Krogh-cylinder and infinite-domain models for washout of an inert diffusible solute from tissue.

ABSTRACT:

Objective

Models based on the Krogh-cylinder concept are developed to analyze the washout from tissue by blood flow of an inert diffusible solute that permeates blood vessel walls. During the late phase of washout, the outflowing solute concentration decays exponentially with time. This washout decay rate is predicted for a range of conditions.

Methods

A single capillary is assumed to lie on the axis of a cylindrical tissue region. In the classic "Krogh-cylinder" approach, a no-flux boundary condition is applied on the outside of the cylinder. An alternative "infinite-domain" approach is proposed that allows for solute exchange across the boundary, but with zero net exchange. Both models are analyzed, using finite-element and analytical methods.

Results

The washout de

SUBMITTER: Secomb TW 

PROVIDER: S-EPMC4286507 | biostudies-literature | 2015 Jan

REPOSITORIES: biostudies-literature