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		<identifier>oai:zbc.uz.zgora.pl:78992</identifier>
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<dc:title xml:lang="pl"><![CDATA[A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis]]></dc:title>
<dc:creator><![CDATA[Cherniha, Roman]]></dc:creator>
<dc:creator><![CDATA[Stachowska-Piętka, Joanna]]></dc:creator>
<dc:creator><![CDATA[Waniewski, Jacek]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[fluid transport]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[transport in peritoneal dialysis]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[nonlinear partial differential equation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[ordinary differential equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[steady-state solution]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[A mathematical model for fluid and solute transport in peritoneal dialysis is constructed. The model is based on a three-component nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport with the relevant boundary and initial conditions.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[Our aim is to model ultrafiltration of water combined with inflow of glucose to the tissue and removal of albumin from the body during dialysis, by finding the spatial distributions of glucose and albumin concentrations as well as hydrostatic pressure. The model is developed in one spatial dimension approximation, and a governing equation for each of the variables is derived from physical principles. Under some assumptions the model can be simplified to obtain exact formulae for spatially non-uniform steady-state solutions.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[As a result, the exact formulae for fluid fluxes from blood to the tissue and across the tissue are constructed, together with two linear autonomous ODEs for glucose and albumin concentrations in the tissue. The obtained analytical results are checked for their applicability for the description of fluid-glucose-albumin transport during peritoneal dialysis.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2014]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/78992/AMCS_2014_24_4_11.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88823/edition/78992/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:78992]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 24, number 4 (2014)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=59]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88823]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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