Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics

Description

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. Front Matter ....Pages i-xvii Introduction to Renal Replacement Therapy (Leszek Pstras, Jacek Waniewski)....Pages 1-19 Integrated Model of Cardiovascular System, Body Fluids and Haemodialysis Treatment: Structure, Equations and Parameters (Leszek Pstras, Jacek Waniewski)....Pages 21-85 Mean Arterial Blood Pressure During Haemodialysis: Sensitivity Analysis and Validation of Mathematical Model Predictions (Leszek Pstras, Jacek Waniewski)....Pages 87-116 Computational Simulations of Patient’s Response to Fluid and Solute Removal by Haemodialysis (Leszek Pstras, Jacek Waniewski)....Pages 117-137 Conclusions, Challenges and Directions for Future Research in Haemodialysis Modelling (Leszek Pstras, Jacek Waniewski)....Pages 139-149 Back Matter ....Pages 151-156