04168nam 22007095 450 99646676620331620200705115525.03-319-42679-610.1007/978-3-319-42679-2(CKB)3710000000981083(DE-He213)978-3-319-42679-2(MiAaPQ)EBC6287757(MiAaPQ)EBC5578193(Au-PeEL)EBL5578193(OCoLC)963930452(PPN)196887615(EXLCZ)99371000000098108320161109d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Models and Methods for Living Systems[electronic resource] Levico Terme, Italy 2014 /by Pasquale Ciarletta, Thomas Hillen, Hans Othmer, Luigi Preziosi, Dumitru Trucu ; edited by Luigi Preziosi, Mark Chaplain, Andrea Pugliese1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XI, 321 p. 111 illus., 78 illus. in color.)C.I.M.E. Foundation Subseries ;21673-319-42678-8 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.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.C.I.M.E. Foundation Subseries ;2167BiomathematicsMedicineApplied mathematicsEngineering mathematicsMathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Biomedicine, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/B0000XApplications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Biomathematics.Medicine.Applied mathematics.Engineering mathematics.Mathematical and Computational Biology.Biomedicine, general.Applications of Mathematics.570.15118Ciarletta Pasqualeauthttp://id.loc.gov/vocabulary/relators/aut742231Hillen Thomasauthttp://id.loc.gov/vocabulary/relators/autOthmer Hansauthttp://id.loc.gov/vocabulary/relators/autPreziosi Luigiauthttp://id.loc.gov/vocabulary/relators/autTrucu Dumitruauthttp://id.loc.gov/vocabulary/relators/autPreziosi Luigiedthttp://id.loc.gov/vocabulary/relators/edtChaplain Markedthttp://id.loc.gov/vocabulary/relators/edtPugliese Andreaedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996466766203316Mathematical Models and Methods for Living Systems1474448UNISA