A laplace transform-based technique for solving multiscale and multidomain problems: Application to a countercurrent hemodialyzer model

Document Type

Article

Publication Date

8-1-2017

Abstract

An integral-based method was employed to evaluate the behavior of a countercurrent hemodialyzer model. Solute transfer from the blood into the dialysate was described by writing mass balance equations over a section of the device. The approach provided Laplace transform concentration profiles on both sides of the membrane. Applications of the final value theorem led to the development of the effective time constants and steady-state concentrations in the exit streams. Transient responses were derived by a numerical inversion algorithm. Simulations show that the period elapsed, before reaching equilibrium in the effluents, decreased when the blood flow rate increased from 0.25 to 0.30 ml/s. The performance index decreased from 0.80 to 0.71 when the blood-to-dialysate flow ratio increased by 20% and increased from 0.80 to 0.85 when this fraction was reduced by 17%. The analytical solution predicted methadone removal in patients undergoing dialysis. Clinicians can use these findings to predict the time required to achieve a target extraction ratio.

Identifier

85020259151 (Scopus)

Publication Title

Computers in Biology and Medicine

External Full Text Location

https://doi.org/10.1016/j.compbiomed.2017.06.004

e-ISSN

18790534

ISSN

00104825

PubMed ID

28601713

First Page

230

Last Page

235

Volume

87

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