An effective time-constant algorithm for drug transport to capillaries and surrounding tissues

Document Type

Article

Publication Date

10-1-2017

Abstract

Expressions for a single time constant were developed in Maple (Waterloo Maple, Inc.) to calculate the rate at which a drug reaches steady-state levels in the blood capillaries and neighboring tissues. The solute concentration in the capillary region was represented by a one-dimensional convection-diffusion model. In a first case study, the plasma and the tissue reached equilibrium very quickly. Within the dynamic regime, the amount of drugs collected in both compartments increased with the Peclet number while the relaxation time to a steady-state value decreased. A similar conclusion was drawn, in a second case study, when axial and radial diffusive transports were considered important in the lungs or the skin. Also, as the mass transfer Biot number decreased, a larger amount of medication was delivered to the tissue at a given time during the transient period. Additional applications of the approach included the analysis of oxygen transport in peripheral nerves and the design of hollow fibre bioreactors.

Identifier

85026672811 (Scopus)

Publication Title

Computers in Biology and Medicine

External Full Text Location

https://doi.org/10.1016/j.compbiomed.2017.07.024

e-ISSN

18790534

ISSN

00104825

PubMed ID

28779597

First Page

24

Last Page

30

Volume

89

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