LEADER 03596nam 22006375 450 001 9910279755403321 005 20251230064606.0 010 $a3-319-73371-0 024 7 $a10.1007/978-3-319-73371-5 035 $a(CKB)4100000002892251 035 $a(MiAaPQ)EBC5358051 035 $a(DE-He213)978-3-319-73371-5 035 $a(PPN)225551055 035 $a(EXLCZ)994100000002892251 100 $a20180316d2017 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultiscale Models in Mechano and Tumor Biology $eModeling, Homogenization, and Applications /$fedited by Alf Gerisch, Raimondo Penta, Jens Lang 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (205 pages) 225 1 $aLecture Notes in Computational Science and Engineering,$x2197-7100 ;$v122 311 08$a3-319-73370-2 327 $a1 An Introduction to Asymptotic Homogenization -- 2 Asymptotic Homogenization with a Macroscale Variation in the Microscale -- 3 Mathematical Models for Acid-Mediated Tumor Invasion:From Deterministic to Stochastic Approaches -- 4 Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model -- 5 Modelling Tissue Self-Organization: From Micro to Macro Models -- 6 A Multiscale Modeling Approach to Transport of Nano-Constructs in Biological Tissues -- 7 A Continuum Model of Skeletal Muscle Tissue with Loss of Activation -- 8 Optimal Control of Slender Microswimmers. 330 $aThis book presents and discusses the state of the art and future perspectives in mathematical modeling and homogenization techniques with the focus on addressing key physiological issues in the context of multiphase healthy and malignant biological materials. The highly interdisciplinary content brings together contributions from scientists with complementary areas of expertise, such as pure and applied mathematicians, engineers, and biophysicists. The book also features the lecture notes from a half-day introductory course on asymptotic homogenization. These notes are suitable for undergraduate mathematics or physics students, while the other chapters are aimed at graduate students and researchers. 410 0$aLecture Notes in Computational Science and Engineering,$x2197-7100 ;$v122 606 $aMathematics$xData processing 606 $aBiomathematics 606 $aDifferential equations 606 $aApproximation theory 606 $aComputational Mathematics and Numerical Analysis 606 $aMathematical and Computational Biology 606 $aDifferential Equations 606 $aApproximations and Expansions 615 0$aMathematics$xData processing. 615 0$aBiomathematics. 615 0$aDifferential equations. 615 0$aApproximation theory. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical and Computational Biology. 615 24$aDifferential Equations. 615 24$aApproximations and Expansions. 676 $a515.353 702 $aGerisch$b Alf$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPenta$b Raimondo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLang$b Jens$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910279755403321 996 $aMultiscale Models in Mechano and Tumor Biology$91563111 997 $aUNINA