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

Definition of Laplace Transform

Definition of Laplace Transform

The Laplace transform is an indispensable mathematical technique for simplifying the resolution of differential equations by converting them into more manageable algebraic expressions. The Laplace transform of a function is denoted by L[x(t)], where x(t) is the time-domain function. The laplace transform is mathematically expressed as

Properties of Laplace Transform-II

Properties of Laplace Transform-II

Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...

Properties of Laplace Transform-I

Properties of Laplace Transform-I

The Laplace transform is a powerful mathematical tool used to convert functions from the time domain into the frequency domain, greatly simplifying the analysis and solution of linear time-invariant systems. This transformation is facilitated by several universal properties: Linearity, Time-Scaling, Time-Shifting, and Frequency Shifting.
The Linearity property is foundational to the Laplace transform. It states that the transform of a linear combination of functions is equivalent to the same...

Second Derivatives and Laplace Operator

Second Derivatives and Laplace Operator

The first order operators using the del operator include the gradient, divergence and curl. Certain combinations of first order operators on a scalar or vector function yield second order expressions. Second-order expressions play a very important role in mathematics and physics. Some second order expressions include the divergence and curl of a gradient function, the divergence and curl of a curl function, and the gradient of a divergence function.
Consider a scalar function. The curl of its...

Poisson's And Laplace's Equation

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.

Traveling Waves: Lossless Lines

Traveling Waves: Lossless Lines

The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.

You might also read

Related Articles

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

Sort by

Same author

Using Compartments to Model Drug Delivery from Biodegradable Polymers.

Journal of pharmaceutical sciences·2022

Same author

Compartmental modeling of skin absorption and desorption kinetics: Donor solvent evaporation, variable diffusion/partition coefficients, and slow equilibration process within stratum corneum.

International journal of pharmaceutics·2022

Same author

Flexible intramedullary nails for limb lengthening: a comprehensive comparative study of three nails types.

Biomedical materials (Bristol, England)·2018

Same author

Compartmental modeling of skin transport.

European journal of pharmaceutics and biopharmaceutics : official journal of Arbeitsgemeinschaft fur Pharmazeutische Verfahrenstechnik e.V·2018

Same author

Surface modification of electrospun poly-(l-lactic) acid scaffolds by reactive magnetron sputtering.

Colloids and surfaces. B, Biointerfaces·2017

Same author

Plasma treatment as an efficient tool for controlled drug release from polymeric materials: A review.

Journal of controlled release : official journal of the Controlled Release Society·2017

Same journal

Methods to detect antioxidants and free radicals in human skin and its applications with focus on Asian skin.

Skin pharmacology and physiology·2026

Same journal

Simulated Microgravity Suppresses Proline Biosynthesis in Skin Fibroblasts to Impair Skin Structure.

Skin pharmacology and physiology·2026

Same journal

Multiphoton tomography of micro- and nanocosmetics in human skin: in vivo studies in volunteers and patients with ex vivo validation.

Skin pharmacology and physiology·2026

Same journal

A molecular-dynamics-guided screening pipeline identifies topical glucocorticoid receptor modulators with selective epidermal activation.

Skin pharmacology and physiology·2026

Same journal

Regional cutaneous vasodilatory responses to local heating in post-menopausal females with and without hormone replacement therapy.

Skin pharmacology and physiology·2026

Same journal

Novel Glyceryl Ascorbate Derivatives Inhibit Type 2 Alarmin Cytokine Induction and Promote Expression of Epidermal Barrier Function-Related Factors in Human Keratinocytes in vitro.

Skin pharmacology and physiology·2026

See all related articles

Search research articles

Related Experiment Video

Updated: May 9, 2026

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

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

Modelling skin penetration using the Laplace transform technique.

Y G Anissimov¹, A Watkinson

¹School of Biomolecular and Physical Sciences and Queensland Micro- and Nanotechnology Centre, Griffith University, Gold Coast, Qld., Australia. Y.Anissimov@Griffith.edu.au

Skin Pharmacology and Physiology

|August 8, 2013

Summary

This summary is machine-generated.

The Laplace transform, a mathematical method, simplifies solving differential equations. This paper reviews its use in modeling drug penetration through skin.

More Related Videos

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

Published on: February 26, 2015

Visualizing and Quantifying Pharmaceutical Compounds within Skin using Coherent Raman Scattering Imaging

Visualizing and Quantifying Pharmaceutical Compounds within Skin using Coherent Raman Scattering Imaging

Published on: November 24, 2021

Related Experiment Videos

Last Updated: May 9, 2026

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

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

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

Published on: February 26, 2015

Visualizing and Quantifying Pharmaceutical Compounds within Skin using Coherent Raman Scattering Imaging

Visualizing and Quantifying Pharmaceutical Compounds within Skin using Coherent Raman Scattering Imaging

Published on: November 24, 2021

Area of Science:

Mathematics
Pharmacokinetics
Biomedical Engineering

Background:

Differential equations are crucial for modeling complex phenomena.
The Laplace transform offers an efficient method for solving these equations.
Understanding drug penetration through skin is vital in pharmaceutical development.

Purpose of the Study:

To review the application of the Laplace transform in solving differential equations related to drug penetration through the skin.
To highlight the utility of this mathematical technique in pharmacokinetic modeling.

Main Methods:

Review of existing literature on Laplace transform applications.
Analysis of mathematical models for drug diffusion.
Discussion of differential equations relevant to transdermal drug delivery.

Main Results:

The Laplace transform effectively simplifies the analysis of drug diffusion models.
It provides a systematic approach to solving the differential equations governing skin penetration.
The technique facilitates the prediction of drug concentration profiles over time.

Conclusions:

The Laplace transform is a powerful and convenient mathematical tool for analyzing drug penetration through skin.
Its application aids in understanding and optimizing transdermal drug delivery systems.
Further research can leverage this method for more complex pharmacokinetic models.