Mathematical Modelling of Haemodialysis
Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics
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Beschreibung
Beginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy.Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a useful reference for the study and development of mathematical models of dynamic physiological processes.Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.
Beginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy.Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a usefulreference for the study and development of mathematical models of dynamic physiological processes.Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.
Explores the physiological principles of the short-term cardiovascular baroreflex regulation and the mechanisms of water and solute transport across the human body, providing a detailed description of the proposed model structure, model equations and the associated assumptions Uses model-based simulations to analyse the baroreflex mechanisms, osmotic water shifts, and solutes transport during haemodialysis therapy and to discuss the mechanisms potentially involved in the pathogenesis of intradialytic hypotension or hypertension Provides an up-to-date review of the literature related to the modelled physiological mechanisms and processes, an overview of transport and regulatory mechanisms related to cardiovascular system and body fluids, and a comprehensive example of employing mathematical models to address clinically important issues
Autor*in
Leszek Pstras
Themen in »Mathematical Modelling of Haemodialysis«
renal replacement therapy haemodialysis kidney dialysis baroreflex regulation intradialytic hypotension intradialytic hypertension mathematical models end-stage renal disease ESRD short-term cardiovascular baroreflex regulation transport mechanisms regulatory mechanisms model-based simulations water and solute transport