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

✍ Scribed by Pasquale Ciarletta, Thomas Hillen, Hans Othmer, Luigi Preziosi, Dumitru Trucu (auth.), Luigi Preziosi, Mark Chaplain, Andrea Pugliese (eds.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 332
• Series: Lecture Notes in Mathematics 2167
• Edition: 1
• Category: Library

✦ Synopsis

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 use of multiscale methods.Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.

✦ Table of Contents

Front Matter....Pages i-xi
Cell-Based, Continuum and Hybrid Models of Tissue Dynamics....Pages 1-72
The Diffusion Limit of Transport Equations in Biology....Pages 73-129
Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix....Pages 131-210
Mathematical Modeling of Morphogenesis in Living Materials....Pages 211-274
Multiscale Computational Modelling and Analysis of Cancer Invasion....Pages 275-321
Back Matter....Pages 323-324

✦ Subjects

Mathematical and Computational Biology;Biomedicine general;Applications of Mathematics