Mathematical Modelling

The Wiley–Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.

Authors: Heiliö, M., Lähivaara, T., Laitinen, E., Mantere, T., Merikoski, J., Pohjolainen, S., Raivio, K., Silvennoinen, R., Suutala, A., Tarvainen, T., Tiihonen, T., Tuomela, J., Turunen, E., Vauhkonen, M.
Editors: Pohjolainen, Seppo (Ed.)
Covers the most important classical and modern methods of mathematical modelling
Can be used as textbook or as complimentary material in mathematical modelling courses
Contains 31 project titles as well as 124 problems sets

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.

by Thomas Witelski (Author), Mark Bowen (Author)
Provides a self-contained and accessible introduction to mathematical modelling using ordinary and partial differential equations
Presents key approaches for formulating models and solution techniques via asymptotic analysis
Includes many challenging exercises and connections to classic models in applied mathematics including the Burgers equation, the Korteweg de Vries equation, Euler-Lagrange equations, pattern formation via Turing instabilities
Demonstrates a variety of solution techniques including boundary layer theory, self-similar solutions, fast/slow dynamical systems, and multiple scale analysis

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.