ArticleJournal of mathematical biology2023
Analytical solution of phosphate kinetics for hemodialysis.
Article in Journal of mathematical biology, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed, 3 citations in OpenAlex.
- Mathematical models for phosphate kinetics in patients on maintenance hemodialysis.Scientific reports · 2025Article
- Evaluation of a phosphate kinetics model in hemodialysis therapy-Assessment of the temporal robustness of model predictions.Physiological reports · 2023Article
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Authors and funding
4 authors at 3 institutions in 1 country.
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Abstract
Chronic kidney diseases imply an ongoing need to remove toxins, with hemodialysis as the preferred treatment modality. We derive analytical expressions for phosphate clearance during dialysis, the single pass (SP) model corresponding to a standard clinical hemodialysis and the multi pass (MP) model, where dialysate is recycled and therefore makes a smaller clinical setting possible such as a transportable dialysis suitcase. For both cases we show that the convective contribution to the dialysate is negligible for the phosphate kinetics and derive simpler expressions. The SP and MP models are calibrated to clinical data of ten patients showing consistency between the models and provide estimates of the kinetic parameters. Immediately after dialysis a rebound effect is observed. We derive a simple formula describing this effect which is valid both posterior to SP or MP dialysis. The analytical formulas provide explanations to observations of previous clinical studies.
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