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Mathematics - Dynamical Systems & Differential Equations | The Respiratory System in Equations

The Respiratory System in Equations

Series: MS&A, Vol. 7

Maury, Bertrand

2013, XVII, 276 p.

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  • Numerous exercises helping the reader to learn quickly
  • Online programs allowing the reader to perform his own computations
  • No prior knowledge on physiology required
The book proposes an introduction to the mathematical modeling of the respiratory system. A detailed introduction on the physiological aspects makes it accessible to a large audience without any prior knowledge on the lung. Different levels of description are proposed, from the lumped models with a small number of parameters (Ordinary Differential Equations), up to infinite dimensional models based on Partial Differential Equations.
Besides these two types of differential equations, two chapters are dedicated to resistive networks, and to the way they can be used to investigate the dependence of the resistance of the lung upon geometrical characteristics.
The theoretical analysis of the various models is provided, together with state-of-the-art techniques to compute approximate solutions, allowing comparisons with experimental measurements. The book contains several exercises, most of which are accessible to advanced undergraduate students.

Content Level » Graduate

Keywords » Fluid mechanics - Modeling - Resistive trees - Respiratory system

Related subjects » Classical Continuum Physics - Dynamical Systems & Differential Equations - Internal Medicine - Theoretical Computer Science

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