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Mathematical models and methods for living systems : Levico Terme, Italy 2014 / Pasquale Ciarletta...[et al.]. ; [edited by] Luigi Preziosi, Mark Chaplain and Andrea Pugliese.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2167. | CIME Foundation subseriesPublication details: Switzerland : Springer, 2016.Description: xi, 321 pages : illustrations (some color) ; 24 cmISBN:
  • 9783319426785 (alk. paper)
Subject(s): DDC classification:
  • 570.15118 23 C566
Contents:
1. Cell-based, continuum and hybrid models of tissue dynamics -- 2. The diffusion limit of transport equations in biology -- 3. Mathematical models of the interaction of cells and cell aggregates with the extracellular matrix -- 4. Mathematical modeling of morphogenesis in living materials -- 5. Multiscale computational modelling and analysis of cancer invasion.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 570.15118 C566 (Browse shelf(Opens below)) Available 137711
Total holds: 0

Includes bibliographical references.

1. Cell-based, continuum and hybrid models of tissue dynamics --
2. The diffusion limit of transport equations in biology --
3. Mathematical models of the interaction of cells and cell aggregates with the extracellular matrix --
4. Mathematical modeling of morphogenesis in living materials --
5. 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.

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