### 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.

Language | English |
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Pages | 59-68 |

Number of pages | 10 |

Journal | Mathematical Medicine and Biology - A Journal of the Ima |

Volume | 4 |

Issue number | 1 |

DOIs | |

Status | Published - 1987 |

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### Cite this

*Mathematical Medicine and Biology - A Journal of the Ima*,

*4*(1), 59-68. DOI: 10.1093/imammb/4.1.59

**One-dimensional theory of haemofilters.** / Britton, N. F.; Waniewski, J.

Research output: Contribution to journal › Article

*Mathematical Medicine and Biology - A Journal of the Ima*, vol 4, no. 1, pp. 59-68. DOI: 10.1093/imammb/4.1.59

}

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

T2 - 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 -