LEADER 04147nam 22007095 450 001 9910156257903321 005 20200705115525.0 010 $a3-319-42679-6 024 7 $a10.1007/978-3-319-42679-2 035 $a(CKB)3710000000981083 035 $a(DE-He213)978-3-319-42679-2 035 $a(MiAaPQ)EBC6287757 035 $a(MiAaPQ)EBC5578193 035 $a(Au-PeEL)EBL5578193 035 $a(OCoLC)963930452 035 $a(PPN)196887615 035 $a(EXLCZ)993710000000981083 100 $a20161109d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Models and Methods for Living Systems $eLevico Terme, Italy 2014 /$fby Pasquale Ciarletta, Thomas Hillen, Hans Othmer, Luigi Preziosi, Dumitru Trucu ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XI, 321 p. 111 illus., 78 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2167 311 $a3-319-42678-8 327 $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. 330 $aThe aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods. Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases. 410 0$aC.I.M.E. Foundation Subseries ;$v2167 606 $aBiomathematics 606 $aMedicine 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aBiomedicine, general$3https://scigraph.springernature.com/ontologies/product-market-codes/B0000X 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aBiomathematics. 615 0$aMedicine. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aMathematical and Computational Biology. 615 24$aBiomedicine, general. 615 24$aApplications of Mathematics. 676 $a570.15118 700 $aCiarletta$b Pasquale$4aut$4http://id.loc.gov/vocabulary/relators/aut$0742231 702 $aHillen$b Thomas$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aOthmer$b Hans$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPreziosi$b Luigi$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTrucu$b Dumitru$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPreziosi$b Luigi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aChaplain$b Mark$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPugliese$b Andrea$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910156257903321 996 $aMathematical Models and Methods for Living Systems$91474448 997 $aUNINA