Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.6K

Related Experiment Videos

Last Updated: Jan 21, 2026

Development of New Methods for Quantifying Fish Density Using Underwater Stereo-video Tools
09:32

Development of New Methods for Quantifying Fish Density Using Underwater Stereo-video Tools

Published on: November 20, 2017

9.7K
Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
07:41

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

Published on: July 30, 2019

8.0K
Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.6K

Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • Understanding fish population dynamics is crucial for effective fisheries management.
  • Density-dependent factors significantly influence population growth and structure.
  • Invasive species pose ecological and economic challenges, necessitating robust predictive models.

Purpose of the Study:

  • To develop and analyze a length-structured matrix model incorporating density-dependent growth.
  • To classify the population dynamics predicted by this nonlinear, biomass-dependent model.
  • To apply the model to an invasive white perch population for management insights.

Main Methods:

  • Development of a length-structured matrix population model.
  • Mathematical analysis of model dynamics, including stability and boundedness.
  • Numerical simulations using data from an invasive white perch population.

Main Results:

  • The model predicts complex population dynamics influenced by nonlinear density dependence.
  • Mathematical results classify conditions for population persistence and boundedness.
  • Simulations indicate an equilibrium structure often dominated by smaller fish for invasive white perch.

Conclusions:

  • The developed model provides a framework for understanding density-dependent fish population dynamics.
  • Model predictions can inform management strategies for invasive species, such as white perch.
  • The findings highlight the importance of considering fish size structure and biomass in population modeling.