A mathematical analysis of a two-compartment model of urea kinetics. 1995

S W Smye, and E J Will
Department of Medical Physics, St James's University Hospital, Leeds, UK.

A model of urea distribution comprising well-mixed intracellular and extracellular compartments, with diffusive transfer of urea between compartments, is used to study blood urea variation during haemodialysis. Assuming that a typical adult patient (weight 70 kg and urea generation rate 5 mg min-1) is dialysed using a high-efficiency dialyser (urea clearance 0.2- 0.251 min-1) at an ultrafiltration rate of 10 ml min-1, it is shown that a perturbation analysis can account for the effects of ultrafiltration and urea generation. This permits an analytical solution of the equations which describe the variation in solute concentration in each of the compartments, which may be compared with the solution obtained when urea generation and ultrafiltration are neglected. For a typical adult patient with urea distribution volume in the range 25-40 l undergoing high-efficiency haemodialysis, the analysis suggests that the contribution of ultrafiltration to the variation in urea concentration during dialysis is similar in magnitude to the experimental errors in measuring the blood concentration of urea and that a constant volume model will be sufficiently accurate to describe urea clearance in many patients.

UI MeSH Term Description Entries
D007700 Kinetics The rate dynamics in chemical or physical systems.
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D006435 Renal Dialysis Therapy for the insufficient cleansing of the BLOOD by the kidneys based on dialysis and including hemodialysis, PERITONEAL DIALYSIS, and HEMODIAFILTRATION. Dialysis, Extracorporeal,Dialysis, Renal,Extracorporeal Dialysis,Hemodialysis,Dialyses, Extracorporeal,Dialyses, Renal,Extracorporeal Dialyses,Hemodialyses,Renal Dialyses
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000328 Adult A person having attained full growth or maturity. Adults are of 19 through 44 years of age. For a person between 19 and 24 years of age, YOUNG ADULT is available. Adults
D001703 Biophysics The study of PHYSICAL PHENOMENA and PHYSICAL PROCESSES as applied to living things. Mechanobiology
D014508 Urea A compound formed in the liver from ammonia produced by the deamination of amino acids. It is the principal end product of protein catabolism and constitutes about one half of the total urinary solids. Basodexan,Carbamide,Carmol
D055592 Biophysical Phenomena The physical characteristics and processes of biological systems. Biophysical Concepts,Biophysical Processes,Biophysical Phenomenon,Biophysical Process,Biophysical Concept,Concept, Biophysical,Concepts, Biophysical,Phenomena, Biophysical,Phenomenon, Biophysical,Process, Biophysical,Processes, Biophysical

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