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Mathematical Modelling of Haemodialysis

Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics

Authors: Pstras, Leszek, Waniewski, Jacek

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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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eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-21410-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-21409-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-21412-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

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.


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).

Table of contents (5 chapters)

Table of contents (5 chapters)
  • Introduction to Renal Replacement Therapy

    Pages 1-19

    Pstras, Leszek (et al.)

  • Integrated Model of Cardiovascular System, Body Fluids and Haemodialysis Treatment: Structure, Equations and Parameters

    Pages 21-85

    Pstras, Leszek (et al.)

  • Mean Arterial Blood Pressure During Haemodialysis: Sensitivity Analysis and Validation of Mathematical Model Predictions

    Pages 87-116

    Pstras, Leszek (et al.)

  • Computational Simulations of Patient’s Response to Fluid and Solute Removal by Haemodialysis

    Pages 117-137

    Pstras, Leszek (et al.)

  • Conclusions, Challenges and Directions for Future Research in Haemodialysis Modelling

    Pages 139-149

    Pstras, Leszek (et al.)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-21410-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-21409-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-21412-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modelling of Haemodialysis
Book Subtitle
Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-21410-4
DOI
10.1007/978-3-030-21410-4
Hardcover ISBN
978-3-030-21409-8
Softcover ISBN
978-3-030-21412-8
Edition Number
1
Number of Pages
XVII, 156
Number of Illustrations
5 b/w illustrations, 38 illustrations in colour
Topics