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Related Concept Videos

Pharmacodynamic Models: Direct Effect Model and Indirect Response Model01:29

Pharmacodynamic Models: Direct Effect Model and Indirect Response Model

Pharmacodynamic models are essential tools in understanding the relationship between drug concentrations and their effects on biological systems. By characterizing the dynamics of drug action, these models guide dose selection, optimize therapeutic efficacy, and inform the development of new drugs. Two major classes of pharmacodynamic models include direct effect and indirect response models.Direct Effect ModelsDirect effect models describe the immediate relationship between drug concentration...
Pharmacodynamic Models: Additive and Proportional Drug Effect Model01:09

Pharmacodynamic Models: Additive and Proportional Drug Effect Model

Drug response models describe how pharmacological agents interact with biological systems to produce measurable effects. Baseline responses are inherent physiological activities without a drug significantly influencing the observed pharmacological outcomes. Depending on the drug response model employed, these baseline responses may combine with the drug's effect in either an additive or proportional manner.Additive Drug Response ModelIn the additive model, the drug effect is independent of the...
Pharmacodynamic Models: Emax Drug–Concentration Effect Model01:18

Pharmacodynamic Models: Emax Drug–Concentration Effect Model

The Emax drug-concentration effect model is central to pharmacodynamics in drug discovery and development. This model is predicated on the receptor occupancy theory, which posits that the effect of a drug is directly related to the number of receptors occupied by the drug and the resultant complex formation.The model describes the reversible interaction between a drug (C) and a receptor (R) to form a drug-receptor complex (RC). The kinetics of this interaction are quantified by an equation that...
Pharmacodynamic Models: Linear Concentration–Effect Model01:15

Pharmacodynamic Models: Linear Concentration–Effect Model

The linear concentration–effect model, underpinned by the principle that pharmacological effect (E) is directly proportional to plasma drug concentration (C), emerges as a pivotal simplification of the Emax model for conditions where C is significantly less than EC50. This model portrays a linear trajectory of the concentration–effect relationship when drug levels are markedly below the EC50 threshold.Despite its inherent assumption of continuous effect augmentation with increasing drug...
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...
Pharmacodynamic Models: Logarithmic Concentration–Effect Model01:15

Pharmacodynamic Models: Logarithmic Concentration–Effect Model

The log-linear model is a pharmacological framework used to describe the relationship between drug concentration and its effect. This model is particularly relevant when the observed effects range between 20% and 80% of the drug’s maximum effect (Emax), where a near-linear relationship is observed between the log of drug concentration and the measured effect. However, the log-linear model does not predict the maximum possible effect (Emax) or the effect at zero drug concentration, limiting its...

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

Published on: July 3, 2020

Direct effect models.

Mark J van der Laan1, Maya L Petersen

  • 1University of California, Berkeley, CA, USA.

The International Journal of Biostatistics
|April 3, 2012
PubMed
Summary
This summary is machine-generated.

This study defines and estimates the natural direct effect of treatments, which is the causal effect not explained by intermediate variables. The new method relies only on the sequential randomization assumption for accurate estimation.

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Measuring Delay Discounting in Humans Using an Adjusting Amount Task
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Last Updated: May 23, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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Published on: July 3, 2020

Measuring Delay Discounting in Humans Using an Adjusting Amount Task
07:47

Measuring Delay Discounting in Humans Using an Adjusting Amount Task

Published on: January 9, 2016

Area of Science:

  • Causal inference
  • Epidemiology
  • Biostatistics

Background:

  • Causal effects are often mediated by intermediate variables.
  • Understanding direct effects is crucial for mechanistic insights and interventions.
  • Existing definitions of natural direct effects require assumptions beyond sequential randomization.

Purpose of the Study:

  • To provide an alternative counterfactual definition of the natural direct effect.
  • To develop an estimation approach for the natural direct effect based solely on the sequential randomization assumption.
  • To propose novel estimators for direct effect modeling.

Main Methods:

  • Developed an alternative counterfactual definition for natural direct effect.
  • Proposed a novel modeling approach for direct effect estimation.
  • Introduced inverse probability of censoring weighted (IPCW), double robust IPCW, likelihood-based, and targeted maximum likelihood-based estimators.

Main Results:

  • The proposed definition of natural direct effect is identifiable under the sequential randomization assumption.
  • The novel estimation approach allows direct modeling of the natural direct effect.
  • Various robust and efficient estimators are presented for the causal model parameters.

Conclusions:

  • This work offers a new definition and estimation strategy for natural direct effects in causal inference.
  • The methods presented relax stringent identifiability assumptions, enhancing applicability.
  • The proposed estimators provide robust tools for analyzing direct causal pathways.