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

Mathematical Models and Methods for Living Systems: Levico Terme, Italy 2014: Lecture Notes in Mathematics, cartea 2167

Autor Pasquale Ciarletta Editat de Luigi Preziosi Autor Thomas Hillen Editat de Mark Chaplain Autor Hans Othmer Editat de Andrea Pugliese Autor Dumitru Trucu
en Limba Engleză Paperback – 10 noi 2016
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.
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Specificații

ISBN-13: 9783319426785
ISBN-10: 3319426788
Pagini: 350
Ilustrații: XI, 321 p. 111 illus., 78 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.47 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

A collaboration with CIRM, Trento Provides an overview of different mathematical models and methods applied to cell and tissue behaviour Gives many examples of application Includes more than 200 explanatory figures