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Related Concept Videos

Gradient and Del Operator01:14

Gradient and Del Operator

In mathematics and physics, the gradient and del operator are fundamental concepts used to describe the behavior of functions and fields in space. The gradient is a mathematical operator that gives both the magnitude and direction of the maximum spatial rate of change. Consider a person standing on a mountain. The slope of the mountain at any given point is not defined unless it is quantified in a particular direction. For this reason, a "directional derivative" is defined, which is a vector...
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
Nonlinear Pharmacokinetics: Bioavailability and Protein-Drug Binding01:22

Nonlinear Pharmacokinetics: Bioavailability and Protein-Drug Binding

When a drug follows nonlinear pharmacokinetics, its bioavailability, the amount of the drug that reaches the systemic circulation, can change with different doses. This is due to the presence of a saturable pathway. The pathway becomes saturated as the drug concentration increases, decreasing the absorption rate. Consequently, the drug's bioavailability may be lower than expected at higher doses.
To quantify the extent of bioavailability, pharmacologists often use a parameter called .
Nonlinear Pharmacokinetics: Overview01:19

Nonlinear Pharmacokinetics: Overview

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.
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Nonlinear Pharmacokinetics: Causes of Nonlinearity01:22

Nonlinear Pharmacokinetics: Causes of Nonlinearity

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.
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Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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Related Experiment Video

Updated: May 18, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Published on: February 8, 2014

Specific absorption rate reduction using nonlinear gradient fields.

Emre Kopanoglu1, Ugur Yilmaz, Yildiray Gokhalk

  • 1National Magnetic Resonance Research Center (UMRAM), Bilkent University, Bilkent, Ankara, Turkey.

Magnetic Resonance in Medicine
|September 19, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method using spatially nonlinear gradient fields to reduce specific absorption rates in magnetic resonance imaging, enhancing safety and performance at higher field strengths.

Keywords:
high order gradient fieldsmagnetic resonance imagingnonlinear gradient fieldsspecific absorption rate

Related Experiment Videos

Last Updated: May 18, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Published on: February 8, 2014

Area of Science:

  • Medical Imaging
  • Biophysics
  • Electrical Engineering

Background:

  • Specific absorption rate (SAR) is a critical safety parameter in magnetic resonance imaging (MRI).
  • Increasing field strengths in MRI exacerbate SAR limitations, hindering imaging sequence performance.
  • Current SAR reduction methods, like variable rate selective excitation, modify gradient waveforms over time.

Purpose of the Study:

  • To introduce and evaluate an alternative approach for reducing SAR using gradient fields with nonlinear spatial variations.
  • To analyze the impact of these nonlinear gradient fields on radiofrequency pulse design and excitation profiles.
  • To demonstrate the practical feasibility of this novel SAR reduction technique.

Main Methods:

  • Development of gradient fields with nonlinear spatial variations.
  • Analysis of the relationship between excitation profiles and radiofrequency pulses under these new gradient fields.
  • Demonstration through three distinct radiofrequency pulse design examples.
  • Comparative analysis and integration with the variable rate selective excitation technique.

Main Results:

  • The proposed method effectively reduces specific absorption rate (SAR) by utilizing spatially nonlinear gradient fields.
  • The spatial nonlinearity influences the radiofrequency pulse design, enabling precise control over excitation profiles.
  • Feasibility confirmed via successful radiofrequency pulse designs.
  • The novel approach shows promise for both standalone application and combination with existing techniques.

Conclusions:

  • Gradient fields with nonlinear spatial variations offer a viable alternative for reducing SAR in MRI.
  • This method provides a new strategy to overcome SAR limitations, particularly at higher magnetic field strengths.
  • The technique is compatible with and can be combined with established methods like variable rate selective excitation for enhanced performance.