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

Linear time-invariant Systems01:23

Linear time-invariant Systems

920
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
920
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

373
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
373
Voltammetric Techniques: Linear-Scan (E vs Time)01:12

Voltammetric Techniques: Linear-Scan (E vs Time)

1.3K
Polarography is a classical voltammetric technique used to analyze electrochemical reactions. This method applies a linear potential sweep to a dropping mercury electrode (DME), and the resulting current is measured. A dropping mercury electrode is commonly used as the working electrode in polarography. It consists of a capillary tube filled with mercury, where the tiny droplet forms at the tip. This droplet continuously drops from the capillary, creating a new electrode surface for each...
1.3K
Distribution and Dispersion00:54

Distribution and Dispersion

25.2K
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
25.2K
Linear Circuits01:17

Linear Circuits

872
A linear circuit is characterized by its output having a direct proportionality to its input, adhering to the linearity property, which encompasses the principles of homogeneity (scaling) and additivity. Homogeneity dictates that when the input, also referred to as the excitation, is multiplied by a constant factor, the output, known as the response, is correspondingly scaled by the same constant factor. For instance, if the current is multiplied by a constant 'k,' the voltage likewise...
872
Linear Equations01:27

Linear Equations

477
Linear equations form the foundation of many algebraic and real-world applications, characterized by their simplicity and utility. A linear equation is an algebraic statement in which each term is either a constant or a product of a constant and a single variable. These equations represent straight lines when plotted on a Cartesian coordinate plane, reflecting a constant rate of change between two quantities.A typical linear equation in one variable has the form: ax + b = c, where a, b, and c...
477

You might also read

Related Articles

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

Sort by
Same author

Addition to "Polarization-Multiplexed Dynamic Light Scattering: Characterizing Rotational Diffusion and Shape of Optically Anisotropic Particles".

Analytical chemistry·2026
Same author

Polarization-Multiplexed Dynamic Light Scattering: Characterizing Rotational Diffusion and Shape of Optically Anisotropic Particles.

Analytical chemistry·2026
Same author

Long-term exposure to nanoparticles alters senescence-associated markers and immune responses in human monocyte-derived macrophages.

Nanoscale·2026
Same author

Redefining Cumulant Analysis in Dynamic Light Scattering for Multimodal and Highly Polydisperse Colloidal Systems.

The journal of physical chemistry. B·2025
Same author

Beating-wave analysis of small-angle X-ray scattering of unilamellar liposomes loaded with model drug Benzocaine.

Nanoscale·2025
Same author

Intermolecular Dynamics of Monoglyceride Mesophases with Their Biomacromolecular Corona.

Molecular pharmaceutics·2025

Related Experiment Video

Updated: Jan 31, 2026

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup
09:56

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

Published on: October 7, 2025

578

Nanoparticles and Taylor Dispersion as a Linear Time-Invariant System.

Philipp Lemal1, Alke Petri-Fink1,2, Sandor Balog1

  • 1Adolphe Merkle Institute , University of Fribourg , Chemin des Verdiers 4 , 1700 Fribourg , Switzerland.

Analytical Chemistry
|December 18, 2018
PubMed
Summary

Taylor dispersion accurately measures particle size but can be biased for small nanoparticles. Treating it as a linear time-invariant system recovers accuracy, essential for broad particle characterization.

More Related Videos

Energy Dispersive X-ray Tomography for 3D Elemental Mapping of Individual Nanoparticles
10:00

Energy Dispersive X-ray Tomography for 3D Elemental Mapping of Individual Nanoparticles

Published on: July 5, 2016

12.4K
Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method
09:43

Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method

Published on: April 11, 2020

7.2K

Related Experiment Videos

Last Updated: Jan 31, 2026

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup
09:56

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

Published on: October 7, 2025

578
Energy Dispersive X-ray Tomography for 3D Elemental Mapping of Individual Nanoparticles
10:00

Energy Dispersive X-ray Tomography for 3D Elemental Mapping of Individual Nanoparticles

Published on: July 5, 2016

12.4K
Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method
09:43

Study of Short Peptide Adsorption on Solution Dispersed Inorganic Nanoparticles Using Depletion Method

Published on: April 11, 2020

7.2K

Area of Science:

  • Physical Chemistry
  • Nanotechnology
  • Particle Characterization

Background:

  • Taylor dispersion offers a wide dynamic range for determining particle hydrodynamic radius.
  • Current methods face limitations due to non-instantaneous detection, affecting accuracy for high self-diffusion coefficients, common in small nanoparticles.

Purpose of the Study:

  • To identify biases in Taylor dispersion analysis for particles with high self-diffusion coefficients.
  • To propose and validate a method for recovering the accuracy of Taylor dispersion measurements.
  • To establish the necessity of this method for broad particle characterization.

Main Methods:

  • Analysis of Taylor dispersion principles and practical detection limitations.
  • Mathematical treatment of Taylor dispersion as a linear time-invariant system.
  • Experimental validation using Taylor dispersion spectra of iron-oxide nanoparticles.

Main Results:

  • Practical detection requirements introduce bias in Taylor dispersion analysis, particularly for small nanoparticles with high self-diffusion coefficients.
  • Treating Taylor dispersion as a linear time-invariant system corrects these biases.
  • Experimental spectra analysis confirmed the effectiveness of this approach.

Conclusions:

  • The proposed system-based treatment is crucial for accurate Taylor dispersion analysis when non-instantaneous detection affects measurements.
  • This method is necessary for characterizing broad groups of particles with varying sizes and materials, rather than optimizing for a single size.
  • Enhanced accuracy in particle size characterization is achieved through this advanced analytical approach.