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: Wagner-Nelson and Loo Riegelman Method for ka Estimation

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for k_a Estimation

This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...

Newton’s Method

Newton’s Method

Newton’s Method is a powerful iterative technique for approximating the roots of real-valued, differentiable functions, particularly when analytical solutions are impractical. This approach is widely used in scientific computing, engineering, and finance, where equations may be too complex for traditional algebraic methods to handle. The method relies on an iterative process that refines an initial estimate using the function’s derivative to approach the true solution progressively.

Extraction: Advanced Methods

Extraction: Advanced Methods

Metal ions can be separated from one another by complexation with organic ligands–the chelating agent– to form uncharged chelates. Here, the chelating agent must contain hydrophobic groups and behave as a weak acid, losing a proton to bind with the metal. Since most organic ligands used in this process are insoluble or undergo oxidation in the aqueous phase, the chelating agent is initially added to the organic phase and extracted into the aqueous phase. The metal-ligand complex is formed in...

Inverse z-Transform by Partial Fraction Expansion

Inverse z-Transform by Partial Fraction Expansion

The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
To begin the process, the poles of the function are identified and the function is...

Gaussian Elimination: Problem Solving

Gaussian Elimination: Problem Solving

Systems of linear equations in several variables are pivotal in modeling complex scenarios involving multiple unknowns and constraints. Such systems are widely used in various fields to represent relationships where several conditions must be simultaneously satisfied. Each variable in the system corresponds to an unknown quantity, while each equation imposes a linear constraint, leading to a structured approach for analyzing and solving real-world problems.A system of three equations with three...

Application of Nonlinear Inequalities

Application of Nonlinear Inequalities

A nonlinear inequality describes a comparison involving an expression that curves or behaves more complexly than a straight line. These inequalities often appear in forms that include squares, products, or variables in the denominator.To solve such an inequality, one starts by rewriting it so that zero appears on one side. For example, the inequality: can be factored as: This form makes it easier to identify the values that cause the expression to equal zero. In this case, the key values are 3...

You might also read

Related Articles

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

Sort by

Same author

Reconstruction of local emissivity profile from line integrated data using Abel transform.

The Review of scientific instruments·2025

Same author

Investigation on CMB monopole and dipole using blackbody radiation inversion.

Scientific reports·2023

Same author

Revisiting cosmic microwave background radiation using blackbody radiation inversion.

Scientific reports·2021

Same author

Supplementation of cauda epididymal plasma improves sperm characteristics following liquid preservation of ram semen at 3-5°C.

Reproduction, fertility, and development·2019

Same author

Combining molecular docking and molecular dynamics studies for modelling Staphylococcus aureus MurD inhibitory activity.

SAR and QSAR in environmental research·2018

Same author

The Etiology of Green Diarrhœa of Infants: The Deficiency Factor.

The Indian medical gazette·2017

Search research articles

Related Experiment Video

Updated: Jul 11, 2026

Novel Sequence Discovery by Subtractive Genomics

Novel Sequence Discovery by Subtractive Genomics

Published on: January 25, 2019

Novel approach to Abel inversion.

¹Department of Applied Physics, Birla Institute of Technology, Mesra, Ranchi 835215, India.

The Review of Scientific Instruments

|October 2, 2007

Summary

This summary is machine-generated.

This study introduces new, simple emissivity functions for Abel inversion, offering a faster and more accurate method. These functions were validated with simulated data and successfully applied to tokamak plasma profiles.

More Related Videos

Reverse Genetic Morpholino Approach Using Cardiac Ventricular Injection to Transfect Multiple Difficult-to-target Tissues in the Zebrafish Larva

Reverse Genetic Morpholino Approach Using Cardiac Ventricular Injection to Transfect Multiple Difficult-to-target Tissues in the Zebrafish Larva

Published on: June 17, 2014

Related Experiment Videos

Last Updated: Jul 11, 2026

Novel Sequence Discovery by Subtractive Genomics

Novel Sequence Discovery by Subtractive Genomics

Published on: January 25, 2019

Reverse Genetic Morpholino Approach Using Cardiac Ventricular Injection to Transfect Multiple Difficult-to-target Tissues in the Zebrafish Larva

Reverse Genetic Morpholino Approach Using Cardiac Ventricular Injection to Transfect Multiple Difficult-to-target Tissues in the Zebrafish Larva

Published on: June 17, 2014

Area of Science:

Plasma physics
Applied mathematics

Background:

Abel inversion is crucial for analyzing 1D radially symmetric plasma profiles.
Existing methods can be computationally intensive and less accurate.

Purpose of the Study:

To develop and validate simple, physically valid emissivity functions for Abel inversion.
To demonstrate the advantages of the proposed functions over existing techniques.

Main Methods:

Proposed two-parameter emissivity functions for peaked and hollow profiles.
Performed Abel inversion using the new functions.
Validated with simulated data under various conditions.
Computed process errors and compared with existing methods.

Main Results:

The proposed functions provide fast, accurate, convenient, and viable Abel inversion.
Error depends on the model emissivity's functional form.
Demonstrated advantages over existing methods, particularly for real-time applications.
Successfully obtained soft X-ray and visible light emissivity profiles of SINP tokamak.

Conclusions:

The new emissivity functions offer a significant improvement for Abel inversion.
The method is suitable for real-time analysis of plasma profiles.
Validated applicability to experimental tokamak data.