ArticlePloS one2023
Mathematical modelling of bicarbonate supplementation and acid-base chemistry in kidney failure patients on hemodialysis.
Article in PloS one, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed, 7 citations in OpenAlex.
- Mathematical modeling of peritoneal buffer transport and acidosis correction in patients on peritoneal dialysis.Scientific reports · 2026Article
- A thermodynamically consistent approach to modeling epithelial solute and water transport in the proximal convoluted tubule.Journal of biological physics · 2026Article
- Fractal-fractional modeling of chronic myelogenous leukemia immune dynamics using Laguerre wavelets method.Scientific reports · 2026Article
- Mathematical model for evaluating bicarbonate and lactate kinetics in metformin-associated lactic acidosis.Intensive care medicine experimental · 2024Article
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Acid-base regulation by the kidneys is largely missing in end-stage renal disease patients undergoing hemodialysis (HD). Bicarbonate is added to the dialysis fluid during HD to replenish the buffers in the body and neutralize interdialytic acid accumulation. Predicting HD outcomes with mathematical models can help select the optimal patient-specific dialysate composition, but the kinetics of bicarbonate are difficult to quantify, because of the many factors involved in the regulation of the bicarbonate buffer in bodily fluids. We implemented a mathematical model of dissolved CO2 and bicarbonate transport that describes the changes in acid-base equilibrium induced by HD to assess the kinetics of bicarbonate, dissolved CO2, and other buffers not only in plasma but also in erythrocytes, interstitial fluid, and tissue cells; the model also includes respiratory control over the partial pressures of CO2 and oxygen. Clinical data were used to fit the model and identify missing parameters used in theoretical simulations. Our results demonstrate the feasibility of the model in describing the changes to acid-base homeostasis typical of HD, and highlight the importance of respiratory regulation during HD.
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