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Related Concept Videos

Pharmacokinetic Models: Comparison and Selection Criterion01:26

Pharmacokinetic Models: Comparison and Selection Criterion

Physiological and compartmental models are valuable tools used in studying biological systems. These models rely on differential equations to maintain mass balance within the system, ensuring an accurate representation of the dynamic processes at play.
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
Pharmacodynamic Models: Overview01:27

Pharmacodynamic Models: Overview

Pharmacodynamic (PD) responses describe the interaction between a drug and its biological target, culminating in a physiological effect. These responses can be classified into different types: continuous variables, such as blood glucose levels; categorical outcomes, like survival rates; and time-to-event metrics, such as disease progression. Understanding and modeling PD responses are critical for optimizing drug efficacy and safety.PD models describe the relationship between drug concentration...
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model01:14

Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model

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...
Typical Model Studies01:30

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
Multicompartment Models: Overview01:14

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.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...

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Related Experiment Video

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Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
09:20

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Published on: February 13, 2021

Comparing hemodynamic models with DCM.

Klaas Enno Stephan1, Nikolaus Weiskopf, Peter M Drysdale

  • 1Wellcome Trust Centre for Neuroimaging, Institute of Neurology, University College London, 12 Queen Square, London WC1N 3BG, UK, and Brain Dynamics Center, Westmead Millenium Institute, Westmead Hospital, NSW, Australia. k.stephan@fil.ion.ucl.ac.uk

Neuroimage
|September 22, 2007
PubMed
Summary
This summary is machine-generated.

This study compares different models of blood oxygen level-dependent (BOLD) responses in functional MRI (fMRI). The best model for empirical BOLD data is non-linear with revised coefficients and a free parameter for signal ratios.

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Area of Science:

  • Neuroimaging
  • Biophysics
  • Computational Neuroscience

Background:

  • The Buxton model provides a biophysically plausible framework for blood oxygen level-dependent (BOLD) responses.
  • This model is crucial for hemodynamic forward models in dynamic causal modeling (DCM) of fMRI data.
  • Previous work by Obata et al. linearized the BOLD signal equation and proposed revised model coefficients.

Purpose of the Study:

  • To determine the best formulation of the BOLD signal equation for empirically measured BOLD responses.
  • To compare classical and revised hemodynamic models within a dynamic causal modeling (DCM) framework.
  • To investigate the impact of different model variants on the analysis of functional interactions.

Main Methods:

  • Developed a generalized hemodynamic model encompassing classical and revised Buxton models.
  • Embedded variants of the BOLD signal equation into a DCM of visual cortex functional interactions.
  • Employed Bayesian model selection to compare eight different hemodynamic models with factorial variations.

Main Results:

  • Demonstrated that classical and revised models are special cases of the generalized model.
  • Identified a non-linear model with revised coefficients and a free parameter (epsilon) as superior.
  • Found that treating epsilon as a free parameter improved model fit for fMRI data.

Conclusions:

  • The best model for empirical BOLD responses is non-linear with revised coefficients and a free parameter.
  • This generalized framework allows for more accurate modeling of hemodynamic responses in fMRI.
  • Findings advance the understanding of effective connectivity analysis using DCM.