LEADER 04449nam 22006135 450 001 9910735384203321 005 20251202165919.0 010 $a981-19-2916-5 024 7 $a10.1007/978-981-19-2916-8 035 $a(MiAaPQ)EBC7023514 035 $a(Au-PeEL)EBL7023514 035 $a(CKB)24094354000041 035 $a(BIP)84738294 035 $a(BIP)83840883 035 $a(DE-He213)978-981-19-2916-8 035 $a(EXLCZ)9924094354000041 100 $a20220627d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Models of Cell-Based Morphogenesis $ePassive and Active Remodeling /$fby Hisao Honda, Tatsuzo Nagai 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (195 pages) 225 1 $aTheoretical Biology,$x2522-0446 311 08$aPrint version: Honda, Hisao Mathematical Models of Cell-Based Morphogenesis Singapore : Springer,c2022 9789811929151 320 $aIncludes bibliographical references. 327 $aChapter 1. Introduction -- Chapter 2.Cell center model -- Chapter 3.Applications of the cell center model -- Chapter 4. Vertex mode -- Chapter 5.Applications of the cell models to 2D cell patterns -- Chapter 6.3D vertex model -- Chapter 7.The world of epithelial sheets[7·1] -- Chapter 8.Cells themselves produce force for active remodeling -- Chapter 9.Expansion of shape-dimension -- Chapter 10.Mathematical cell models and morphogenesis. 330 $aThis book describes the shape formation of living organisms using mathematical models. Genes are deeply related to the shape of living organisms, and elucidation of a pathway of shape formation from genes is one of the fundamental problems in biology. Mathematical cell models are indispensable tools to elucidate this problem. The book introduces two mathematical cell models, the cell center model and the vertex model, with their applications. The cell center model is applied to elucidate the formation of neat cell arrangements in epidermis, cell patterns consisting of heterogeneous-sized cells, capillary networks, and the branching patterns of blood vessels. The vertex model is applied to elucidate the wound healing mechanisms of the epithelium and ordered pattern formation involving apoptosis. Pattern formation with differential cell adhesion is also described. The vertex model is then extended from a two-dimensional (2D) to a three-dimensional (3D) model. A cell aggregate involving a large cavity is described to explain the development of the mammalian blastocyst or the formation of an epithelial vesicle. Epithelial tissues and the polarity formation process of the epithelium are also explained. The vertex model also recapitulates active remodeling of tissues and describes the twisting of tissue that contributes to understanding the cardiac loop formation of the embryonic tube. The book showcases that mathematical cell models are indispensable tools to understand the shape formation of living organisms. Successful contribution of the mathematical cell models means that the remodeling of collective cells is self-construction. Examining the successive iterations of self-constructions leads to understanding the remarkable and mysterious morphogenesis that occurs during the development of living organisms. The intended readers of this book are not only theoretical or mathematical biologists, but also experimental and general biologists, including undergraduate and postgraduate students who are interested in the relationship between genes and morphogenesis. . 410 0$aTheoretical Biology,$x2522-0446 606 $aCytology 606 $aBiomathematics 606 $aBiophysics 606 $aCell Biology 606 $aMathematical and Computational Biology 606 $aBiophysics 615 0$aCytology. 615 0$aBiomathematics. 615 0$aBiophysics. 615 14$aCell Biology. 615 24$aMathematical and Computational Biology. 615 24$aBiophysics. 676 $a571.833 700 $aHonda$b Hisao$f1943-$01377122 702 $aNagai$b Tatsuzo 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910735384203321 996 $aMathematical models of cell-based morphogenesis$93413747 997 $aUNINA