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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

247
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
247
Bernoulli's Equation: Problem Solving01:16

Bernoulli's Equation: Problem Solving

1.8K
A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity equation is...
1.8K
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

300
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
300
Velocity and Acceleration of a Wave00:51

Velocity and Acceleration of a Wave

4.7K
A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....
4.7K
Navier–Stokes Equations01:28

Navier–Stokes Equations

2.0K
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
2.0K
Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction01:15

Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction

1.1K
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...
1.1K

You might also read

Related Articles

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

Sort by
Same author

Ecological risk and source attribution of macro litter in the biodiverse blue carbon mangrove ecosystem along the Gulf of Mannar.

Marine pollution bulletin·2025
Same author

Optimization of selective catalytic reduction for nox emission control: an experimental and CFD analysis of mixer designs.

Scientific reports·2025
Same author

Review on Carbon-Based Micro and Nano Electro-Mechanical Systems for Biotechnological Application.

Recent patents on nanotechnology·2025
Same author

Spatial variation and pollution indices of anthropogenic marine litter on the beaches in gulf of Mannar, India.

Marine pollution bulletin·2025
Same author

Microplastics in the Eastern Arabian Sea: Decision support tools for monitoring and environmental risk reduction.

Journal of environmental management·2024
Same author

Vulnerability of mangrove ecosystems to anthropogenic marine litter along the southeast coast of India.

The Science of the total environment·2024

Related Experiment Video

Updated: Jan 3, 2026

Optimization of Radiochemical Reactions using Droplet Arrays
10:54

Optimization of Radiochemical Reactions using Droplet Arrays

Published on: February 12, 2021

3.8K

An efficient wavelet-based optimization algorithm for the solutions of reaction-diffusion equations in biomedicine.

M Mahalakshmi1, G Hariharan1, G R Brindha2

  • 1Department of Mathematics, School of Arts, Sciences & Humanities (SASH), Thanjavur, Tamilnadu-613401, India.

Computer Methods and Programs in Biomedicine
|November 26, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a wavelet-based spectral method to solve nonlinear reaction-diffusion equations with Michaelis-Menten kinetics. The efficient method accurately models substrate concentration in planar and spherical solids, offering computational advantages.

Keywords:
Michaelis–Menten kineticsReaction-equation equationWavelets

More Related Videos

Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics
07:57

Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics

Published on: November 10, 2014

8.2K
A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
10:33

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

Published on: February 23, 2018

26.0K

Related Experiment Videos

Last Updated: Jan 3, 2026

Optimization of Radiochemical Reactions using Droplet Arrays
10:54

Optimization of Radiochemical Reactions using Droplet Arrays

Published on: February 12, 2021

3.8K
Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics
07:57

Taking Advantage of Reduced Droplet-surface Interaction to Optimize Transport of Bioanalytes in Digital Microfluidics

Published on: November 10, 2014

8.2K
A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
10:33

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

Published on: February 23, 2018

26.0K

Area of Science:

  • Applied Mathematics
  • Chemical Kinetics
  • Computational Science

Background:

  • Reaction-diffusion equations model complex phenomena in biology and chemistry.
  • Michaelis-Menten kinetics describe enzyme-catalyzed reactions.
  • Accurate modeling of substrate concentration is crucial for understanding these systems.

Purpose of the Study:

  • To develop and validate an efficient wavelet-based spectral method for nonlinear reaction-diffusion equations.
  • To analyze substrate concentration in planar and spherical geometries under Michaelis-Menten kinetics.
  • To compare the computational efficiency and accuracy against established methods like the Adomian Decomposition Method (ADM).

Main Methods:

  • A mathematical model incorporating non-stationary diffusion and Michaelis-Menten kinetics was formulated.
  • A wavelet-based spectral method was developed for analytical solutions.
  • Computational CPU time was used to assess method efficiency.
  • Results were validated by comparison with the Adomian Decomposition Method (ADM).

Main Results:

  • The wavelet-based spectral method provides analytical expressions for substrate concentration.
  • The method demonstrates high efficiency, confirmed by reduced computational CPU time.
  • Satisfactory agreement was observed between wavelet-based results and ADM.
  • The method proved to be simple, flexible, and computationally cost-effective.

Conclusions:

  • The proposed wavelet-based spectral method is a powerful and efficient tool for solving nonlinear reaction-diffusion equations with Michaelis-Menten kinetics.
  • This approach offers a computationally advantageous alternative to traditional methods.
  • The method's simplicity and flexibility make it suitable for various parameter values and geometries.