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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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Multicompartment Models: Overview

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Autoregulation mechanisms are characterized by their inherent capacity for self-regulation without necessitating specific nervous stimulation or endocrine control. These mechanisms facilitate the adjustment of blood flow and, therefore, perfusion specific to each tissue region. This self-regulation encompasses chemical signals and myogenic controls.
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Model Approaches for Pharmacokinetic Data: Physiological Models01:15

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Perfusable Vascular Network with a Tissue Model in a Microfluidic Device
07:05

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Published on: April 4, 2018

Parameterisation of multi-scale continuum perfusion models from discrete vascular networks.

Eoin R Hyde1, Christian Michler, Jack Lee

  • 1Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK.

Medical & Biological Engineering & Computing
|January 25, 2013
PubMed
Summary

This study introduces spatial averaging methods to parameterize continuum perfusion models from detailed vascular anatomy. The Huyghe and Van Campen method accurately captures fluid flow in complex vascular networks.

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Area of Science:

  • Biomedical Engineering
  • Computational Biology
  • Fluid Dynamics

Background:

  • Advanced imaging reveals intricate vascular anatomy, but incorporating this into perfusion models is challenging due to complex vessel structures.
  • Previous models often used simplified, periodic networks, which do not reflect real anatomical heterogeneity.

Purpose of the Study:

  • To develop and evaluate spatial averaging methods for parameterizing continuum perfusion models from discrete vascular geometries.
  • To enable accurate fluid flow and perfusion characterization in anatomically realistic vascular networks.

Main Methods:

  • Applied spatial averaging techniques (porosity-scaled isotropic, Huyghe and Van Campen, projected-PCA) to discrete vascular networks.
  • Utilized a multi-compartment Darcy model for fluid flow with vascular scale separation.
  • Derived permeability tensor fields and compared Darcy pressure fields against averaged Poiseuille solutions.

Main Results:

  • The Huyghe and Van Campen method demonstrated superior accuracy in predicting Darcy pressure fields compared to other methods, even with coarse vascular networks.
  • Spatially averaged discrete flux calculations accurately represented inter-compartment volumetric flux across various pressure conditions.

Conclusions:

  • Spatial averaging methods, particularly the Huyghe and Van Campen approach, effectively parameterize continuum Darcy models for perfusion from complex vascular geometries.
  • This work validates the use of continuum flow models for characterizing perfusion in underlying vascular networks, bridging microscale anatomy and macroscale flow behavior.