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MATHEMATICAL MODELS AND METHODS APPLIED TO PHYSIOLOGY

MATHEMATICAL MODELS AND METHODS APPLIED TO PHYSIOLOGY





 
   
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Titolo: MATHEMATICAL MODELS AND METHODS APPLIED TO PHYSIOLOGY
Autore: L. Mesin
Data di Pubblicazione: 2012
ISBN: 9788879923248
Pagine: 396
Errata Corrige: no
Note:

This work was developed on the basis of different courses on Mathematical Models of Physiological Systems proposed at Politecnico di Torino for Applied Mathematicians and Biomedical Engineering students.
The book can be divided in two main portions:
1) a description of classical Mathematical Physiology, largely based on the book of J. P. Keener and J. Sneyd (Mathematical Physiology, Springer, 1998), divided into cellular physiology (Part I) and system physiology (Part II);
2) a collection of results taken from the recent literature on specific problems.
The book does not pretend to be exhaustive, but the topics are chosen with the attempt to discuss many different physiological applications (cellular and system physiology, discussing many different topics of Mathematical Biology and Physiology) and to introduce many different mathematical models and techniques (e.g., ordinary and partial differential equations, Fourier transform, shock waves, delay differential equations, numerical simulations, perturbation methods).
All topics are explained by a basic introduction to the physiology of the system under study and a description of the mathematical models and methods (analytical or numerical) useful to extract information.
Theory is discussed very shortly, but is self-contained, without requiring knowledge of advanced Mathematics.



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