Related Experiment Video
Updated: Dec 5, 2025

12:08
Diagonal Method to Measure Synergy Among Any Number of Drugs
Published on: June 21, 2018
19.3K
A foundation for reference models for drug combinations with an application to Loewe's reference model
Wim De Mulder1, Martin Kuiper2
1Department of Biology, NTNU, Realfagbygget, Trondheim, Norway. wim.demulder@kuleuven.be.
BMC Bioinformatics
|October 16, 2020
Summary
This study provides a fundamental basis for Loewe
Area of Science:
- Pharmacology
- Mathematical Biology
- Drug Combinations
Background:
- Synergistic drug combinations are widely used in clinical practice.
- Defining drug non-interaction is crucial for predicting combination effects.
- Loewe's reference model is a long-standing, intuitive model for drug non-interaction.
Purpose of the Study:
- To derive Loewe's reference model from more fundamental principles.
- To introduce novel concepts of complementary and equivalent doses.
- To propose a general non-interaction principle for drug combinations.
Main Methods:
- Introduction of the concept of complementary dose.
- Reformulation of equivalent dose for broader applicability.
- Development of a general non-interaction principle based on dose interplay.
Main Results:
- Loewe's reference model can be derived from fundamental principles.
- A new, general non-interaction principle is established.
- This principle links complementary and equivalent doses.
Conclusions:
- The study enhances understanding of Loewe's reference model.
- A general non-interaction principle is presented, independent of specific dose-response curves.
- This work offers a more robust theoretical framework for analyzing drug interactions.
Related Concept Videos
Pharmacokinetic Models: Comparison and Selection Criterion
247
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.
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.
247
Pharmacokinetic Models: Overview
1.7K
Pharmacokinetic models utilize mathematical analysis to achieve a detailed quantitative understanding of a drug's life cycle within the body. They are instrumental in simulating a drug's pharmacokinetic parameters, predicting drug concentrations over time, optimizing dosage regimens, linking concentrations with pharmacologic activity, and estimating potential toxicity.
There are three primary types of models: empirical, compartment, and physiological. Empirical models, with minimal...
There are three primary types of models: empirical, compartment, and physiological. Empirical models, with minimal...
1.7K
Model Approaches for Pharmacokinetic Data: Compartment Models
383
Compartmental analysis is a widely adopted approach to characterizing drug pharmacokinetics. It uses compartment models that conceptualize the body as a collection of reversibly communicating compartments, each representing a group of tissues exhibiting similar drug distribution characteristics. The movement rate of the drug between these compartments is typically described by first-order kinetics.
Two primary types of compartment models are recognized: mammillary and catenary. The more...
Two primary types of compartment models are recognized: mammillary and catenary. The more...
383
Analysis Methods of Pharmacokinetic Data: Model and Model-Independent Approaches
361
Drug disposition in the body is a complex process and can be studied using two major approaches: the model and the model-independent approaches.
The model approach uses mathematical models to describe changes in drug concentration over time. Pharmacokinetic models help characterize drug behavior in patients, predict drug concentration in the body fluids, calculate optimum dosage regimens, and evaluate the risk of toxicity. However, ensuring that the model fits the experimental data accurately...
The model approach uses mathematical models to describe changes in drug concentration over time. Pharmacokinetic models help characterize drug behavior in patients, predict drug concentration in the body fluids, calculate optimum dosage regimens, and evaluate the risk of toxicity. However, ensuring that the model fits the experimental data accurately...
361
Quantitative Aspects of Drug-Receptor Interaction
1.6K
The receptor occupancy theory connects a drug's response to the number of occupied receptors. With higher drug concentrations, more receptors are occupied, leading to increased responses. The formation of drug-receptor complexes involves association and dissociation rates, which reach equilibrium when the forward and backward reactions are equal. The equilibrium association constant (Ka) and its inverse, the equilibrium dissociation constant (Kd), indicate drug affinity. Higher Ka and lower...
1.6K
Model Approaches for Pharmacokinetic Data: Physiological Models
190
Physiological models in pharmacokinetics are instrumental in understanding the distribution and elimination of drugs within the body. These models describe the drug concentration within target organs, influenced by factors such as drug uptake, tissue volume, and blood flow. Drug uptake is governed by the partition coefficient, which signifies the drug concentration ratio in tissue to that in the blood. The blood flow rate to a specific tissue is expressed as Qt, and the rate of change in tissue...
190

