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

One-Compartment Open Model for IV Bolus Administration: General Considerations

One-Compartment Open Model for IV Bolus Administration: General Considerations

The one-compartment model is a pharmacokinetic tool that models the body as a single, uniform compartment, facilitating the understanding of drug distribution and elimination. This model is particularly beneficial for intravenous (IV) bolus administration, where the drug rapidly circulates throughout the body.
The drug's presence in the body is defined by an equation representing the difference between the rates of drug entry and exit. Key parameters—elimination rate constant,...

Design Consideration

Design Consideration

Designing a structure involves a series of considerations, primarily the material's ultimate strength, calculated through tests that measure changes under increased force until the material reaches its breaking point or limit. The ultimate load, where the material breaks, is divided by its original cross-sectional area, resulting in the ultimate normal stress or strength. The ultimate shearing stress is another significant factor taken into account.
The factor of safety is another key...

Tensile Strength Considerations of Concrete

Tensile Strength Considerations of Concrete

Considering the tensile strength of concrete involves recognizing that the theoretical strength of cement paste can be up to a thousand times higher than what is observed in practical applications. This significant discrepancy is largely attributed to the presence of microscopic cracks within the concrete. These cracks tend to amplify stress at their tips when a load is applied, a phenomenon explained by Griffith's theory of brittle fracture.
The dimensions and shape of a concrete specimen...

Transmission Line Design Considerations

Transmission Line Design Considerations

Aluminum has become the material of choice for overhead transmission lines, surpassing copper due to its abundance and cost-effectiveness. The most prevalent type is the aluminum conductor, steel-reinforced (ACSR), which combines aluminum strands around a steel core. Other variants include all-aluminum conductors (AAC), all-aluminum alloy conductors (AAAC), aluminum conductor alloy-reinforced (ACAR), and aluminum-clad steel conductors. Advanced designs, such as aluminum conductors with steel...

Special considerations while measuring pulse

Special considerations while measuring pulse

Assessing a patient's pulse is a fundamental skill in healthcare, but certain situations require special attention:

Energy Considerations in Open Channel Flow

Energy Considerations in Open Channel Flow

Open channel flow, where a fluid flows with a free surface exposed to the atmosphere, is primarily governed by gravitational and surface effects, distinguishing it from closed conduit or pipe flow. In open channels such as rivers, canals, and artificial channels, energy analysis provides valuable insights into flow behavior and the relationship between depth, velocity, and slope.Specific Energy and Flow DepthIn open channel flow, the specific energy, E, combines the gravitational potential...

You might also read

Related Articles

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

Sort by

Same author

A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut.

Scientific reports·2023

Same author

Modeling the Effects of Multiple Myeloma on Kidney Function.

Scientific reports·2019

Same author

Modeling the effect of blunt impact on mitochondrial function in cartilage: implications for development of osteoarthritis.

PeerJ·2017

Same author

Linking Cellular and Mechanical Processes in Articular Cartilage Lesion Formation: A Mathematical Model.

Frontiers in bioengineering and biotechnology·2016

Same author

Mathematics as a conduit for translational research in post-traumatic osteoarthritis.

Journal of orthopaedic research : official publication of the Orthopaedic Research Society·2016

Same author

Complementary models reveal cellular responses to contact stresses that contribute to post-traumatic osteoarthritis.

Journal of orthopaedic research : official publication of the Orthopaedic Research Society·2016

Search research articles

Related Experiment Video

Updated: Jan 22, 2026

Super-resolution Imaging of Proteus mirabilis Biofilm by Expansion Microscopy

Super-resolution Imaging of Proteus mirabilis Biofilm by Expansion Microscopy

Published on: July 18, 2025

Considerations for Modeling Proteus mirabilis Swarming.

Bruce P Ayati¹

¹Department of Mathematics, University of Iowa, Iowa City, IA, USA. bruce-ayati@uiowa.edu.

Methods in Molecular Biology (Clifton, N.J.)

|July 17, 2019

Summary

This chapter guides experimentalists in creating mathematical models for biological systems. It covers model creation, usage, and collaboration for robust research findings.

Keywords:

Collaborative science Mathematical modeling Mathematical representations Proteus mirabilis Swarm colony

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: Jan 22, 2026

Super-resolution Imaging of Proteus mirabilis Biofilm by Expansion Microscopy

Super-resolution Imaging of Proteus mirabilis Biofilm by Expansion Microscopy

Published on: July 18, 2025

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:

Systems Biology
Mathematical Modeling
Experimental Design

Background:

Experimentalists require guidance on translating biological systems into mathematical representations.
Diverse research goals necessitate adaptable modeling strategies.
Effective collaboration and model validation are crucial for scientific rigor.

Purpose of the Study:

To provide foundational instruction for creating and utilizing mathematical models in experimental research.
To offer a broad overview of mathematical modeling principles applicable to various biological systems.
To enhance collaborative efforts and confidence in model outcomes among research teams.

Main Methods:

Developing a framework for constructing mathematical models.
Illustrating modeling concepts with examples, such as Proteus mirabilis colonies.
Suggesting communication strategies for interdisciplinary teams.

Main Results:

Guidance on the creation and application of mathematical models is presented.
An overview of modeling Proteus mirabilis colonies is discussed.
Strategies for improving team communication and model result confidence are suggested.

Conclusions:

Mathematical modeling is an essential tool for experimentalists.
Effective collaboration and clear communication enhance model development and reliability.
This chapter serves as a starting point for researchers new to mathematical modeling.