# Mathematical Modelling of Haemodialysis

## Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics

Book

1. Front Matter
Pages i-xvii
2. Leszek Pstras, Jacek Waniewski
Pages 1-19
3. Leszek Pstras, Jacek Waniewski
Pages 21-85
4. Leszek Pstras, Jacek Waniewski
Pages 87-116
5. Leszek Pstras, Jacek Waniewski
Pages 117-137
6. Leszek Pstras, Jacek Waniewski
Pages 139-149
7. Back Matter
Pages 151-156

### Introduction

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.

### Keywords

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

#### Authors and affiliations

1. 1.Polish Academy of SciencesNalecz Institute of Biocybernetics and Biomedical EngineeringWarsawPoland
2. 2.Polish Academy of SciencesNalecz Institute of Biocybernetics and Biomedical EngineeringWarsawPoland

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).

### Bibliographic information

• Book Title Mathematical Modelling of Haemodialysis
• Book Subtitle Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics
• Authors Leszek Pstras
Jacek Waniewski
• DOI https://doi.org/10.1007/978-3-030-21410-4
• Copyright Information Springer Nature Switzerland AG 2019
• Publisher Name Springer, Cham
• eBook Packages Biomedical and Life Sciences Biomedical and Life Sciences (R0)
• Hardcover ISBN 978-3-030-21409-8
• Softcover ISBN 978-3-030-21412-8
• eBook ISBN 978-3-030-21410-4
• Edition Number 1
• Number of Pages XVII, 156
• Number of Illustrations 5 b/w illustrations, 38 illustrations in colour
• Topics
• Buy this book on publisher's site
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