Modelling crystal aggregation and deposition in the catheterised lower urinary tract.

Urethral catheters often become encrusted with crystals of magnesium struvite and calcium phosphate. The encrustation can block the catheter, which can cause urine retention in the bladder and reflux into the kidneys. We develop a mathematical model to investigate crystal deposition on the catheter...

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Hlavní autoři: Band, L, Cummings, L, Waters, S, Wattis, J
Médium: Journal article
Jazyk:English
Vydáno: 2009
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author Band, L
Cummings, L
Waters, S
Wattis, J
author_facet Band, L
Cummings, L
Waters, S
Wattis, J
author_sort Band, L
collection OXFORD
description Urethral catheters often become encrusted with crystals of magnesium struvite and calcium phosphate. The encrustation can block the catheter, which can cause urine retention in the bladder and reflux into the kidneys. We develop a mathematical model to investigate crystal deposition on the catheter surface, modelling the bladder as a reservoir of fluid and the urethral catheter as a rigid channel. At a constant rate, fluid containing crystal particles of unit size enters the reservoir, and flows from the reservoir through the channel and out of the system. The crystal particles aggregate, which we model using Becker-Döring coagulation theory, and are advected through the channel, where they continue to aggregate and are deposited on the channel's walls. Inhibitor particles also enter the reservoir, and can bind to the crystals, preventing further aggregation and deposition. The crystal concentrations are spatially homogeneous in the reservoir, whereas the channel concentrations vary spatially as a result of advection, diffusion and deposition. We investigate the effect of inhibitor particles on the amount of deposition. For all parameter values, we find that crystals deposit along the full length of the channel, with maximum deposition close to the channel's entrance.
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spelling oxford-uuid:c34e1ce8-a027-44b1-9c89-8d16b9baf2a72022-03-27T06:15:32ZModelling crystal aggregation and deposition in the catheterised lower urinary tract.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c34e1ce8-a027-44b1-9c89-8d16b9baf2a7EnglishSymplectic Elements at Oxford2009Band, LCummings, LWaters, SWattis, JUrethral catheters often become encrusted with crystals of magnesium struvite and calcium phosphate. The encrustation can block the catheter, which can cause urine retention in the bladder and reflux into the kidneys. We develop a mathematical model to investigate crystal deposition on the catheter surface, modelling the bladder as a reservoir of fluid and the urethral catheter as a rigid channel. At a constant rate, fluid containing crystal particles of unit size enters the reservoir, and flows from the reservoir through the channel and out of the system. The crystal particles aggregate, which we model using Becker-Döring coagulation theory, and are advected through the channel, where they continue to aggregate and are deposited on the channel's walls. Inhibitor particles also enter the reservoir, and can bind to the crystals, preventing further aggregation and deposition. The crystal concentrations are spatially homogeneous in the reservoir, whereas the channel concentrations vary spatially as a result of advection, diffusion and deposition. We investigate the effect of inhibitor particles on the amount of deposition. For all parameter values, we find that crystals deposit along the full length of the channel, with maximum deposition close to the channel's entrance.
spellingShingle Band, L
Cummings, L
Waters, S
Wattis, J
Modelling crystal aggregation and deposition in the catheterised lower urinary tract.
title Modelling crystal aggregation and deposition in the catheterised lower urinary tract.
title_full Modelling crystal aggregation and deposition in the catheterised lower urinary tract.
title_fullStr Modelling crystal aggregation and deposition in the catheterised lower urinary tract.
title_full_unstemmed Modelling crystal aggregation and deposition in the catheterised lower urinary tract.
title_short Modelling crystal aggregation and deposition in the catheterised lower urinary tract.
title_sort modelling crystal aggregation and deposition in the catheterised lower urinary tract
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AT cummingsl modellingcrystalaggregationanddepositioninthecatheterisedlowerurinarytract
AT waterss modellingcrystalaggregationanddepositioninthecatheterisedlowerurinarytract
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