Fluid Transport in Peritoneal Dialysis: A Mathematical Model and Numerical Solutions View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2007

AUTHORS

Roman Cherniha , Vasyl’ Dutka , Joanna Stachowska-Pietka , Jacek Waniewski

ABSTRACT

A mathematical model of water flow between dialysis fluid in the peritoneal cavity and blood through the capillary wall and homogeneous interstitium driven by high hydrostatic and osmotic pressure of dialysis fluid is formulated. The model is based on nonlinear equations of reaction-diffusion-convection type. Numerical simulations provide the distribution profiles for hydrostatic pressure, glucose concentration, and water flux in the tissue for different times from the infusion of dialysis fluid into the peritoneal cavity for different transport parameters that represent clinical treatments of peritoneal dialysis. More... »

PAGES

281-288

Book

TITLE

Mathematical Modeling of Biological Systems

ISBN

978-0-8176-4557-1

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-0-8176-4558-8_25

DOI

http://dx.doi.org/10.1007/978-0-8176-4558-8_25

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1044218060


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