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

Approximate Integration

Approximate Integration

In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...

Polymers: Molecular Weight Distribution

Polymers: Molecular Weight Distribution

For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.

Dosage Regimens: Partial Pharmacokinetic Parameters

Dosage Regimens: Partial Pharmacokinetic Parameters

It is not uncommon for complete drug pharmacokinetic profiles to remain elusive in pharmacokinetics. This necessitates certain educated assumptions by pharmacokineticists to determine appropriate dosage regimens without comprehensive pharmacokinetic data from animal or human studies. One prevalent assumption is setting the bioavailability factor, denoted as F, to 1 or 100%. This assumption caters to the scenario where a drug doesn't achieve full systemic absorption, resulting in the patient...

Model-Independent Approaches for Pharmacokinetic Data: Noncompartmental Analysis

Model-Independent Approaches for Pharmacokinetic Data: Noncompartmental Analysis

Noncompartmental analyses offer an alternative method for describing drug pharmacokinetics without relying on a specific compartmental model. In this approach, the drug's pharmacokinetics are assumed to be linear, with the terminal phase log-linear. This assumption allows for simplified analysis and interpretation of the drug's behavior in the body.
One important characteristic of noncompartmental analyses is that drug exposure increases proportionally with increasing doses. This relationship...

Ostwald’s Dilution Law

Ostwald’s Dilution Law

Consider a binary electrolyte AB with a concentration ‘c’ that reversibly dissociates into its constituent ions. The degree of this dissociation is represented by ⍺. This means that the equilibrium concentration of each ionic species can be expressed as ⍺c. As well as this, the fraction of the electrolyte that remains undissociated at equilibrium is given by (1−⍺). The corresponding equilibrium concentration for this undissociated portion is then calculated as (1−⍺)c. For such solutions,...

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...

You might also read

Related Articles

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

Sort by

Same author

The effect of direction of force to the craniofacial skeleton on the severity of brain injury in patients with a fronto-basal fracture.

International journal of oral and maxillofacial surgery·2016

Same author

Applied anatomy of the anterior cranial fossa: what can fracture patterns tell us?

International journal of oral and maxillofacial surgery·2015

Same author

Approximations to extinction from randomly oriented circular and elliptical cylinders.

Applied optics·2010

Same author

Analytic approximation to randomly oriented spheroid extinction.

Applied optics·2010

Same author

Bridging the gap between the Rayleigh and Thomson limits for spheres and spheroids.

Applied optics·2010

Same author

Remote biodetection performance of a pulsed monostatic lidar system.

Applied optics·2010

Search research articles

Related Experiment Video

Updated: Jun 6, 2026

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Published on: October 7, 2025

Approximations of polydispersed extinction.

B T Evans, G R Fournier

|November 25, 2010

Summary

A new method rapidly calculates polydispersed extinction efficiency for various particle shapes and distributions. This technique offers arbitrary accuracy, enhancing light scattering calculations for diverse applications.

Area of Science:

Optical physics
Materials science
Computational modeling

Background:

Accurate calculation of extinction efficiency is crucial for understanding light-matter interactions.
Evaluating extinction efficiency for polydispersed particles with complex shapes is computationally challenging.

Purpose of the Study:

To develop a rapid and accurate method for calculating polydispersed extinction efficiency.
To provide a versatile approach applicable to various particle shapes and size distributions.

Main Methods:

The presented method utilizes a novel integration technique over particle size distributions.
It requires known monodisperse codes or expressions and the second moment inverse of the polydispersion.
The approach allows for integration over any interval of the distribution function.

More Related Videos

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Related Experiment Videos

Last Updated: Jun 6, 2026

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Published on: October 7, 2025

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Main Results:

The method successfully evaluated polydispersed extinction efficiency for spheres and spheroids.
It demonstrated the capability to achieve arbitrary accuracy.
The approach was applied to nth-order log-normal and modified gamma particle distributions.

Conclusions:

The developed method offers a significant advancement in the rapid and accurate computation of extinction efficiency for polydispersed systems.
This technique is broadly applicable to various particle morphologies and size distributions in optical physics and materials science.
The ability to achieve arbitrary accuracy makes it a valuable tool for complex light scattering simulations.