Mathematical Models and Methods for Living Systems Levico Terme, Italy 2014 /

• Main Authors: Ciarletta, Pasquale (Author), Hillen, Thomas (Author), Othmer, Hans (Author), Preziosi, Luigi (Editor), Trucu, Dumitru (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Chaplain, Mark (Editor), Pugliese, Andrea (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2167
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Biomathematics.; Mathematical and Computational Biology.; Biomedicine general.; Applications of Mathematics.

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the u...

Table of Contents:

• Preface
• Cell-based, continuum and hybrid models of tissue dynamics
• The Diffusion Limit of Transport Equations in Biology
• Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix
• Mathematical modeling of morphogenesis in living materials
• Multiscale computational modelling and analysis of cancer invasion.