Equations describing mass transfer in haemodialysers are discussed and applied to the haemofiltration process. Solutions are obtained in quadratures. In one case, the integral may be performed explicity to give a regular solutions, in spite of the singularity in the equations. A comparison with an approximate description of a haemofilter obtained by neglecting the filtrate flow along the membrane is given, and analytical expressions are derived in the case of low ultrafiltration flows. It is shown that a simple one-dimensional theroy is often sufficient in a determination of the parameters important in clinical applications of haemofilters.

Original languageEnglish
Pages (from-to)59-68
Number of pages10
JournalMathematical Medicine and Biology - A Journal of the Ima
Issue number1
Publication statusPublished - 1987


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