Mathematical Modelling of Haemodialysis

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

Auteur

Leszek Pstras is an Assistant Professor at the Laboratory of Mathematical Modelling of Physiological Processes at the Nalecz Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences. His research focuses on mathematical modelling of cardiovascular short-term regulatory mechanisms as well as fluid and solute transport kinetics during haemodialysis therapy.

Jacek Waniewski is a Professor of Biomedical Engineering and the Chairman of the Scientific Council at the Nalecz Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences. His research focuses on mathematical modelling of membrane transport in medicine and biomedical engineering with a special interest in modelling transport processes during renal replacement therapies (both haemodialysis and peritoneal dialysis).

Contenu

Introduction to renal replacement therapies and mathematical modelling in physiology.- Mathematical modelling in physiology.- Model structure, equations and parameters.- Model analysis and validation.- Simulation results and model outcomes.- Conclusions, challenges and future research directions. <p