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Related Concept Videos

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...
Physiological Pharmacokinetic Models: Incorporating Hepatic Transporter-Mediated Clearance01:07

Physiological Pharmacokinetic Models: Incorporating Hepatic Transporter-Mediated Clearance

Drug transporters are critical in drug absorption, distribution, and excretion processes. They should be included in physiological-based pharmacokinetic (PBPK) models, which help predict human drug disposition. However, predicting this is challenging during drug development, especially when liver transport is involved. However, with a realistic representation of body transport processes, an accurate model may be possible.
A recent model describes pravastatin's hepatobiliary excretion, mediated...
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...
Hepatitis01:25

Hepatitis

Hepatitis is an inflammatory condition of the liver most commonly caused by hepatotropic viruses (A–E), though non-infectious causes such as alcohol and drugs also exist.Hepatitis AHepatitis A virus (HAV) is a non-enveloped RNA virus of the Picornaviridae family. It is primarily transmitted via the fecal-oral route, typically through ingestion of contaminated food or water. After ingestion, HAV enters the bloodstream through the oropharynx or intestinal epithelium and reaches the liver. The...
Compartment Models: Two-Compartment Model01:20

Compartment Models: Two-Compartment Model

The two-compartment model divides the body into central and peripheral compartments to account for varying blood perfusion rates among organs and tissues, affecting drug distribution. The central compartment includes blood and highly perfused tissues with rapid drug distribution, while the peripheral compartment contains tissues with slower drug distribution. After a single IV bolus dose, the drug concentration is high in plasma and low in tissues. The drug distribution between compartments...
Three-Compartment Open Model01:06

Three-Compartment Open Model

The three-compartment open model is a pharmacokinetic model used to describe the distribution and elimination of drugs following extravascular administration. It comprises a central compartment representing the plasma and two peripheral compartments. The highly perfused peripheral compartment represents organs and tissues with a rich blood supply, such as the liver, kidneys, and lungs. The scarcely perfused peripheral compartment represents tissues with lower blood supply, such as adipose...

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Related Experiment Video

Updated: Jun 26, 2026

Modeling Hepatitis B Virus Infection in Non-Hepatic 293T-NE-3NRs Cells
09:02

Modeling Hepatitis B Virus Infection in Non-Hepatic 293T-NE-3NRs Cells

Published on: June 5, 2020

An HBV model with diffusion and time delay.

Rui Xu1, Zhien Ma

  • 1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, No. 97 Heping West Road, Shijiazhuang 050003, Hebei Province, PR China. rxu88@yahoo.com.cn

Journal of Theoretical Biology
|January 29, 2009
PubMed
Summary
This summary is machine-generated.

This study investigates a hepatitis B virus (HBV) model with spatial spread and a saturated infection rate. The research establishes conditions for the global stability of both infected and uninfected states, crucial for understanding HBV transmission dynamics.

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Last Updated: Jun 26, 2026

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09:02

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Development of a Hepatitis B Virus Reporter System to Monitor the Early Stages of the Replication Cycle
09:35

Development of a Hepatitis B Virus Reporter System to Monitor the Early Stages of the Replication Cycle

Published on: February 1, 2017

Area of Science:

  • Mathematical Biology
  • Epidemiology
  • Virology

Background:

  • Hepatitis B virus (HBV) infection remains a significant global health concern.
  • Understanding HBV transmission dynamics is crucial for developing effective control strategies.
  • Mathematical models are essential tools for analyzing disease spread and stability.

Purpose of the Study:

  • To investigate a mathematical model of hepatitis B virus (HBV) infection.
  • To analyze the impact of spatial diffusion and a saturated infection rate on HBV spread.
  • To determine the conditions for the global stability of infected and uninfected steady states.

Main Methods:

  • Analysis of characteristic equations to assess local stability.
  • Development of comparison arguments for global stability analysis.
  • Utilizing coupled lower-upper solution pairs for stability conditions.
  • Numerical simulations to validate theoretical findings.

Main Results:

  • The uninfected steady state is globally asymptotically stable when the basic reproductive number is less than unity.
  • Sufficient conditions for the global stability of the infected steady state were derived when the basic reproductive number exceeds unity.
  • The model incorporates spatial diffusion and a discrete time delay for the intracellular incubation period.

Conclusions:

  • The study provides a comprehensive analysis of HBV model stability under spatial and saturation effects.
  • The findings offer insights into the long-term dynamics of HBV infection.
  • The mathematical framework can inform public health interventions for hepatitis B control.