Abstract
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 language | English |
|---|---|
| Pages (from-to) | 59-68 |
| Number of pages | 10 |
| Journal | Mathematical Medicine and Biology - A Journal of the Ima |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1987 |
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One-dimensional theory of haemofilters. / Britton, N. F.; Waniewski, J.
In: Mathematical Medicine and Biology - A Journal of the Ima, Vol. 4, No. 1, 1987, p. 59-68.Research output: Contribution to journal › Article
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TY - JOUR
T1 - One-dimensional theory of haemofilters
AU - Britton, N. F.
AU - Waniewski, J.
PY - 1987
Y1 - 1987
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=32644470929&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1093/imammb/4.1.59
U2 - 10.1093/imammb/4.1.59
DO - 10.1093/imammb/4.1.59
M3 - Article
VL - 4
SP - 59
EP - 68
JO - Mathematical Medicine and Biology - A Journal of the Ima
JF - Mathematical Medicine and Biology - A Journal of the Ima
SN - 1477-8599
IS - 1
ER -