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Mathematical Models and Methods for Living Systems

Levico Terme, Italy 2014

Pasquale Ciarletta, Thomas Hillen, Hans Othmer, Luigi Preziosi, Dumitru Trucu (Autoren)

Luigi Preziosi, Mark Chaplain, Andrea Pugliese (Herausgeber)

Buch | Softcover

XI, 321 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-42678-5 (ISBN)

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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.

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.

Erscheinungsdatum	21.09.2016
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XI, 321 p. 111 illus., 78 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Weitere Themen ► Bioinformatik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Medizin / Pharmazie
Schlagworte	Applications of Mathematics • Biomechanical Modelling • Biomedicine general • Cancer modelling • Cell Migration • Mathematical and Computational Biology • mathematics and statistics • Morphogenesis • multiscale methods
ISBN-10	3-319-42678-8 / 3319426788
ISBN-13	978-3-319-42678-5 / 9783319426785
Zustand	Neuware