1996
DOI: 10.1177/039139889601900704
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A Simple Mathematical Model of Intradialytic Sodium Kinetics: “in vivo” Validation During Hemodialysis with Constant or Variable Sodium

Abstract: A simple mathematical model of the intradialytic relationship between natraemia and dialysate sodium concentration is presented. The model includes a bicompartmental description of sodium, urea and fluid kinetics and an algebraic characterization of diffusive/convective mass-transfer across the dialysis membrane. Its ability to provide realistic responses has been validated comparing model predictions by a priori parameter tuning against quantities measured during in vivo sessions with both constant and variab… Show more

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Cited by 20 publications
(20 citation statements)
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“…Thus, clinical and the laboratory signs of sodium accumulation were reported in several (but not all) studies. [3,4,9,10,17] Individualization of the sodium profiling with regard to the predialysis plasma sodium concentration was shown to improve fluid balance gain and dialysis-induced symptoms in specific patients. [10,17] An effect on the blood pressure was noted only in patients with uncontrolled hypertension.…”
Section: Discussionmentioning
confidence: 99%
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“…Thus, clinical and the laboratory signs of sodium accumulation were reported in several (but not all) studies. [3,4,9,10,17] Individualization of the sodium profiling with regard to the predialysis plasma sodium concentration was shown to improve fluid balance gain and dialysis-induced symptoms in specific patients. [10,17] An effect on the blood pressure was noted only in patients with uncontrolled hypertension.…”
Section: Discussionmentioning
confidence: 99%
“…[9,10] According to the proposed model, the sodium elimination during dialysis (J Na ) can be expressed as:…”
Section: Methodsmentioning
confidence: 99%
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“…We elaborated the sodium profile beforehand, in relation to the patient’s clinical needs, the individual sodium mass removal, and weight gain, by using the mathematical model suggested by Ursino et al [13]. We also considered the Gibbs-Donnan coefficient for optimization of sodium balance during hemodialysis.…”
Section: Methodsmentioning
confidence: 99%
“…This enabled us to predict a priori the intradialytic time pattern of some variables such as sodium mass removal, plasma sodium concentration and extracellular/intracellular (V e /V i ) volume ratio [1]. This first step of the mathematical model was validated experimentally: the validation showed a good fit between model predictions and in vivo curves of plasma sodium and plasma urea concentrations [1,2].…”
Section: Introductionmentioning
confidence: 99%