This book focuses on mathematical models for the integrated fluid dynamics of bodily fluids in humans, including arterial blood, venous blood, interstitial fluid, and cerebrospinal fluid. Emphasis is placed on a holistic approach by integrating all major fluid compartments throughout the human body to replicate their functional and anatomical connectivity. Many of the models and methods presented can be extended to other systems, such as the lymphatic and urinary systems.
The book is based on two master’s courses; a PhD Winter School offered at the University of Trento; lectures given over the years at various universities in several countries, and decades of research on related subjects. The content is organized into 21 chapters, divided into four parts:
I: Elements of Fluid Physiology;
II: Equations, Analysis, and Exact Solutions;
III: Computational Algorithms for Partial Differential Equations
IV: Major Cardiovascular Diseases
This book can be used for teaching computational methods for bodily fluid dynamics to master’s and PhD students, or to advanced undergraduate students in academic departments such as engineering, mathematics, physics, computer science, biology, and medicine. It may also be useful to researchers in universities and research laboratories working in fields such as human fluid physiology, mathematical modelling of bodily fluids, computational biofluid dynamics, numerical analysis of partial differential equations, and cardiovascular diseases.
Computational Bodily Fluid Dynamics: Models, Algorithms and Applications
Eleuterio F. Toro
Springer Nature, August 2025
Language: English
Pages: 889
ISBN-10: 3031925971
ISBN-13: 978-3031925979
