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020 _a9783319426792
_9978-3-319-42679-2
024 7 _a10.1007/978-3-319-42679-2
_2doi
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
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072 7 _aPDE
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082 0 4 _a570.285
_223
100 1 _aCiarletta, Pasquale.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMathematical Models and Methods for Living Systems
_h[electronic resource] :
_bLevico Terme, Italy 2014 /
_cby Pasquale Ciarletta, Thomas Hillen, Hans Othmer, Luigi Preziosi, Dumitru Trucu ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXI, 321 p. 111 illus., 78 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_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 _aMedicine.
650 0 _aMathematics.
650 1 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aBiomedicine general.
_0http://scigraph.springernature.com/things/product-market-codes/B0000X
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
700 1 _aHillen, Thomas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aOthmer, Hans.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPreziosi, Luigi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aTrucu, Dumitru.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPreziosi, Luigi.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aChaplain, Mark.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aPugliese, Andrea.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319426785
776 0 8 _iPrinted edition:
_z9783319426808
830 0 _aC.I.M.E. Foundation Subseries ;
_v2167
856 4 0 _uhttps://doi.org/10.1007/978-3-319-42679-2
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9402
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