02981nam a2200445 i 4500991003409469707536m o d cr cnu|||unuuu170810s2016 sz o 000 0 eng d9783319426792 (electronic bk.)9783319426785 (print)10.1007/978-3-319-42679-2doib14329384-39ule_inst570.28523AMS 92-06AMS 92C30LC QH324.2-324.25Mathematical Models and Methods for Living Systems[e-book] :Levico Terme, Italy 2014 /by Pasquale Ciarletta ... [et al.] ; edited by Luigi Preziosi, Mark Chaplain, Andrea PuglieseCham :Springer International Publishing :Imprint: Springer,20161 online resource (XI, 324 p. 111 illus., 78 illus. in color.)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarrierLecture Notes in Mathematics,0075-8434 ;2167Preface ; 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 invasionThe 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.Engineering mathematicsBiomathematicsCiarletta, Pasqualeauthorhttp://id.loc.gov/vocabulary/relators/aut742231Preziosi, LuigiChaplain, MarkPugliese, AndreaSpringer eBooksPrinted edition:9783319426785https://link.springer.com/book/10.1007/978-3-319-42679-2An electronic book accessible through the World Wide Web.b1432938403-03-2210-08-17991003409469707536Mathematical Models and Methods for Living Systems1474448UNISALENTOle01310-08-17m@ -engsz 00