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Nonlinear Pharmacokinetics: Causes of Nonlinearity01:22

Nonlinear Pharmacokinetics: Causes of Nonlinearity

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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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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...
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Introduction to Nonlinear Inequalities01:25

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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...
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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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When light passes through a substance, a portion of the light is absorbed while the remaining light is reflected or transmitted. If the molecule absorbs light between the wavelengths of 180–400 nm range, the UV spectrum is obtained, and if it absorbs light in the 400–780 nm wavelength range, the visible spectrum is obtained.     
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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.
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Ba4B8TeO19: A UV Nonlinear Optical Material.

Lili Liu1, Joshua Young2, Manuel Smeu2

  • 1Department of Chemistry , University of Houston , 112 Fleming Building , Houston , Texas 77204 , United States.

Inorganic Chemistry
|April 4, 2018
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Summary
This summary is machine-generated.

A new barium tellurium borate, Ba4B8TeO19, shows promise for ultraviolet nonlinear optical (NLO) applications due to its phase-matchable properties and moderate second harmonic generation response.

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Area of Science:

  • Materials Science
  • Solid State Chemistry
  • Crystallography

Background:

  • Noncentrosymmetric materials are crucial for nonlinear optical (NLO) applications.
  • Barium borates and tellurates are known for their NLO properties.
  • Exploring novel compositions is key to discovering advanced NLO materials.

Purpose of the Study:

  • To synthesize and characterize a new noncentrosymmetric barium tellurium borate, Ba4B8TeO19.
  • To investigate its potential for ultraviolet (UV) nonlinear optical (NLO) applications.
  • To understand the origin of its NLO properties through theoretical calculations.

Main Methods:

  • Flux method for synthesis.
  • X-ray diffraction for crystal structure determination (space group Cc).
  • Second harmonic generation (SHG) measurements at 1064 and 532 nm.
  • UV-Vis absorption spectroscopy.
  • Density functional theory (DFT) calculations for electronic structure and optical properties.

Main Results:

  • Ba4B8TeO19 crystallizes in the noncentrosymmetric space group Cc.
  • The material exhibits a framework structure of [B8O17]∞ double layers connected to TeO6 octahedra.
  • Moderate, phase-matchable (type I) SHG response: 1x KH2PO4 at 1064 nm and 0.2x beta-BaB2O4 at 532 nm.
  • Short absorption edge at 210 nm, indicating UV transparency.
  • Moderate birefringence (0.055 at 1064 nm, 0.059 at 532 nm).

Conclusions:

  • Ba4B8TeO19 is a promising new material for UV NLO applications.
  • Its NLO response originates from O 2p and Te 5s states.
  • The observed birefringence and phase-matchability are suitable for UV NLO devices.