1.

Record Nr.

UNISALENTO991003409469707536

Titolo

Mathematical Models and Methods for Living Systems [e-book] : Levico Terme, Italy 2014 / by Pasquale Ciarletta ... [et al.] ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese

Pubbl/distr/stampa

Cham : Springer International Publishing : Imprint : Springer, 2016

ISBN

9783319426792 (electronic bk.)

9783319426785 (print)

Descrizione fisica

1 online resource (XI, 324 p. 111 illus., 78 illus. in color.)

Collana

Lecture Notes in Mathematics, 0075-8434 ; 2167

Classificazione

AMS 92-06

AMS 92C30

LC QH324.2-324.25

Altri autori (Persone)

Ciarletta, Pasqualeauthor

Preziosi, Luigi

Chaplain, Mark

Pugliese, Andrea

Disciplina

570.285

Soggetti

Engineering mathematics

Biomathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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

Sommario/riassunto

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.