New estimation method for a two-compartment urea kinetic model.

Ono, Junichi; Saiki, Toyonori; Kitano, Yuichi; Fukushima, Tatsuo; Honda, Hiroshi; Osawa, Gengo

doi:10.4009/jsdt.31.1199

Cited by 2 publications

(4 citation statements)

References 3 publications

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“…In order to prove the usefulness of the proposed analytical solution, the solution must be able to reproduce clinical data. Therefore, using the proposed analytical solutions, we attempted to reproduce the clinical data for blood urea concentration during dialysis (240 min) and after dialysis (60 min) for three chronic dialysis patients, as investigated by Ono et al [ 11 ]. Furthermore, the proposed analytical solution was compared with Gotch formula [ 1 ] and Shinzato formula [ 4 ], which are the single-compartment model.…”

Section: Resultsmentioning

confidence: 99%

“…In the present study, we attempt to derive analytical solutions of the mass balance equations, i.e., Equations (17) and (18). Based on the papers [ 10 , 11 , 12 , 13 , 28 ], the extracellular fluid volume and intracellular fluid volume are assumed to maintain a constant ratio:

…”

Section: Theory and Analytical Solutionsmentioning

confidence: 99%

“…We shall derive the two-compartment models from Equations ( 10) and (11). Commonly, the measured toxin concentration from a vein during and after dialysis is considered to be the average concentration, rather than the concentration in an individual organ.…”

Section: Theory and Analytical Solutionsmentioning

confidence: 99%

“…On the other hand, this model was more complicated than the single-compartment model. Some expression formulas [ 8 , 9 , 10 , 11 , 12 , 13 , 14 ] have been proposed as two-compartment models so far, and none were mathematically modeled from mass transfer in the body. Furthermore, in almost these studies, numerical simulation was used to evaluate the blood toxin concentration.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solutions of a Two-Compartment Model Based on the Volume-Average Theory for Blood Toxin Concentration during and after Dialysis

et al. 2021

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Accurate prediction of blood toxin concentration during and after dialysis will greatly contribute to the determination of dialysis treatment conditions. Conventional models, namely single-compartment model and two-compartment model, have advantages and disadvantages in terms of accuracy and practical application. In this study, we attempted to derive the mathematical model that predicts blood toxin concentrations during and after dialysis, which has both accuracy and practicality. To propose the accurate model, a new two-compartment model was mathematically derived by adapting volume-averaging theory to the mass transfer around peripheral tissues. Subsequently, to propose a practical model for predicting the blood toxin concentration during dialysis, an analytical solution expressed as algebraic expression was derived by adopting variable transformation. Furthermore, the other analytical solution that predicts rebound phenomena after dialysis was also derived through similar steps. The comparisons with the clinical data revealed that the proposed analytical solutions can reproduce the behavior of the measured blood urea concentration during and after dialysis. The analytical solutions proposed as algebraic expressions will allow a doctor to estimate the blood toxin concentration of a patient during and after dialysis. The proposed analytical solutions may be useful to consider the treatment conditions for dialysis, including the rebound phenomenon.

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Section: Resultsmentioning

confidence: 99%

…”

Section: Theory and Analytical Solutionsmentioning

confidence: 99%

Section: Theory and Analytical Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical Solutions of a Two-Compartment Model Based on the Volume-Average Theory for Blood Toxin Concentration during and after Dialysis

et al. 2021

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Rapid prototyping of multi-compartment models for urea kinetics in hemodialysis: a System Dynamics approach

Rubin,

Letts,

Richards

et al. 2023

J Artif Organs

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Models of urea kinetics facilitate a mechanistic understanding of urea transfer and provide a tool for optimizing dialysis efficacy. Dual-compartment models have largely replaced single-compartment models as they are able to accommodate the urea rebound on the cessation of dialysis. Modeling the kinetics of urea and other molecular species is frequently regarded as a rarefied academic exercise with little relevance at the bedside. We demonstrate the utility of System Dynamics in creating multi-compartment models of urea kinetics by developing a dual-compartment model that is efficient, intuitive, and widely accessible to a range of practitioners. Notwithstanding its simplicity, we show that the System Dynamics model compares favorably with the performance of a more complex volume-average model in terms of calibration to clinical data and parameter estimation. Its intuitive nature, ease of development/modification, and excellent performance with real-world data may make System Dynamics an invaluable tool in widening the accessibility of hemodialysis modeling.

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New estimation method for a two-compartment urea kinetic model.

Cited by 2 publications

References 3 publications

Analytical Solutions of a Two-Compartment Model Based on the Volume-Average Theory for Blood Toxin Concentration during and after Dialysis

Analytical Solutions of a Two-Compartment Model Based on the Volume-Average Theory for Blood Toxin Concentration during and after Dialysis

Rapid prototyping of multi-compartment models for urea kinetics in hemodialysis: a System Dynamics approach

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