Mathematical Models and Methods for Living Systems
Levico Terme, Italy 2014
Published on 9. November 2016
XI, 321 pages
978-3-319-42679-2 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XI, 321 p. 111 illus., 78 illus. in color.
File size
10,08 MB
ISBN-13
978-3-319-42679-2 (9783319426792)
DOI
10.1007/978-3-319-42679-2
Schweitzer Classification
Other editions
Additional editions
Pasquale Ciarletta | Thomas Hillen | Hans Othmer
Mathematical Models and Methods for Living Systems
Levico Terme, Italy 2014
Book
11/2016
Springer
€80.24
Shipment within 10-15 days
Persons
Content
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.
