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010   $a3-0348-0615-9
024 7 $a10.1007/978-3-0348-0615-2
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035   $a(OCoLC)834101160
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035   $a(PQKBTitleCode)TC0000878868
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035   $a(DE-He213)978-3-0348-0615-2
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100   $a20130321d2013      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aEvolution Equations Arising in the Modelling of Life Sciences$b[electronic resource] /$fby Messoud Efendiev
205   $a1st ed. 2013.
210  1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2013.
215   $a1 online resource (217 p.)
225 1 $aInternational Series of Numerical Mathematics,$x0373-3149 ;$v163
300   $aDescription based upon print version of record.
311   $a3-0348-0780-5 
311   $a3-0348-0614-0 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 1 Auxiliary Materials -- 2 Global attractors for autonomous evolution equations -- 3 Verifying life science models containing diffusion, transport and interaction of species -- 4 Positivity criterion for systems of stochastic PDEs -- Existence and longtime behaviour of a biofilm model -- 6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry -- Index.
330   $aThis book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting.   The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.
410  0$aInternational Series of Numerical Mathematics,$x0373-3149 ;$v163
606   $aBiomathematics
606   $aPartial differential equations
606   $aEcology 
606   $aSystems biology
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
606   $aPhysiological, Cellular and Medical Topics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31020
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aTheoretical Ecology/Statistics$3https://scigraph.springernature.com/ontologies/product-market-codes/L19147
606   $aSystems Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/L15010
615  0$aBiomathematics.
615  0$aPartial differential equations.
615  0$aEcology .
615  0$aSystems biology.
615 14$aMathematical and Computational Biology.
615 24$aPhysiological, Cellular and Medical Topics.
615 24$aPartial Differential Equations.
615 24$aTheoretical Ecology/Statistics.
615 24$aSystems Biology.
676   $a628.1
676   $a628.144015118
700   $aEfendiev$b Messoud$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767841
906   $aBOOK
912   $a9910739448003321
996   $aEvolution Equations Arising in the Modelling of Life Sciences$93553872
997   $aUNINA