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Mathematical models and methods for ...
~
Preziosi, Luigi.
Mathematical models and methods for living systems = Levico Terme, Italy 2014 /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Mathematical models and methods for living systems/ by Pasquale Ciarletta ... [et al.] ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese.
Reminder of title:
Levico Terme, Italy 2014 /
other author:
Ciarletta, Pasquale.
Published:
Cham :Springer International Publishing : : 2016.,
Description:
xi, 324 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Biology - Mathematical models. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-42679-2
ISBN:
9783-319426792
Mathematical models and methods for living systems = Levico Terme, Italy 2014 /
Mathematical models and methods for living systems
Levico Terme, Italy 2014 /[electronic resource] :by Pasquale Ciarletta ... [et al.] ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese. - Cham :Springer International Publishing :2016. - xi, 324 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21670075-8434 ;. - Lecture notes in mathematics ;1943..
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.
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.
ISBN: 9783-319426792
Standard No.: 10.1007/978-3-319-42679-2doiSubjects--Topical Terms:
528533
Biology
--Mathematical models.
LC Class. No.: QH323.5
Dewey Class. No.: 570.15118
Mathematical models and methods for living systems = Levico Terme, Italy 2014 /
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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.
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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.
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Mathematics and Statistics (Springer-11649)
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