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

Nonlinear Pharmacokinetics: Causes of Nonlinearity01:22

Nonlinear Pharmacokinetics: Causes of Nonlinearity

745
Nonlinearity in drug pharmacokinetics is caused by various factors influencing how a drug is absorbed, distributed, metabolized, and excreted. Understanding these nonlinear processes is crucial for predicting drug behavior in the body and optimizing drug dosing regimens.
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
745
The Wave Nature of Light02:12

The Wave Nature of Light

61.6K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
61.6K
Application of Nonlinear Inequalities01:29

Application of Nonlinear Inequalities

266
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...
266
Introduction to Nonlinear Inequalities01:25

Introduction to Nonlinear Inequalities

234
Linear and nonlinear inequalities are fundamental for analyzing variable relationships and identifying ranges satisfying specific conditions. A linear inequality involves variables raised only to the first power, resulting in a straight-line graph. This line partitions the coordinate plane into two distinct regions: one that satisfies the inequality and one that does not. Each region represents a set of solutions where the linear relationship holds true under the specified constraint.Nonlinear...
234
Nonlinear Pharmacokinetics: Overview01:19

Nonlinear Pharmacokinetics: Overview

1.2K
Nonlinear or dose-dependent pharmacokinetics is a phenomenon that occurs when the pharmacokinetic parameters of certain drugs deviate from linear pharmacokinetics at higher doses. These drugs do not follow the expected first-order kinetics, where the rate of drug elimination is directly proportional to the drug concentration. Instead, they exhibit a nonlinear relationship, which can be attributed to several factors.
Nonlinearity can arise due to the saturation of plasma protein-binding or...
1.2K
Nonlinear Pharmacokinetics: Role of Transporters01:27

Nonlinear Pharmacokinetics: Role of Transporters

299
A drug's nonlinear kinetics can be influenced by a diverse range of transporter proteins that serve as crucial players in drug distribution. These transporters, found within cells, can enhance or reduce local drug concentrations by facilitating the influx or efflux of drugs. For instance, the expression of xenobiotic transporters can be influenced by factors such as age and gender, potentially impacting the linearity of drug response.
Polymorphisms occurring in drug transporters can alter...
299

You might also read

Related Articles

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

Sort by
Same author

Small cell carcinoma in a bladder diverticulum: a rare case report and literature review.

Frontiers in oncology·2026
Same author

Regional mechanical matching dictates vertebral rotation improvement in severe rigid idiopathic scoliosis with halo-pelvic traction: a finite element analysis.

Journal of orthopaedic surgery and research·2026
Same author

TAT/TK dual-modified nanomicelles for celastrol delivery suppress lung cancer growth and pulmonary metastasis via NLRP3-driven pyroptosis.

Biomaterials advances·2026
Same author

Vortex solitons in disclination quasicrystals.

Reports on progress in physics. Physical Society (Great Britain)·2026
Same author

Bio-Inspired Thermoregulatory Textile Enabled by Flexible Bidirectional Shape Memory Polymer.

Biomimetics (Basel, Switzerland)·2026
Same author

Dephosphorylation-regulated MNAzyme-PER cascade as a programmable converter for multi-task molecular actuation.

Journal of nanobiotechnology·2026

Related Experiment Video

Updated: Feb 12, 2026

Biomolecular Imaging of Cellular Uptake of Nanoparticles using Multimodal Nonlinear Optical Microscopy
07:13

Biomolecular Imaging of Cellular Uptake of Nanoparticles using Multimodal Nonlinear Optical Microscopy

Published on: May 16, 2022

2.4K

Controllable optical rogue waves via nonlinearity management.

Zhengping Yang, Wei-Ping Zhong, Milivoj Belić

    Optics Express
    |April 4, 2018
    PubMed
    Summary

    Researchers found analytical solutions for nonlinear Schrödinger equations, enabling control over optical rogue waves in photonic materials through nonlinearity management. This work facilitates the creation of complex, controllable optical phenomena.

    More Related Videos

    Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
    09:23

    Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

    Published on: May 30, 2014

    15.1K
    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
    15:06

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

    Published on: January 3, 2016

    13.4K

    Related Experiment Videos

    Last Updated: Feb 12, 2026

    Biomolecular Imaging of Cellular Uptake of Nanoparticles using Multimodal Nonlinear Optical Microscopy
    07:13

    Biomolecular Imaging of Cellular Uptake of Nanoparticles using Multimodal Nonlinear Optical Microscopy

    Published on: May 16, 2022

    2.4K
    Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
    09:23

    Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

    Published on: May 30, 2014

    15.1K
    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
    15:06

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

    Published on: January 3, 2016

    13.4K

    Area of Science:

    • Nonlinear optics
    • Photonics
    • Mathematical physics

    Background:

    • The nonlinear Schrödinger (NLS) equation is fundamental in describing wave propagation in various media.
    • Optical rogue waves, extreme amplitude events, are a significant phenomenon in nonlinear optics.
    • Standard NLS equations often assume uniform media, limiting the study of complex wave dynamics.

    Purpose of the Study:

    • To derive analytical solutions for a class of nonlinear Schrödinger equations with variable coefficients.
    • To investigate the dynamics of optical rogue waves in inhomogeneous Kerr media.
    • To explore methods for controlling and generating higher-order optical rogue waves.

    Main Methods:

    • Employing a similarity transformation to obtain analytical solutions.
    • Analyzing the dynamics of optical rogue waves through nonlinearity management.
    • Adjusting nonlinearity coefficients and integration constants to control wave behavior.

    Main Results:

    • Analytical solutions were obtained for NLS equations with variable coefficients in inhomogeneous media.
    • The dynamics of optical rogue waves were successfully discussed and illustrated via nonlinearity management.
    • Higher-order rogue waves were investigated and shown to be controllable.

    Conclusions:

    • Nonlinearity management offers a viable approach to control optical rogue wave dynamics.
    • The derived solutions and methods can aid in engineering complex and controllable optical rogue waves.
    • This research has implications for designing advanced photonic materials and devices.