MARC Record from Library of Congress

LEADER: 03019cam a22004097a 4500
001 2013932776
003 DLC
005 20130928082140.0
008 130208s2013 sz a b 001 0 eng d
010 $a 2013932776
016 7 $a016324461$2Uk
020 $a3034806140
020 $a9783034806145
035 $a(OCoLC)ocn821217455
040 $aYDXCP$cYDXCP$dOCLCQ$dOHX$dUKMGB$dCLS$dOCLCO$dSTF$dSUC$dNUI$dBWX$dDLC
042 $alccopycat
050 00 $aQH324.8$b.E34 2013
072 7 $aQA$2lcco
072 7 $aQH$2lcco
082 04 $a570.285$223
100 1 $aEfendiev, Messoud.
245 10 $aEvolution equations arising in the modelling of life sciences /$cMessoud Efendiev.
260 $aBasel [Switzerland] ;$aNew York :$bBirkhäuser,$cc2013
300 $axii, 217 p. :$bill. (some col.) ;$c25 cm.
490 1 $aInternational series of numerical mathematics ;$vv. 163
504 $aIncludes bibliographical references (p. 209-214) and index.
505 00 $tAuxiliary Materials --$tGlobal Attractors for Autonomous Evolution Equations --$tVerifying Life Science Models Containing Diffusion, Transport and Interaction of Species --$tPositivity Criterion for Systems of Stochastic PDEs --$tExistence and Longtime Behaviour of a Biofilm Model --$tThe Blood Coagulation Cascade in a Perfusion Experiment: Example from the Pharmaceutical Industry.
520 $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.
650 0 $aMathematics.
650 0 $aBiological models.
650 0 $aEcology.
650 0 $aDifferential equations, Partial.
650 0 $aPhysiology$xMathematics.
830 0 $aInternational series of numerical mathematics ;$vv. 163.
856 42 $3Contributor biographical information$uhttp://www.loc.gov/catdir/enhancements/fy1318/2013932776-b.html
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy1318/2013932776-d.html
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/enhancements/fy1318/2013932776-t.html