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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
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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
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Polish Academy of Sciences, Nalecz Institute of Biocybernetics and Biomedical Engineering, Warsaw, Poland
Leszek Pstras, Jacek Waniewski
About the authors
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.
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
Publisher: Springer Cham
eBook Packages: Biomedical and Life Sciences, Biomedical and Life Sciences (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-21409-8Published: 16 July 2019
Softcover ISBN: 978-3-030-21412-8Published: 14 August 2020
eBook ISBN: 978-3-030-21410-4Published: 03 July 2019
Edition Number: 1
Number of Pages: XVII, 156
Number of Illustrations: 5 b/w illustrations, 38 illustrations in colour
Topics: Biomedical Engineering/Biotechnology, Physiological, Cellular and Medical Topics, Biomedical Engineering and Bioengineering, Cardiovascular Biology