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

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for k_a Estimation

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.
On...

Calculating and Interpreting the Linear Correlation Coefficient

Calculating and Interpreting the Linear Correlation Coefficient

The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable, x, and the dependent variable, y. Hence, it is also known as the Pearson product-moment correlation coefficient. It can be calculated using the following equation:

Linear time-invariant Systems

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...

Drug Concentration Versus Time Correlation

Drug Concentration Versus Time Correlation

The plasma drug concentration-time curve is a crucial tool in pharmacokinetics, representing the drug's concentration in plasma at different time intervals post-administration. This curve illustrates the drug's journey from absorption into the systemic circulation, distribution to body tissues, and eventual elimination through excretion or biotransformation.
Two pivotal parameters are the minimum effective concentration (MEC) and the minimum toxic concentration (MTC). The MEC is the lowest drug...

Extraction: Partition and Distribution Coefficients

Extraction: Partition and Distribution Coefficients

The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an organic...

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

You might also read

Related Articles

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

Sort by

Same author

Small matrix path integral study of excitation energy transfer with distance-dependent electronic coupling.

The Journal of chemical physics·2026

Same author

Small matrix path integral propagation for long-time quantum dynamics of multistate systems in one and two dimensions.

The Journal of chemical physics·2026

Same author

Frustration Protection of Exciton-Vibration Thermodynamics and Transfer.

The journal of physical chemistry letters·2025

Same author

Small matrix path integral in imaginary time.

The Journal of chemical physics·2025

Same author

Quantum dynamics of dissipative two-level systems and intradimer excitation energy transfer in the presence of static disorder.

The Journal of chemical physics·2025

Same author

Discrete Generalized Quantum Master Equations.

Journal of chemical theory and computation·2025

Search research articles

Related Experiment Video

Updated: Jun 7, 2026

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Published on: August 2, 2018

Iterative Monte Carlo formulation of real-time correlation functions.

Cristian O Baltaretu¹, Nancy Makri

¹Department of Chemistry, University of Illinois, Urbana, Illinois 61801, USA.

The Journal of Chemical Physics

|November 2, 2010

Summary

This study introduces an iterative Monte Carlo path integral method for calculating real-time correlation functions. The novel approach accurately computes functions over extended periods with slowly growing statistical errors.

More Related Videos

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Published on: January 30, 2018

Related Experiment Videos

Last Updated: Jun 7, 2026

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Published on: August 2, 2018

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Published on: January 30, 2018

Area of Science:

Quantum mechanics
Computational chemistry
Statistical physics

Background:

Evaluating thermally averaged real-time correlation functions is crucial in quantum systems.
Standard Monte Carlo path integral methods face challenges with accuracy and computational cost over time.

Purpose of the Study:

To develop an efficient and accurate iterative methodology for real-time correlation functions.
To overcome limitations of standard path integral Monte Carlo methods.

Main Methods:

Iterative Monte Carlo path integral methodology.
Sampling paths along the imaginary time contour.
Iterative propagation of the density matrix using energy filtering and minimally oscillatory propagators.

Main Results:

A single propagation step yields correlation function values at all intermediate time points.
Accurate results are obtained over several oscillation periods.
Statistical error grows slowly with increasing propagation time.

Conclusions:

The presented iterative method offers an accurate and efficient approach for calculating real-time correlation functions.
This methodology is suitable for complex quantum systems where time evolution is critical.