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

Mathematical Modeling: Problem Solving01:29

Mathematical Modeling: Problem Solving

365
Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
365
Mathematical Induction01:29

Mathematical Induction

273
Mathematical induction is a structured method of proof used to confirm the truth of statements involving natural numbers. Consider the sum of the first n natural numbers:This formula describes a pattern that appears to hold true as more terms are added. To verify that it is valid for all natural numbers, mathematical induction proceeds in two essential steps. The first is the base case, where the formula is tested for the initial value, typically n = 1. Substituting into both sides confirms the...
273
Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units01:19

Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units

1.6K
Mathematical principles play a crucial role in pharmacokinetics, providing a framework for understanding and quantifying drug distribution and elimination dynamics in the body. By utilizing mathematical expressions and units, pharmacologists can accurately characterize the behavior of drugs, optimize dosing regimens, and predict therapeutic outcomes.
One significant application of mathematics in pharmacokinetics is the characterization of drug distribution through the volume of distribution...
1.6K
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs01:21

Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs

3.1K
The fundamental mathematical principles, such as calculus and graphs, play crucial roles in analyzing drug movement and determining pharmacokinetic parameters. Differential calculus examines rates of change and helps to determine the dissolution rate of drugs in biofluids, as well as how drug concentrations change over time. For instance, it can help calculate the rate of elimination of a drug from the body based on its concentration-time profile.
On the other hand, integral calculus focuses on...
3.1K
Relation between Mathematical Equations and Block Diagrams01:20

Relation between Mathematical Equations and Block Diagrams

3.3K
In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.
3.3K
Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction01:15

Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction

1.2K
In pharmacokinetics, the rates and order of reactions play a crucial role in understanding how the body processes drugs and help us comprehend drug absorption, distribution, metabolism, and elimination. A critical concept in pharmacokinetics is the rate constant, which quantifies the speed of a reaction. It provides valuable information about the kinetics of drug elimination. The rate constant allows us to determine the rate at which drugs are eliminated from the body.
Pharmacokinetic reactions...
1.2K

You might also read

Related Articles

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

Sort by
Same author

PDE and agent based simulation approaches to Ischemic Dermal Wound Closure.

PloS one·2026
Same author

Intercalated disk structure, tissue heterogeneity and ion channel distribution modulate conduction and local calcium influx.

The Journal of physiology·2026
Same author

Electrodiffusion in cardiac intercalated disc nanostructures alters cell-cell action potential transmission via ephaptic coupling: A model study.

The Journal of physiology·2025
Same author

The influence of intercalated disk nanostructure on local ionic currents and cardiac conduction.

Biophysical journal·2025
Same author

Interplay between variability in intrinsic cellular properties and heart failure-associated remodeling in a simulated population with human heart failure.

Journal of molecular and cellular cardiology·2025
Same author

Modeling treatment of osteoarthritis with standard therapy and senolytic drugs.

PloS one·2025
Same journal

Evolution of quantitative traits: exploring the ecological, social and genetic bases of adaptive polymorphism.

Journal of theoretical biology·2026
Same journal

The male-biased sex ratio in humans and its role in the transition from promiscuity to pair bonding.

Journal of theoretical biology·2026
Same journal

Quantifying the counter-intuitive effects of vaccination by coupling the transmission dynamics of COVID-19 and the evolution of human behaviors.

Journal of theoretical biology·2026
Same journal

An integrative model of FGF2-induced signaling and muscle cell proliferation.

Journal of theoretical biology·2026
Same journal

A hybrid reaction-diffusion and mechanical stimulus model for mandibular bone remodeling under chewing and vibratory loading.

Journal of theoretical biology·2026
Same journal

Integrated tick management strategies in fragmented peridomestic environments.

Journal of theoretical biology·2026
See all related articles

Related Experiment Video

Updated: Feb 3, 2026

An Adoptive Transfer Model of Rheumatoid Arthritis in Mice
07:37

An Adoptive Transfer Model of Rheumatoid Arthritis in Mice

Published on: June 6, 2025

1.2K

Rheumatoid arthritis - a mathematical model.

Nicolae Moise1, Avner Friedman2

  • 1Carol Davila University of Medicine and Pharmacy, Bucharest, Romania.

Journal of Theoretical Biology
|October 23, 2018
PubMed
Summary
This summary is machine-generated.

This study presents a mathematical model for rheumatoid arthritis (RA) progression, quantifying cartilage degradation and synovial layer changes to evaluate drug treatments for this autoimmune joint disease.

More Related Videos

Generation of Induced-pluripotent Stem Cells Using Fibroblast-like Synoviocytes Isolated from Joints of Rheumatoid Arthritis Patients
09:31

Generation of Induced-pluripotent Stem Cells Using Fibroblast-like Synoviocytes Isolated from Joints of Rheumatoid Arthritis Patients

Published on: October 16, 2016

9.9K
Author Spotlight: Enhancing Rheumatoid Arthritis Research Through HR-pQCT Imaging Analysis
06:31

Author Spotlight: Enhancing Rheumatoid Arthritis Research Through HR-pQCT Imaging Analysis

Published on: October 6, 2023

3.1K

Related Experiment Videos

Last Updated: Feb 3, 2026

An Adoptive Transfer Model of Rheumatoid Arthritis in Mice
07:37

An Adoptive Transfer Model of Rheumatoid Arthritis in Mice

Published on: June 6, 2025

1.2K
Generation of Induced-pluripotent Stem Cells Using Fibroblast-like Synoviocytes Isolated from Joints of Rheumatoid Arthritis Patients
09:31

Generation of Induced-pluripotent Stem Cells Using Fibroblast-like Synoviocytes Isolated from Joints of Rheumatoid Arthritis Patients

Published on: October 16, 2016

9.9K
Author Spotlight: Enhancing Rheumatoid Arthritis Research Through HR-pQCT Imaging Analysis
06:31

Author Spotlight: Enhancing Rheumatoid Arthritis Research Through HR-pQCT Imaging Analysis

Published on: October 6, 2023

3.1K

Area of Science:

  • Rheumatology
  • Biomathematics
  • Computational Biology

Background:

  • Rheumatoid arthritis (RA) is a prevalent autoimmune disease impacting joints.
  • RA involves synovial inflammation, potentially leading to cartilage and bone destruction.

Purpose of the Study:

  • Develop a mathematical model for chronic rheumatoid arthritis (RA).
  • Characterize RA progression via cartilage degradation and synovial layer changes.
  • Evaluate current and experimental RA treatments using the developed model.

Main Methods:

  • Utilized a system of partial differential equations (PDEs) modeling synovial fluid, membrane, and cartilage.
  • Assumed a simplified planar geometry for synovial membrane and cartilage layers.
  • Quantified disease state by cartilage layer decrease or synovial layer increase.

Main Results:

  • The mathematical model successfully characterizes RA progression.
  • The model provides a quantitative measure of disease state.
  • The model is applicable to evaluating RA drug efficacy.

Conclusions:

  • A novel mathematical model aids in understanding rheumatoid arthritis (RA) pathogenesis.
  • The model offers a tool for assessing therapeutic interventions in RA.
  • This approach can guide the development of new RA treatments.