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Related Concept Videos

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

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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.
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Multicompartment Models: Overview

Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
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Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model01:14

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The link model is a fundamental pharmacokinetic-pharmacodynamic (PK–PD) approach to account for delayed drug responses when the observed effect does not immediately correlate with the drug's plasma concentration peak. This delay is mathematically addressed by introducing an effect compartment concentration, Ce, which is kinetically linked to the plasma concentration, Cp, via a first-order rate constant, ke0. The linkage allows for a more accurate prediction of drug effects over time. A higher...
Fermi Level Dynamics01:12

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
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Transition State Theory

Transition-state theory, also known as activated-complex theory, provides a molecular-level explanation of reaction rates in both gas-phase and solution-phase reactions. It extends earlier kinetic models by considering the formation of a short-lived, high-energy configuration during a reaction.The progress of a chemical reaction can be represented using a reaction profile, which plots potential energy against the reaction coordinate. As two reactant molecules approach one another, their...
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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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Time-dependent Gutzwiller theory for multiband Hubbard models.

E v Oelsen1, G Seibold, J Bünemann

  • 1Institut für Physik, BTU Cottbus, Germany.

Physical Review Letters
|September 10, 2011
PubMed
Summary

We developed a new method using variational Gutzwiller theory to calculate response functions for complex materials. This approach enhances the prediction of ferromagnetism sensitivity in multiband Hubbard models.

Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Theory

Background:

  • Strongly correlated materials exhibit complex electronic behaviors not fully captured by standard approximations.
  • Multiband Hubbard models are crucial for describing these materials, but accurate computation of their response functions remains challenging.

Purpose of the Study:

  • To introduce a novel computational method for response functions in multiband Hubbard models.
  • To improve upon the random-phase approximation by incorporating local multiplet structures.

Main Methods:

  • Utilizing variational Gutzwiller theory.
  • Applying the method to an infinite-dimensional two-band Hubbard model.
  • Incorporating general local Coulomb interactions and local multiplet structure.

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Main Results:

  • The developed method shows improved accuracy over the conventional random-phase approximation.
  • Demonstrated significantly enhanced sensitivity of ferromagnetism to Hund coupling in the studied model.
  • The method is compatible with local-density approximation and Gutzwiller schemes.

Conclusions:

  • The new method provides a powerful tool for calculating response functions in strongly correlated materials.
  • It offers a more nuanced understanding of magnetic properties, particularly ferromagnetism.
  • This approach is expected to advance the study of materials with strong electronic correlations.