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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...
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Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
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...
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...
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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...
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Related Experiment Video

Updated: Jul 8, 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

Dynamics of an HBV model with diffusion and delay.

Kaifa Wang1, Wendi Wang, Shiping Song

  • 1Department of Mathematics, College of Medicine, Third Military Medical University, Chongqing 400038, PR China. kaifawang@yahoo.com.cn

Journal of Theoretical Biology
|December 25, 2007
PubMed
Summary

This study models hepatitis B virus (HBV) infection dynamics using a diffusion model with intracellular time delays. Analysis reveals how diffusion and time delays impact HBV spread in finite, homogeneous, and inhomogeneous environments.

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Modeling Hepatitis B Virus Infection in Non-Hepatic 293T-NE-3NRs Cells
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Detection of Low Copy Number Integrated Viral DNA Formed by In Vitro Hepatitis B Infection
11:14

Detection of Low Copy Number Integrated Viral DNA Formed by In Vitro Hepatitis B Infection

Published on: November 7, 2018

Area of Science:

  • Mathematical Biology
  • Virology
  • Epidemiology

Background:

  • Hepatitis B virus (HBV) infection poses a significant global health challenge.
  • Understanding HBV infection dynamics is crucial for developing effective control strategies.
  • Intracellular processes and spatial spread influence viral pathogenesis.

Purpose of the Study:

  • To model and analyze HBV infection within a finite spatial domain.
  • To investigate the impact of intracellular time delays on HBV infection dynamics.
  • To explore the combined effects of diffusion and time delays in both homogeneous and inhomogeneous environments.

Main Methods:

  • Development of a mathematical diffusion model for HBV infection.
  • Analytical determination of equilibrium solutions in homogeneous spaces.
  • Stability analysis of equilibrium solutions.
  • Computational simulations to study effects in inhomogeneous spaces.

Main Results:

  • Equilibrium solutions for HBV infection were derived.
  • Stability of these solutions was analyzed under homogeneous conditions.
  • Computer simulations demonstrated the influence of diffusion and intracellular time delay on HBV spread in inhomogeneous settings.

Conclusions:

  • The study provides insights into the mathematical modeling of HBV infection.
  • Intracellular time delays and spatial diffusion are critical factors affecting HBV spread.
  • The findings contribute to a better understanding of HBV pathogenesis and control.