书目名称 | Mathematical Models of Cell-Based Morphogenesis |
副标题 | Passive and Active R |
编辑 | Hisao Honda,Tatsuzo Nagai |
视频video | |
概述 | Presents the advances in the understanding of pathways from genes to morphogenesis.Demonstrates how to apply mathematical methods such as vertex dynamics to novel biological fields.Examines the relati |
丛书名称 | Theoretical Biology |
图书封面 |  |
描述 | This 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 a |
出版日期 | Book 2022 |
关键词 | morphogenesis; remodeling; mathematical cell models; vertex cell dynamics; epithelium; shape of organ; sig |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-19-2916-8 |
isbn_softcover | 978-981-19-2918-2 |
isbn_ebook | 978-981-19-2916-8Series ISSN 2522-0438 Series E-ISSN 2522-0446 |
issn_series | 2522-0438 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |