LEADER 02397nam 2200421 450 001 9910795161303321 005 20230803043732.0 010 $a3-8325-9148-6 035 $a(CKB)4910000000017353 035 $a(MiAaPQ)EBC5850425 035 $a5a8e86f4-726c-4765-bd21-66c5b0dd2d03 035 $a(EXLCZ)994910000000017353 100 $a20190917d2013 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultiscale modeling and homogenization of reaction-diffusion systems involving biological surfaces /$fIsabella M. Graf 210 1$aBerlin :$cLogos Verlag,$d[2013] 210 4$dİ2013 215 $a1 online resource (288 pages) $cillustrations 225 0 $aAugsburger Schriften zur Mathematik, Physik und Informatik ;$vBand 21 300 $aPublicationDate: 20130430 311 $a3-8325-3397-4 320 $aIncludes bibliographical references. 330 $aLong description: Many complex chemical processes are responsible for the proper functioning of the human body. A prime example is the finely structured endoplasmic reticulum, which plays an important role in the metabolisms of human cells. To handle mathematical models that account for this fine structure, periodic homogenization methods are derived and applied. Previous results on homogenization of partial differential equations on finely structured manifolds are extended: Using the periodic unfolding method, diffusion terms on manifolds with different scalings with powers of the homogenization parameter, in particular in case of fast diffusion, are homogenized and are applied in three different biological systems: a linear model of carcinogenesis of cells, a nonlinear extension of the linear carcinogenesis model and a model considering T-cell signaling. Simulations and interpretations of the homogeneous T-cell signaling model give an insight into the related biological mechanisms. 606 $aEndoplasmic reticulum 615 0$aEndoplasmic reticulum. 676 $a571.65 700 $aGraf$b Isabella Maria$f1984-$01467564 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910795161303321 996 $aMultiscale modeling and homogenization of reaction-diffusion systems involving biological surfaces$93678248 997 $aUNINA