LEADER 02981nam a2200445 i 4500 001 991003409469707536 006 m o d 007 cr cnu|||unuuu 008 170810s2016 sz o 000 0 eng d 020 $a9783319426792 (electronic bk.) 020 $a9783319426785 (print) 024 7 $a10.1007/978-3-319-42679-2$2doi 035 $ab14329384-39ule_inst 082 04$a570.285$223 084 $aAMS 92-06 084 $aAMS 92C30 084 $aLC QH324.2-324.25 245 00$aMathematical Models and Methods for Living Systems$h[e-book] :$bLevico Terme, Italy 2014 /$cby Pasquale Ciarletta ... [et al.] ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese 260 $aCham :$bSpringer International Publishing :$bImprint: Springer,$c2016 300 $a1 online resource (XI, 324 p. 111 illus., 78 illus. in color.) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 490 0 $aLecture Notes in Mathematics,$x0075-8434 ;$v2167 505 0 $aPreface ; 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 520 $aThe aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods. Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases. 650 0$aEngineering mathematics 650 0$aBiomathematics 700 1 $aCiarletta, Pasquale$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0742231 700 1 $aPreziosi, Luigi 700 1 $aChaplain, Mark 700 1 $aPugliese, Andrea 773 0 $aSpringer eBooks 776 08$iPrinted edition:$z9783319426785 856 40$uhttps://link.springer.com/book/10.1007/978-3-319-42679-2$zAn electronic book accessible through the World Wide Web 907 $a.b14329384$b03-03-22$c10-08-17 912 $a991003409469707536 996 $aMathematical Models and Methods for Living Systems$91474448 997 $aUNISALENTO 998 $ale013$b10-08-17$cm$d@ $e-$feng$gsz $h0$i0