?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F338%2F&rft.title=Sodium+Flux+during+Haemodialysis&rft.creator=Tilley%2C+B.+S.&rft.subject=Medical+and+pharmaceutical&rft.description=Dialysis+is+aimed+at+the+removal+of+charged+ionic+species+in+the+blood+that+arise+from+complications+in+kidney+disease.+Although+the+process+for+the+removal+of+urea+and+other+unwanted+charged+species+is+understood%2C+the+effect+of+this+removal+on+the+net+sodium+concentration+in+the+blood+after+treatment+is+not+clear.+In+this+report%2C+we+focus+on+formulating+a+fundamentally-based+model+to+address+this+question.+We+consider+the+formulation+near+the+membrane+at+the+pore+scale+in+order+to+determine+effective+jump+conditions+in+ionic+concentrations%2C+electric+potential+and+flow+rate+based+on+the+membrane+properties%2C+and+in+order+to+determine+whether+electroneutrality+holds+within+the+pore.+Secondly%2C+we+consider+the+local+blood-cell+concentration+within+one+of+the+fibres+and+how+this+varies+axially+within+the+dialysis+cartridge.+Lastly%2C+we+consider+a+simple+one-dimensional+model+of+the+charged+species+problem+and+find+that+advection+transport+through+the+membrane+is+important+for+sodium+transport%2C+but+less+pertinent+for+transport+of+other+cation+species.&rft.date=2009&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F338%2F1%2FHaemodialysis.pdf&rft.identifier=++Tilley%2C+B.+S.++(2009)+Sodium+Flux+during+Haemodialysis.++%5BStudy+Group+Report%5D+++++